Because of the vertical angles and alternate interior angles we know these are similar triangles. Use what you know about proportional sides to solve for the unknown side ,x

x = 20

Step-by-step explanation:

Length 6 corresponds to length 15

Length 8 corresponds to length x

15 ÷ 6 = 2.5

8 • 2.5 = 20

x = 20

2.5 is the scale factor of the small triangle to the big triangle.

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+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x