Given: m∠B = 46°; m∠C = 45°; m∠R = 46°; m∠T = 89° Prove: △ABC ~ △TRS Triangles A B C and T R S are shown. Angles A B C and T R S are 46 degrees. Angle B C A is 45 degrees. Angle R T S is 89 degrees. Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof? △ABC is an acute triangle. △TRS is larger than △ABC. The sum of the measures of the interior angles of a triangle is 180°. The sum of the side lengths of two sides of a triangle is greater than the third side length.
Answers
Answer:
C) The sum of the measures of the interior angles of a triangle is 180°.
Step-by-step explanation:
I got it correct on edge
The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two triangles shown in the picture.
Angle B = 46 degrees
Angle C = 45 degrees
Angle A = 180 - 45 - 46 = 89 degrees
Angle R = 46 degrees
Angle S = 180 - 46 - 89 = 45 degrees
Angle T = 89 degrees
Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.
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Related Questions
Which one is smaller
Answers
Answer:
Jasmine
Step-by-step explanation:
Michelle: .75
Mike: .66
Rasheed: .83
Jasmine: .57
Which two equations have no solution? Explain how you determine your answer.
1. -2x - 6y = 36 - 4x
2. 2(3x - 3y) = 36
3.4x - 6y + 36 = -2x
Answers
what is the value for x if the perimeter is 45
Answers
Answer:
11
Step-by-step explanation:
Perimeter of the triangle = 45
x + x + 7 + x + 5 = 45
3x + 12 = 45
3x = 45 - 12
3x = 33
x = 33 /3
x = 11
Hope it will help:)
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
Answers
The discounted price of a pizza will be $1.8.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The pizza shop offers a 15 percent discount for veterans and senior citizens.
And, The price of a pizza = $12
Now,
Since, The price of a pizza = $12
And, The pizza shop offers a 15 percent discount for veterans and senior citizens.
Hence, The discounted price of pizza = 15% of $12
= 15 x 12 / 100
= $1.8
Thus, The discounted price of a pizza will be $1.8.
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Answer:
You can subtract the discount percent from 100% and then multiply that by the original price.
Find x and y and c. Answer this is the next 2 days please.
Answers
Here:
(I added you to the doc so you can see it, don't worry)
IWILL GIVE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
Which statement is true about the scatter plot? Select all that apply.
Answers
The scatter plot shows a correlation.
The bulb wattage is the independent variable.
Heat is the dependent variable.
Options A, C, and D are the correct answers.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
From the scatterplot,
We see that,
The bulb wattage is the independent variable.
Heat is the dependent variable.
Now,
As the bulb wattage increases, the heat also increases.
This means,
It shows a correlation.
Thus,
The scatter plot shows a correlation.
The bulb wattage is the independent variable.
Heat is the dependent variable.
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C(a)=7500a−1500C, left parenthesis, a, right parenthesis, equals, 7500, a, minus, 1500, M(c) = 0.9c - 50M(c)=0.9c−50M, left parenthesis, c, right parenthesis, equals, 0, point, 9, c, minus, 50, y M(C(a))=6750a-1400M(C(a))=6750a−1400
Answers
Here's link to the answer:
tinyurl.com/wpazsebu
50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
Answers
Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
1.
Solve 17 - x = 1 + 3x
Answers
We’ll combine like terms by getting all the x terms on the right, all the digits on the left.
16 = 2x
Divide both sides by 2
x = 8
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Which of these is a Pythagorean Triple?
1,1 square root of 2.
1, square root of 3, 2
11, 50, 51
20, 21, 29
Answers
Answer:
1, 1, sqrt of 2
HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?
A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.
Answers
Answer:
B
Step-by-step explanation:
This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.
Answer:
B
Step-by-step explanation:
Hope this helps have a great day :)
refer to the right triangle ABC below. Identify the correct values for B and C
Answers
Answer:
B=12.2
C=5.4 is your answer
2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal distribution with a mean of 31.3 degrees and a standard deviation of 2.8 degrees Fahrenheit. The Federal Department of Agriculture mandates that food inspectors make sure that all restaurants fine a location up to $1,500.00 if the temperature in cold food storage goes above the bottom 15% of that distribution for safety and insurance purposes. What temperature correlates to the bottom 15% of this distribution?
Answers
Answer:
28.4
Step-by-step explanation:
Given that:
Mean, m = 31.3
Standard deviation, s = 2.8
Since, data is normally distributed :
P(x < 0.15) gives a Z value of - 1.036
Using the Zscore formula :
Z = (x - mean) / standard deviation
-1.036 = (x - 31.3) / 2.8
-1.036 * 2.8 = x - 31.3
-2.9008 = x - 31.3
-2.9008 + 31.3 = x
28.3992 = x
The temperature which correlates to the bottom 15% of the distribution is 28.4
What is the value of x in the matrix equation below?
Answers
Answer:
The value of X is 2
Step-by-step explanation:
hope it helps you...
have a great day
Answer:
C. 2
Step-by-step explanation:
on edge
The segments shown below could form a triangle.
A. True
B. False
Answers
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answers
Answer:
false
true
true
false
.......
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
Answers
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
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Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
Numbers 4 and 6 HURRRY!!!
Answers
Answer:
Certain because the papers are labeled from 1-12 you will always pick out a number less than 15
: 2 even numbers are the successes, (5) is the total probability.
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Answers
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
A chess club has 24 members, of which 1 is a male and the rest are females.
What is the ratio of males to all club members?
Answers
Answer:
1:24
Step-by-step explanation:
hope this helped
Which of the following tables does not represent a linear relationship between x and y?
Answers
Answer:
The first one is not liner
Step-by-step explanation:
This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate
If a duck have speed of 6 m/s in 10 s. What is the duck's distance?
Answers
Answer:
60 meters
Step-by-step explanation:
hope this helps
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?
Answers
Answer:
Step-by-step explanation:
Parallel lines: A and B
Rotation: 90° same direction
Translation: Right (same units)
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answers
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
Type the slope of the line PERPENDICULAR to y = 6x -3 *
Answers
Answer:
The slope of a line perpendicular is -1/6
Step-by-step explanation:
Perpendicular lines are opposite reciprocals so you would flip 6/1 to 1/6 and negate it. The answer is -1/6.
If CD is not parallel to EF, what is m2C?
Answers
The bill at a restaurant is $32 before tax. The tax on the bill is 5%. How much is the final bill including tax?
O $30.40
O $33.60
o $37.00
O $48.00
Answers
Answer: $33.60(B)
Step-by-step explanation:
Short way:
100+5 = 105
Convert to decimal:
1.05
Multiply:
32(1.05) = $33.60
Answer: $33.60
true or false? typing 720 words in 12minutes is equal to 60 words per minute
Answers
Answer:
720/60
=12
Yepz
Step-by-step explanation:
TrueHope it helps
Answer:
It's True
Step-by-step explanation:
1 minute = 60 words
then how many words in 12 minutes?
So, Multiply 12 with 60
12 × 60 = 720
Thus, 720 words can be type in 12 minutes
-TheUnknownScientist
(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years?
Answers
Answer:
The total amount that he would have paid after 3 years is $1183.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
I represents interest paid on the amount owed.
P represents the principal or initial amount owed.
R represents interest rate
T represents the duration for which the amount was owed in years.
P = $795
R = 16.25
T = 3 years
I = (795 × 16.25 × 3) ÷ 100
I = $388
Total amount that he would have paid after 3 years is $795 + $388 = $1183
The total amount that he would have paid after three years would be $1183.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
The given data as per the question
P = $795
R = 16.25
T = 3 years
Simple interest = P × R × T
Substitute the values,
Simple interest = (795 × 16.25 / 100 × 3)
Simple interest = (795 × 0.1625 × 3)
Simple interest = $388
The total payback amount : $795 + $388 = $1183
Therefore, the total amount that he would have paid after three years is $1183.
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