Solve. Simplify the answer.
-Find the length of the section represented by x in the figure.

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, we can find that the length of the hypotenuse of the right triangle is $\sqrt{9^2 + 12^2} = 15$. Then, using similar triangles, we can set up the proportion $\frac{6}{9} = \frac{x}{15}$ to solve for x. Simplifying, we get $x = 10$. Therefore, the answer is C. The given figure represents a right triangle with legs of length 5 and 12, and x is the length of the hypotenuse. Using the Pythagorean theorem, we have:

x^2 = 5^2 + 12^2
x^2 = 169
x = 13

Therefore, the length of the section represented by x is 13. Choice C matches this result.

Solve. Simplify the Answer