What is the value of x? Round to the nearest tenth. Please Help

Question

asked May 26, 2020 166k views

1 Answer

Mvb · Answer 1 · 2020-05-29T19:08:52+0000

Answer:

Explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

$leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm$

Substitute:

x^2+20.2^2=(14.7+x)^2 use (a + b)² = a² + 2ab + b²

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2 subtract x² from both sides

408.04=216.09+29.4x subtract 216.09 from both sides

191.95=29.4x divide both sides by 29.4

$x\approx6.5\ cm$