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3 votes
Solve for x. The polygons in each pair are similar. Please helpppp

Solve for x. The polygons in each pair are similar. Please helpppp-example-1

2 Answers

6 votes
You'd set it up like this:

5x+11/18 = 88/24

Then cross multiply



answered
User Elliot Vargas
by
8.9k points
0 votes

The value of x is 72.

The triangles in the image are similar, which means that they have the same proportions of side lengths. We can use this information to solve for the missing side length, x.

To do this, we can set up a proportion between the corresponding sides of the two triangles. For example, we can set up the following proportion:


(5x+11)/(24) = (18)/(88)

This proportion states that the ratio of the side length 5x+11 to the side length 24 is equal to the ratio of the side length 18 to the side length 88.

We can then cross-multiply to solve for x.


(5x+11) * 88 = 24 * 18


5x * 88 + 11 * 88 = 432


5x * 88 = 432 - 11 * 88

5x = 360

x =
(360)/(5)

x = 72

answered
User Blazerg
by
8.4k points

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