Answer:
General conditions of congruency of triangles
Step-by-step explanation:
As no triangles are given, explaining the general rules to apply in congruency of all triangles.
Triangles are congruent on the basis of following conditions :
SSS : All 3 sides of two triangles are equal SAS : 2 sides & angle between them, of two triangles are equal ASA : 2 angles & corresponding side, of two triangles are equal HL : Hypotenuse & Leg of two right angled triangles are equalThe perimeter of the polygon shown in the figure is _______. Question 9 options: 204 units 2√34 +6 units 15 units 30 units
Answer:
[tex] 2\sqrt{34} + 6 units [/tex]
Step-by-step explanation:
The perimeter of the polygon shown = AC + BC + AB
Using distance formula, calculate the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], calculate AC, BC, and AB.
The coordinates of the points are as follows,
A(3, 5),
B(0, 0)
C(6, 0)
Find AB:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
A(3, 5) => (x1, y1)
B(0, 0) => (x2, y2)
[tex] AB = \sqrt{(0 - 3)^2 + (0 - 5)^2} [/tex]
[tex] AB = \sqrt{(-3)^2 + (-5)^2} = \sqrt{9 + 25} = \sqrt{34} [/tex]
[tex] AB = \sqrt{34} units [/tex]
Find BC:
BC is easy to determine from the graph directly. The distance from point B to C, is 6 units.
Find AC:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
A(3, 5) => (x1, y1)
C(6, 0) => (x2, y2)
[tex] AC = \sqrt{(6 - 3)^2 + (0 - 5)^2} [/tex]
[tex] AB = \sqrt{(3)^2 + (-5)^2} = \sqrt{9 + 25} = \sqrt{34} [/tex]
[tex] AC = \sqrt{34} units [/tex]
Perimeter of the polygon = [tex] \sqrt{34} + 6 + \sqrt{34} [/tex]
[tex] = (\sqrt{34} + \sqrt{34}) + 6 [/tex]
[tex] = 2\sqrt{34} + 6 [/tex]
Answer:
2√34 +6 units
Step-by-step explanation: I took the test
9x + 1 - 7x - 5 = -20
Answer:
-8
Step-by-step explanation:
First add together the x's.
2x + 1 - 5 = -20
Now add 1 and -5,
2x - 4 = -20
Add 4 to both sides,
2x - 4 + 4 = -20 + 4
2x = -16
Divide both sides by 2,
2x/2 = -16/2
x = -8
What is the domain and range of the graph?
Answer:
Domain (0, ∞)
Range (-∞, ∞)
Step-by-step explanation:
The domain is the input values
The input is from 0 to infinity
Domain (0, ∞)
The range is the output values
The input is from negative infinity to infinity
Range (-∞, ∞)
the sum of two numbers divided by 9
I'm not sure what you're asking.... but
18+18=36
36 divided by 9 is equal to 4
the answer is 4
What is the greatest common factor of 12 and 48?
12
24
36
48
Answer:
12
Step-by-step explanation:
12 48........(2)
6 24........(2)
3 12.........(3)
1 4...........4
4
Multiplication in the parentheses is our greatest common factor of 12 and 48
2 x 2 x 3 = 12
Answer:
12
Step-by-step explanation:
The greatest factor of 12 is 12
What is the absolute value of –20?
Use the number line to answer the question.
Write a written expression for 1/4( 9 - X)
Answer: The written expression for this equation is one - fourth multiplied by nine minus a number. The variable is "a number" and you use the pronunciation of the other numbers.
Can someone please help
Answer:
5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{150}[/tex]
= [tex]\sqrt{25(6)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{6}[/tex]
= 5[tex]\sqrt{6}[/tex]
The area of a square is 8 square meters. Which of these is
closest to the length of one side of the square?
F. 2 meters
G. 2.8 meters
J. 4 meters
H. 3.5 meters
Answer:
G
Step-by-step explanation:
Area of square = 8 m²
Side * side = 8
side = √8
side = 2.82
Side = 2.8 m
Answer:
G 2.8
Step-by-step explanation:
please help me with this fast!
Answer:
37
Step-by-step explanation:
4x - 6 + x + 3 can be simplified to 5x - 3 by combining like terms.
substituting 8 for x, you get 5*8 - 3
evaluating, 40 - 3 = 37
hey guys.... please help me with this question ,chapter lines and angles and i will mark u the brainiest if u answer it 1st (6 marks)
Answer:
Step-by-step explanation:
Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.
Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.
Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.
SOLUTION:
Given: ∠AGE=126°
∠AGE=∠GED=126∘ [alternate interior angles]
(ii) ∠GED=∠GEF+∠FED=126∘
∠GEF + 90° =126°
(GIVEN that EF⊥CD)
∠GEF=126°−90°=36°
∠GEF=36°
(iii) ∠CEG+∠GED=180°
(GIVEN ∠GED=126∘)
∠CEG+126° =180°
∠CEG=180° −126°
∠CEG=54°
∠FGE=∠CEG= 54° (alternate angles)
Use the figure to write the segment addition postulate, write and equation and solve for x.
Pls explain
Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
From the figure given, we have points A,B, and C, that are collinear. Therefore, according to the segment addition postulate, [tex] AB + BC = AC [/tex].
We are given that:
AB = 9x + 7
BC = -5x + 20
AC = 39
An equation that can be used to solve for x would be:
[tex] (9x + 7) + (-5x + 20) = 39 [/tex]
Solve for x
[tex] 9x + 7 - 5x + 20 = 39 [/tex]
[tex] 9x - 5x + 7 + 20 = 39 [/tex]
[tex] 4x + 27 = 39 [/tex]
Subtract 27 from both sides
[tex] 4x + 27 -27 = 39 - 27 [/tex]
[tex] 4x = 12 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{12}{4} [/tex]
[tex] x = 3 [/tex]
Please help me I'm stuck
please help me asap 10 points.
Step-by-step explanation:
1).[tex] \frac{x}{8} = \frac{9}{24} [/tex]
Cross multiply
We have
24x = 72
Divide both sides by 24
That's
[tex] \frac{24x}{24} = \frac{72}{24} [/tex]
We have the answer as
x = 32).3x² + 2x - 10
when x = - 1
Substitute the value of x into the expression
That's
3(-1)² + 2(-1) - 10
= 3 - 2 - 10
We have the answer as
- 9When x = 0
That's
3(0) + 2(0) - 10
= - 10When x = 1
That's
3(1)² + 2(1) - 10
= 3 + 2 - 10
= 5 - 10
= - 53).[tex] \sqrt{( - 9)} [/tex]
First of all apply the radical rule
That's
[tex] \sqrt{ - a} = \sqrt{ - 1} \times \sqrt{a} [/tex]
So we have
[tex] \sqrt{ - 9} = \sqrt{ - 1} \times \sqrt{9} [/tex]
Using the imaginary rule
That's
[tex] \sqrt{ - 1} = i[/tex]
We have
[tex] \sqrt{9} \times i[/tex]
We have the final answer as
3i 4).[tex] \frac{1}{x} [/tex]
when x = 0
We have
[tex] \frac{1}{0} = 0[/tex]
when x = 1
[tex] \frac{1}{1} = 1[/tex]
when x = 2
We have
[tex] \frac{1}{2} [/tex]
Hope this helps you
The base of a triangle measures 6 inches less than its height. If the area of the triangle is 20 square inches, find the base and height using the formula A= 1/2bh
Answer:
height = 10 inches
base = 6 inches
The height and base width of the triangle will be 4 inches and 10 inches, respectively.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The base of a triangle measures 6 inches less than its height. If the area of the triangle is 20 square inches. Then the equations are given as,
b = h - 6 ...1
20 = (1/2)bh
40 = bh ...2
From equations 1 and 2, then we have
40 = (h - 6)h
40 = h² - 6h
h² - 6h - 40 = 0
h² - 10h + 4h - 40 = 0
h(h - 10) + 4(h - 10) = 0
(h - 10)(h + 4) = 0
h = 10, -4
The height can be negative, so neglect -4. Then the width of the triangle is given as,
b = 10 - 6
h = 4
The height and base width of the triangle will be 4 inches and 10 inches, respectively.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
#SPJ2
Ms. Wertz graded 20% of the tests for her class in 16 minutes. How many minutes will it take to grade all of the tests?
Answer:
The entire class is done in 80 minutes
Step-by-step explanation:
20 % = 20/100 = 1/5
1/5 of the class in 16 minutes
Multiply each by 5
1/5 *5 of the class in 16*5 minutes
1 of the class in 80 minutes
The entire class is done in 80 minutes
You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a luncheon at $800. What does your price need to be to get customers to try your business? a) $160 b) $640 c) $800 d) $850
Answer:
b) $640
Step-by-step explanation:
Competitor's price = $800
Price, 20% below of competitor's:
$800 - 20% = $800*(100-20)/100 =$800*0.8 = $640Correct answer choice is b) $640
distributive property 91 = - 7 (3x - 1 )
a food store has two stacks of rice weighing 26.3 kg each . what quantity of rice was sold during a day , of at the end of the day the total quantity of rice in the store is 35.5 kg ?
Answer:
17.1 kg
Step-by-step explanation:
One stack of rice = 26.3 kg
Two stacks of rice = 2 *26.3 = 52.6 kg
Remaining rice at end of day = Total weight of two stacks - quantity of rice sold in day
= 52.6 - 35.5
= 17.1 kg
The variable Weight (lb. or kg) is measured on a ___________ scale of measurement Interval Ratio Nominal Ordinal.
Answer:
Interval Ratio
Step-by-step explanation:
In statistics, the level of measurement used for a variable determines the what summary statistics and analysis are possible. There are three types of level of measurement.
Nominal
Ordinal
Interval/ Ratio
The nominal is the most basic level of measurement. It is known as categorical or qualitative. Examples includes, numbers,color, sex. Nominal can be stored as a word or text or given a numerical code.However, the number do not imply order. They are usually expressed in percentage
Ordinal are variables based on ranks, they are usually have a meaningful order but the intervals between the variables may not be equal. They are usually expressed in frequencies.
The interval/ratio level of measurement is the most precise level of measurement. Data can be measured and ordered. Examples include, number of customers, age, weight or size. Interval / Ratio data is also known as scale, parametric or quantitative. Interval / Ratio can be discrete with whole numbers or continuous with fractional numbers.
Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 20 to positive 20 in increments of 4 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 16 and 0, 0 and 4, 16. y = fraction 1 over 4 + x y = fraction 1 over 4x y = 4 + x y = 4x
Answer:
y = 4x
Step-by-step explanation:
Points on the graph:
(-4, -16), (0,0), (4, 16)Slope intercept form:
y = mx + bWorking out slope using two of the points:
m= (y2-y1)/(x2-x1)m= (0- (-16))/(0- (-4))m= 16/4m= 4The equation is now:
y = 4x + bUsing one of the points to find b:
-16 = 4*(-4) +b -16 = -16 + bb = 0So the final form is:
y = 4xCorrect answer choice is the last one
Answer:
The Answer would be y=4x
Step-by-step explanation:
I had this on a quiz once
HELP S.O.S HELPPPPPP ME Agranola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other
ingredients. One gram of carbohydrate contains 4 calories.
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. What could the 5 represent in this situation?
2. Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.
3 Find the solution to the equation,
Answer:
see below
Step-by-step explanation:
4c + 5 = 27
1. 5 is the calories that come from something else besides carbohydrates in the one bite.
2.
Test the values 8 and 3
4*8 +5 = 32+5 = 37 this does not equal 27
4*3+5 = 12+5 = 17 this does not equal 27
neither 8 nor 3 are solutions
3.
4c + 5 = 27
Subtract 5 from each side
4c + 5-5 = 27-5
4c = 22
Divide each side by 4
4c/4 = 22/4
c =5.5
Answer:
A. The 5 would stand for the other ingredients.
B. She is correct since if you plug in those numbers for c they would be wrong
C. 5.5
Step-by-step explanation:
A. The 5 would stand for the other ingredients.
The reason that it is the other ingredients since it is the only other possible answer
B. She is correct since if you plug in those numbers for c they would be wrong
C. 5.5
To do this you would just subtract 5 from both sides leaving you with 4c=22 then you would divide 4 from both sides so you get c= 22/4 and when you simplify you get 11/2 which as a number is 5.5
-3h -6(5h/3 += 7/2 ) +9h = -53
Find the value for h
Answer:
h= -5.8
Step-by-step explanation:
Margo uses dots to track her activities on a calendar. Red dots represent homework, yellow dots represent work, and green dots represent practice. In a typical week she uses 5 red dots, 3 yellow dots, and 4 green dots. How many activities does Margo do in 4 weeks?
Answer: Margo does 48 activities in 4 weeks.
Step-by-step explanation:
In the calendar,
Red dots represent homework, yellow dots represent work, and green dots represent practice.
On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.
That means , total activity he does in a week = 5+3+4=12
Then, total activities in 4 weeks = 4 x 12 = 48
Hence, Margo does 48 activities in 4 weeks.
EXAMPLE 11 Show that the points (1,-1),(5,2) and (9,5) are collinear
Answer:
see explanation
Step-by-step explanation:
They are collinear if the have the same slope
(2 - -1)/(5 - 1) = 3/4
(5 - 2)/(9 - 5) = 3/4
(5 - -1)/(9 - 1) = 6/8 = 3/4
Step-by-step explanation:
Hey, there!!!
Your question is about showing the points A(1,-1), B(5,2) and C(9,5) as a collinear point.
We generally slope to find weather the points are collinear or not.
So, let's find slope for AB.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] slope = \frac{2 + 1}{5 - 1} [/tex]
Therefore, slope of AB = 3/4.
Now, slope of BC.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]slope \: (m) = \frac{5 - 2}{9 - 5} [/tex]
Therefore, the slope is 3/4.
now, lastly slope of AC.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]slope(m) = \frac{5 + 1}{9 - 1} [/tex]
Therefore, the slope of AC is 3/4.
As all point have same slope. They are collinear point.
Hope it helps...
Solve 17 and 23, will give BRAINLIST!!!
Answer:
17 = x/18 and 23 = .84/n
Step-by-step explanation:
Answer:
17. x =18
23. n =0.84
Step-by-step explanation:
17.
[tex]\frac{6}{5} = \frac{x}{15} \\\\\frac{x}{15}=\frac{6}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}15\\\\\frac{15x}{15}=\frac{6\cdot \:15}{5}\\\mathrm{Simplify\:}\frac{15x}{15}:\quad x\\\\\mathrm{Simplify\:}\frac{6\cdot \:15}{5}:\quad 18\\\\x=18\\[/tex]
23.
[tex]\frac{2}{0.21}=\frac{8}{n}\\\\ \mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\\\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\times \:d=b\times \:c\\\\2n=0.21\times \:8\\\\\mathrm{Simplify\:}0.21\times \:8:\quad 1.68\\\\2n=1.68\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2n}{2}=\frac{1.68}{2}\\\\Simplify\\\\n=0.84[/tex]
It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. To this claim, a random sample of 20 automobile owners is asked to keep a record of the kilometers they travel. Would you agree with the claim if the random sample showed an average of 23,500 kilometers and standard deviation of 3900 kilometers? Use alpha = 5%.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
Help PLZ HAVENT HAD HELP IN TWO HOUR JUST ONE QUESTION One card is to be drawn from a deck of 52 cards.The deck includes four types of cards.Red heart, red stars , black triangles , black circles .Each type has 13 cards numbered 1-13.What is the probability of drawing a red one a, black three , or a six of hearts.Give your answer in the simplify form .
Answer:
FOR red one = 1/26
FOR black three = 1/26
FOR six of hearts = 1/52
Step-by-step explanation:
TECHNICALLY EVERY CARD WOULD BE 1/52 BUT SINCE THERE R TWO DIFFERENT TYPES OF BLACKS AND REDS THE FIRST TWO ARE 1/26
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
What is the sum of the complex numbers -9 - i and -5 - i?
1. -14 - 2i
2. 14 - 2i
3. 14 + 2i
4. -14 + 2i
The graph of y= |x| is reflected across the x axis and then scaled vertically by a factor of 7 what is the equation of the new graph
Answer:
Option (B)
Step-by-step explanation:
Given equation of the absolute function is,
y = |x|
When this function is reflected across the x-axis, new equation of the graph will be
y = -|x|
Now the image of the given function has been scaled vertically by a factor of 7,
Therefore, equation of the new graph will be,
y = -7|x|
Option (B) is the correct option.