Question

What is the value of x?
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Answer 1

x = 7

Explanation:

You want the value of x in the diagram of similar triangles.

Proportion

Corresponding side segments in the figure are proportional:

(2x +10)/(3) = (40)/(5)

2x +10 = 3·8 . . . . . . . . . . multiply by 3

2x = 14 . . . . . . . . . . . subtract 10

x = 7 . . . . . . . . . . divide by 2

The value of x is 7.