The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.
SavingsAmount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48Amount saved in 4 years = Amount Hartman family saves monthly × Number of months
= $400 × 48
= $19,200
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The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.
SavingsAmount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48Amount saved in 4 years = Amount Hartman family saves monthly × Number of months
= $400 × 48
= $19,200
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The triangles are similar. What is the value of x? enter your answer in the box. X = two right triangles. The larger right triangle is labeled x on the longer leg, 12 on the shorter leg and 20 on the hypotenuse. The smaller triangle is labeled 4 on the longer leg, 3 on the shorter leg, and 5 on the hypotenuse.
The value of x is 16 units.
The triangles which are alike have the same shape and the measure of the three angles are also the same. The only thing which varies is their edges. However, the ratio of the sides of one triangle is equivalent to the ratio of the sides of another triangle, that is called the scale factor.we know that
If two triangles are similar, then the ratio of their corresponding sides is equal and is called the scale factor.
According to the question,
The larger right triangle of the longer leg is x units.
so,
[tex]\frac{12}{3} = \frac{x}{4}[/tex]
⇒ [tex]x = \frac{12 * 4}{3}[/tex]
∴x = 16
Therefore, the value of x is 16 units.
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Why 5 Is it possible to construct a triangle with lengths of its sides as 4 cm 3 cm and 7 cm give reason for your answer?
It is not possible to construct a triangle with the given lengths (4,3,7).
A triangle is a polygon. It has three sides and three vertices. It is one of the famous shapes in geometry. A triangle has three vertices A, B, and C, and is denoted ΔABC.
Triangle Inequality Theorem :
The summation of the lengths of any two sides of a triangle is greater than the length of the third side.
Given three sides are 4,3,7cm
We know that the summation of two sides of a triangle is greater than the third side.
But given sides, 4+3=7 ( using addition)
Hence, it is not likely to construct a triangle with lengths of sides 4cm, 3cm, and 7cm.
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HELPPP AGAIN PLEASEE. What is the equation of the line that passes through the point (-6,5) and has a slope of -3/2?
Answer:
y - y1 = m(x - x1)
y - 5 = -3/2 [x - (-6) ]
2 (y - 5) = 2 × -3/2 [x - (-6) ]
2y - 10 = -3 [x + 6]
2y - 10 = -3x - 18
2y- 10 + 3x + 18 = 0
2y + 3x -10 + 18 = 0
2y + 3x + 8 = 0
Step-by-step explanation:
I stated the formula to find the equation of the line . Then replaced the y1 and x1 with -6 and 5 respectively. I multiplied the whole equation by the LCM, which is 2. Group the whole equation to the left and equate it to 0. Then group like terms and solve. The final answer is the equation of the line
M. Nichol’ cla i having a dicuion about Greek mythology. One tudent ay, "The influence of the godde Demeter can be found throughout Greek hitory and culture. She i the godde of the harvet a well a the cycle of life. " Which would be an appropriate follow-up quetion to ak thi tudent?
an appropriate follow-up quetion to ak thi tudent is the culture
M. Nichol’ cla i having a dicuion about Greek mythology.. She i the godde of the harvet a well a the cycle of life.
What is the follow-up question to be asked?
M. There are four basic theories of myth. Those theories are: the rational myth theory, functional myth theory, structural myth theory, and the psychological myth theory.. Nichol’ cla i having a dicuion about Greek mythology.
What are the 3 biggest Greek gods?
Especially the “big three”. Zeus, Poseidon, and Hades.
an appropriate follow-up quetion to ak thi tudent is the culture
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6. Keith's charge account uses the unpaid-balance method to compute the finance charge
at a monthly periodic rate of 1.5%. His previous balance was $200. During the month,
he charged $178.62, made a $200 payment.
a. What is Kieth's unpaid balance?
b. What is Kieth's finance charge?
c. What is Kieth's new balance?
Keith's unpaid balance is $178.62, finance charge is $2.6795 and new balance is $181.2995
Kieth's unpaid balanceTo find Keith's unpaid balance, we need to find the difference between the previous balance and the payments made during the month.
Keith's previous balance was $200.
During the month, he charged $178.62, made a $200 payment.
So, Keith's unpaid balance is:
$200 (previous balance) - $200 (payment) + $178.62 (charges) = $178.62
Finance chargeTo find Keith's finance charge, we need to multiply the unpaid balance by the monthly periodic rate (1.5% in this case).
Keith's finance charge is:
$178.62 (unpaid balance) * 0.015 (monthly periodic rate) = $2.6795
New balanceTo find Keith's new balance, we need to add the finance charge to the unpaid balance.
Keith's new balance is:
$178.62 (unpaid balance) + $2.6795 (finance charge) = $181.2995
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one more than the difference between 18 and 7 times a number is -9
eight times a number plus 6 less than twice the number is 34
twelve less than the quotient of a number and 8 is -1
i don't think they're supposed to be fractions as going over the others in class didn't and tried checking over my work
Answer:
The difference between 18 and seven times a number: 18 - 7x
Step-by-step explanation:
(ii) One more than the difference between 18 and seven times a number:
Add 1 to the expression from step (i) and get
1 + (18 - 7x)
(iii) One more than the difference between 18 and seven times a number is -9:
Set expression from step (ii) equal to -9 and get
1 + (18 - 7x) = -9
You can simplify and solve for x.
What are the lines of longitude also called as Class 6?
Longitudes: The vertical lines running north-south, join the two poles. They are called the meridians of longitude. They are spaced farthest apart at the equator and converge at a point at each pole.
Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.
What is the uses of latitude?
Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.
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What is the accepted ratio * 1 point of an enlarged scale drawing?
Scale is represented as a ratio, such as 1:100. A drawing with a scale of 1:100 indicates that the thing is 100 times smaller than it would be in real life. You may also remark that one unit in the illustration equals one hundred units in real life.
What is the ratio of the larger scale?Enlarging scale indicates that the drawing is made with larger dimensions than the real dimensions of the thing. A representative proportion of 1:0.2 equals 5:1, implying that the depiction is five times larger than the actual thing. As a result, the scale is increasing in size.
On November 28, 2022, it was revised. A ratio scale is a quantitative scale with a real zero and equal gaps between nearby points. In contrast to an interval scale, a zero on a ratio scale indicates that the variable being measured is completely absent. Ratio scales include things like length, area, and population.
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Scale is represented as a ratio, such as 1:100. A drawing with a scale of 1:100 indicates that the thing is 100 times smaller than it would be in real life. You may also remark that one unit in the illustration equals one hundred units in real life.
What is the ratio of the larger scale?Enlarging scale indicates that the drawing is made with larger dimensions than the real dimensions of the thing. A representative proportion of 1:0.2 equals 5:1, implying that the depiction is five times larger than the actual thing. As a result, the scale is increasing in size.
On November 28, 2022, it was revised. A ratio scale is a quantitative scale with a real zero and equal gaps between nearby points. In contrast to an interval scale, a zero on a ratio scale indicates that the variable being measured is completely absent. Ratio scales include things like length, area, and population.
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Juanita has saved 20% of the money that she needs to buy a new bicycle If she has saved $36 how much money does the bycycle cost
Answer:
$180
Step-by-step explanation:
20*5=100
36*5=180
Answer: the cost of the bicycle is 180$
Step-by-step explanation:
If Juanita has saved 20% of the money she needs to buy a new bicycle and she has saved $36, we can calculate the cost of the bicycle using the following formula:
(100% - 20%) x cost of bicycle = $36
To find the cost of the bicycle, we can divide both sides of the equation by 80% (100% - 20%), like this:
cost of bicycle = $36 / (100% - 20%)
We know that Juanita has saved $36 and the percentage saved is 20% , so the cost of the bicycle is $180
The total charge on 4 particles is −36 units. All the particles have the same charge. What is the charge on each particle? (3 points) a −9 units b −8 units c 8 units d 9 units
how to find the acute angle of each angle in a triangle if the given angles are in the form of an equation
To find the acute angle of each angle in a triangle if the given angles are in the form of an equation follow the steps in the main answer part
What is the acute angle?To find the acute angles of a triangle given the angles in the form of an equation, you can use the following steps:
Write down the equation for the triangle's angles, typically in the form of "angle A + angle B + angle C = 180 degrees".Use the equation to solve for one of the angles. For example, if the equation is "angle A + angle B + angle C = 180 degrees", you can solve for angle A by subtracting angle B and angle C from 180 degrees.Repeat step 2 for the other angles.Check if the angles are acute or not. An acute angle is an angle that measures less than 90 degrees.If an angle is not acute, use the property of the triangle that the sum of all the angles is 180° and subtract the angle from 180° to get the acute angle.Example: Let's say you are given an equation,
A+B+C = 180°
If
A = 70°
B = 70° then
C = 40°
C is not acute, so subtract it from 180° to get C= 140°
Now you have A = 70° and C = 140° which are acute angles.
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If mary had 456 apple, and her iter had half of mary apple, and they both give half of their apple to their mom, nhow many apple doe the girl till have?
Answer:
Mary:228
iter:114
Step-by-step explanation:
Mary's "iter" would have 228 apples (half of what mary has) and would be left with 114 after giving half to her mother.
Mary would be left with 228 apples because 456/2=228.
m=-2/3b=-4 Write in slope intercept form, solve, graph
The equation for a slope of -2/3 and an intercept of -4 is 2x+3y+12=0.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.
Here,
y=mx+b
m=-2/3
b=-4
y=-2/3x+(-4)
y=-2x/3-4
3y=-2x-12
2x+3y+12=0
The equation for slope given as -2/3 and intercept as -4 is 2x+3y+12=0.
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Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden’s width to exceed the width of the tomato patch by 5 feet.
Let x represent the length, in feet, of the square tomato patch.
Write expressions to represent the length and width of Melissa’s vegetable garden in terms of x.
Enter the correct answer in the box.
y = ____
The expressions to represent the length and width of Melissa’s vegetable garden in terms of x include the following:
y = 3x + 2.
y = x + 5
How to write the required expressions?In order to write the expressions representing the length and width of Melissa’s vegetable garden, we would assign variables to its dimensions as follows;
Let the variable x represent the length of the tomato square patch.Let the variable y represent the length of the rectangular vegetable garden.Since Melissa wants the length of her rectangular vegetable garden to exceed three (3) times the length of the tomato square patch by 2 feet, the length of the rectangular vegetable garden with respect to its length is given by:
y = 3x + 2.
For the width, an expression for the rectangular vegetable garden's width with respect to the width of the tomato square patch is given by:
y = x + 5
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52.8% as fraction in simplest form
Answer:
66/125
Step-by-step explanation:
%52.8 = 52.8/100
= 0.528
0.528/1 x 1000/1000
=528/1000
=66/125
Is my birthday divisible by 3?
Yes, your birthday is divisible by 3.
To check if a number is divisible by 3, the sum of its digits must be divisible by 3. To determine the sum of the digits of your birthday, we can use the formula:
Birthday = abc
Sum of digits = a + b + c
For example, if your birthday is the 7th of December, 2020:
Birthday = 07122020
Sum of digits = 0 + 7 + 1 + 2 + 2 + 0 + 2 + 0 = 14
Since 14 is divisible by 3, your birthday is divisible by 3.
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There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nicke × there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
a. How many nickels, dimes, and quarters are in the piggy bank?
Answer:120 dimes, 80 nickels, and 300 quarters
Step-by-step explanation: Go step by step multiplying
Find the missing side length. Tell if the side lengths form a Pythagorean triple. Also, identify the correct explanation.
The missing side length is 17 and the side lengths 8, 15, and 17 form a Pythagorean triple.
Side lengths: 8, 15
Missing side length: 17
Yes, the side lengths form a Pythagorean triple. The side lengths 8, 15, and 17 form a Pythagorean triple because 8^2 + 15^2 = 17^2.
To answer this question, we first need to determine if the side lengths 8, 15 and the missing side length form a Pythagorean triple. To do this, we use the Pythagorean theorem which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. If this is true, then the side lengths form a Pythagorean triple.
In this case, we can plug in the side lengths 8 and 15 into the Pythagorean theorem. 8^2 + 15^2 = 17^2. Since the equation is true, this means that the side lengths 8, 15 and 17 form a Pythagorean triple. Therefore, the missing side length is 17.
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He tax rate a a percent, r, charged on an item can be determined uing the formula StartFraction c Over p EndFraction minu 1 equal r. – 1 = r, where c i the final cot of the item and p i the price of the item before tax. Louie rewrite the equation to olve for the final cot of the item: c = p(1 ). What i the final cot of a $40 item after an 8% tax i applied?
A $40 item will ultimately cost $43.2 when an 8% tax is included.
The formula Lousie used is:
c = p(1 + r)
We will solve this problem with the help of percentages.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
We are given that the price of the item is $40
r = 8% .
Therefore,
c = 40(1 + 8%)
c = 40 (1 + 8/100)
c = 40 ((100+8)/100)
c = 40 (108/100)
c = 40 * 1.08 = 43.2
Final cost = $43.2
Therefore the final cost of the $40 item after an 8% tax is applied will be $43.2.
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Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.
k = 2
The coordinates of the points after dilation is P'(6,10), Q'(8,0), and R'(2,2).
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Given that the scale factor is 2. The coordinates of the points after dilation is,
P(3,5) = P'(6,10)
Q(4,0) = Q'(8,0)
R(1,1) = R'(2,2)
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6(x + 3) = -84
Show work
Answer: -14
Step-by-step explanation:
1) Distribute
6(x+3) =-84
6*x + 6*3 =-84
6x + 18 = -84
2) Addition/Subtraction Inverse
6x + 18 =-84
-18. -18
3) Divide/Multiply Inverse
6x = -84
-84/6x = -14
Answer:
x = -17
Step-by-step explanation:
6(x + 3) = -84
6x + 18 = -84
6x = -84 - 18
6x = -102
x = -102 : 6
x = -17
------------------------------------
check6(-17 + 3) = -84
-102 + 18 = -84
-102 = -84 - 18
-102 = -102
the answer is good
If the length of each side of a square is represented by 3x + 5, which expression represents the perimeter?
(1)
2)
3)
4) 9x² + 6x + 25
6x +10
12x + 20
12x² + 20
The expression that represents the perimeter is 12x+20 the correct option is C
What is perimeter?Perimeter is the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those of equal length n sides).
Given;
The length of each side of square= 3x+5
Perimeter of square= 4a
where, a is the length of each side
So,
perimeter= 4 x (3x+5)
= (4 x 3x) + (4 x 5)
= 12x +20
Therefore, the perimeter will be12x+20
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What is the equation of this line in slope intercept form?
y = mx + b
m = slope
b = y-intercept
The equation of the line in slope intercept form is y = -4x + 1.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Intercept of a line is the point where the line touches with one of the axis.
The general equation of a line in slope intercept form is,
y = mx + d, where m is the slope and d is the y intercept.
y intercept point touches the y axis.
Take any two points from the line.
Let it be (0, 1) and (-1, 5).
Slope = (5 - 1) / (-1 - 0) = 4 / (-1) = -4
m = -4
We have the point (0, 1), where the line touches the Y axis.
y intercept, d = 1.
Equation of the line is,
y = -4x + 1
Hence the equation of the line is y = -4x + 1, when slope is -4 and y intercept is 1.
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ASAP
If f(x)= 3x-4, which of these is the inverse of f(x)?
O A. f-¹(x)=X-4/3
B. f¹(x)=x+4/3
OC. F¹(x) = x/3+4
OD. ¹(x)=x/3-4
Answer:
Step-by-step explanation:
f(x)=−3x−4
f
(x)=−3x−4 as an equation.
y=−3x−4 Interchange the variables.
x=−3y−4 Solve for y
y=−x3−4
3 Replace y with f−1(x) to show the final answer.
f−1(x)=−x3−43 Verify if f−1(x)=−x3−43
is the inverse of (x)=−3x−4.
F−1(x)=−x3−43
What is dilating by a scale factor?
The dilation transformation is determined by the scale factor and the centre of dilation. The image stretches when the scaling factor exceeds 1. When the scale factor is between 0 and 1, the image gets smaller.
What is scale factor of dilation?Ratio of scale (Dilation) How much larger or smaller the image will be depends on the scale factor in a mathematical object's dilatation (compared to the original object). When the scaling factor's absolute value exceeds 1, an expansion takes place.The x and y values of each point will be multiplied by 2 to enlarge the graphic by a factor of 2. To identify the new triangle, I plotted each new point. The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two.A scale factor is defined as the ratio of an original object's scale to that of a new, smaller version of the original object.To learn more about dilation refer to:
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The dilation transformation is determined by the scale factor and the center of dilation. The image stretches when the scaling factor exceeds 1. When the scale factor is between 0 and 1, the image gets smaller.
What is scale factor of dilation?Ratio of scale (Dilation) How much larger or smaller the image will be depends on the scale factor in a mathematical object's dilatation (compared to the original object). When the scaling factor's absolute value exceeds 1, an expansion takes place.
The x and y values of each point will be multiplied by 2 to enlarge the graphic by a factor of 2. To identify the new triangle, I plotted each new point. The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two.
A scale factor is defined as the ratio of an original object's scale to that of a new, smaller version of the original object.
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what is y=x-1 if y=x+5
Answer:
I think your question is incorrect
24. Mr. Karbon is 35 years old and his heart beats on average 62 beats per minute.
How many times has his heart been beating during his life? (assume there are no leap
years)
Mr. Karbon 1,14,05,52,000 times has his heart been beating during his life.
Adults typically have a resting heart rate between 60 and 100 beats per minute. A lower resting heart rate typically indicates improved cardiovascular fitness and more effective cardiac function. A well-trained athlete, for instance, might have a typical resting heart rate that is closer to 40 beats per minute.
Based on your age, you may calculate your maximum heart rate. Subtract your age from 220 to get a ballpark idea of your maximal age-related heart rate. For instance, the predicted maximum age-related heart rate for a 50-year-old person would be computed as 220 - 50 years = 170 beats per minute (bpm).
There are total 60 minutes in an hour,
1440 minutes in a day,
There are 365 days in a year,
and Mr. Karbon has lived for 35 years.
his heart beats on average 62 beats per minute.
His heart has beaten for 35 × 365 × 1440 × 62
1,14,05,52,000 times has his heart been beating during his life.
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Quarter 2 Assessment
The line models the temperature on a certain winter day since sunrise. What is the y-intercept of the
line? What does the y-intercept represent?
Temperature (degrees Celsius)
10-
6
4
0
Temperature Since Sunrise
2
6
4
Hours after Sunrise
00-
8
10
I
The y-intercept is
What does the y-intercept represent?
O
O
O
O
The rate the temperature increases
The temperature at sunrise
The temperature at sunset
The rate the temperature decreases
The point on a line where it crosses the y-axis is known as the y-intercept.
Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.
The temperature initially climbs to 5 degrees Celsius.
formula for a line
A line's y-intercept, also known as the point where the x-coordinate equals zero, is where the line intersects the y-axis.
You can see from the graph that the line intersects the y-axis at y = 5. This demonstrates that the temperature initially increases to 5 degrees Celsius.
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Complete question -
How do you write an inequality step by step?
An inequality in mathematics shows how two values are related in an imbalanced algebraic expression.
What is meant by inequality?In mathematics, an inequality displays the connection between two values in an unbalanced algebraic statement. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
There are four ways to depict an inequality: solution graph, interval notation, set notation, and equation notation.
A comparison of any two values, known as an inequality, demonstrates whether one value is less than, larger than, or equal to the value on the opposite side of the equation. A relationship in a real-world scenario can be demonstrated by writing an inequality.
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A student solved the following problem and made an error:
Triangles ABC and DEF. Angles A and F are congruent and measure 135 degrees. The coordinates for the vertices are at A 0, 2 and B 2, 4 and C 0, 0 and D 2, 0 and E 4, 4 and F 4, 2.
Line 1 segment AC equals 2, segment DF equals 2, segment AC is congruent to segment DF
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AB.
A (0, 2)
B (2, 4)
d equals square root of quantity x sub 1 minus x sub 2 squared plus quantity y sub 1 minus y sub 2 squared, then d equals the square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, then d equals the square root of negative 2 squared plus negative 2 squared, then d equals the square root of 4 plus 4, then d equals the square root of 8
segment AB = 2.83
Line 4 Length of segment FD.
D (2, 0)
F (4, 2)
d equals the square root of quantity x sub 1 minus x sub 2 squared plus quantity y sub 1 minus y sub 2 squared then d equals the square root of quantity 2 minus 4 all squared plus quantity 0 minus 2 all squared, then d equals the square root of negative 2 squared plus negative 2 squared, then d equals the square root of 4 plus 4, then d equals the square root of 8
segment FD = 2.83
Line 5 segment AC is congruent to segment FD
Line 6 triangle ABC is congruent to triangle FDE by SAS
In which line did the student make the first mistake?
Triangle ABC is congruent to triangle FDE by SAS congruence. Therefore, students did mistake in line 1.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, in triangles ABC and DEF
∠A≅∠F=135°
The coordinates for the vertices are at A(0, 2), B(2, 4) and C(0, 0)
In triangle DEF, we have D(2, 0), E(4, 4) and F(4, 2)
AC= 2 units and DF= 2 units
AC≅DF
Length of segment AB.
A (0, 2) and B (2, 4)
Here, d=√[(x₂-x₁)²+(y₂-y₁)²]
= √[(2-0)²+(4-2)²]
= √8
AB = 2.83
Length of segment FD.
D (2, 0)
F (4, 2)
Here, d=√[(4-2)²+(2-0)²]
FD= = 2.83
AC≅FD
Triangle ABC is congruent to triangle FDE by SAS congruence
Hence, students did mistake in line 1.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
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