Question

Given that the triangles shown below are similar, what is the value of x?

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H
48
40
16
20

Answer 1

Since the triangles are similar, their corresponding sides are in proportion.

We can set up the following proportion:

48 / 20 = (x + 16) / 16

We can then solve for x by cross-multiplying and simplifying:

48 * 16 = 20 * (x + 16)

768 = 20x + 320

448 = 20x

x = 22.4

Therefore, the value of x is 22.4.