1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastova [34]
2 years ago
7

Are the polygons similar? If they are, write a similarity statement. The figures are not drawn to scale.

Mathematics
1 answer:
Marina CMI [18]2 years ago
8 0

Based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

<h3>What are Similar Polygons?</h3>

Similar Polygons have different size but the same shape, and as such, the ratio of their corresponding side lengths are equal, while their corresponding angles are congruent.

Based on the SAS similarity theorem, two triangles are similar to each other if they have two pairs of corresponding sides that are proportional and an included pair of angles that are congruent.

In ΔSTV and ΔPQR:

m∠S ≅ m∠P = 86° (one pair of included congruent angles)

ST/PQ = SV/PR = 0.67 (proportional sides).

Therefore, based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

Learn more about similar polygons on:

brainly.com/question/2264759

You might be interested in
Help help I don’t really get this???
insens350 [35]

Answer:

Question 4:  y=\displaystyle -\frac{4}{5}x

Question 5: y=-5x-3

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

<u>Question 4</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

\displaystyle m=\frac{y_2-y_1}{x_2-x_1} where two points that pass through the line are (x_1,y_1) and (x_2,y_2)

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}

Therefore, the slope of the line is \displaystyle -\frac{4}{5}. Plug this into y=mx+b as the slope (<em>m</em>):

y=\displaystyle -\frac{4}{5}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (<em>b</em>) is 0. Plug this into y=\displaystyle -\frac{4}{5}x+b:

y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x

<u>Question 5</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5

Therefore, the slope is -5. Plug this into y=mx+b:

y=-5x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (<em>b</em>) is -3. Plug this into y=-5x+b:

y=-5x+(-3)\\y=-5x-3

I hope this helps!

8 0
2 years ago
Sarah's Shipping and Ryan's Mail Services both ship packages. Sarah's trucks
algol [13]

Answer:I think 11

Step-by-step explanation: 11 because one can do no more than 11 packages so the most potential one most be 11 since it can't do 18 but the 18 can do 11 and the max of the other one is 11

8 0
3 years ago
Have students write an explanation of how to find the slope of a line given the points A(1, 5) and B(−7, 8), also give me the an
Grace [21]

Answer:

3/-8

Step-by-step explanation:

Slope= y2-y2/x2-x1

substitute in: 8-5/-7-1= 3/-8

4 0
2 years ago
1.Which of the following is equivalent to 0.00648
kolbaska11 [484]

Answer:

qd5g

Step-by-step explanation:

8 0
2 years ago
What is the height of the pole?<br> top<br> O 12 ft<br> O 125 ft<br> O 18 ft<br> O 182 ft
Fiesta28 [93]
The Answer is A

Hope this helps
3 0
3 years ago
Other questions:
  • Ten tiles numbered 1 through 10 are placed in a bag. You randomly choose one tile. Without replacing the first tile, you randoml
    5·1 answer
  • X⁴+5x²-6=0 solve for x
    11·1 answer
  • 11+3(9-6)-4=<br> Please do it step by step.
    6·2 answers
  • Solve the following system of equations by using the substitution method.
    6·2 answers
  • You cannot remember your 4-digit bike-lock combination. What is the probability that you guess the combination correctly? (Enter
    8·1 answer
  • Find the value of 8.3 × 24.2 × 0.03. Round your answer to the nearest hundredth.
    15·1 answer
  • interest rate on a credit card is 15% if we charge $200 to the card, how much will we pay including the interest
    8·1 answer
  • Use the clues below to determine a value for point C. Write your answer in the space provided and explain why your answer is cor
    13·1 answer
  • The following dot plot represents a random sample of elementary students and the number of children that live in their home.
    13·1 answer
  • johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the re
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!