The polygon's are similar. Find the values of x and y.

Mathematics

2 answers:

Sati [7]3 years ago

8 0

X= 6 y=21
answer ^^^^^

cestrela7 [59]3 years ago

5 0

Answer:

x = 9 y = 27

Step-by-step explanation:

Since the two polygons are similar, we know that they are proportionate to each other. If we divide the values of corresponding sides:

16 ÷ 12 = 1 ¹/₃

32 ÷ 24 = 1 ¹/₃

We now know that the figure on the left is 1 ¹/₃ times the figure on the right. With this information, we can figure out the measurements of the two sides and then find the values of x and y.

6 · 1 ¹/₃ = 8

21 · 1 ¹/₃ = 28

Now that we know the values of each side, we can plug our equations in to find the values of x and y.

x - 1 = 8

x = 9

y + 1 = 28

y = 27

~Hope this helps!~

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3 years ago

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erik [133]

Answer:

A. 36

Step-by-step explanation:

Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other

if the area of a triangle is hb/2,

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the height of the first triangle is:

25 = 10h/2

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you can write ratios representing the proportions of the two triangles:

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2 years ago

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Artyom0805 [142]

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