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maxonik [38]
3 years ago
6

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

Mathematics
1 answer:
Elodia [21]3 years ago
7 0

Answer:

<h2>x = 6.5 cm</h2>

Step-by-step 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           <em>use (a + b)² = a² + 2ab + b²</em>

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2          <em>subtract x² from both sides</em>

408.04=216.09+29.4x        <em>subtract 216.09 from both sides</em>

191.95=29.4x         <em>divide both sides by 29.4</em>

x\approx6.5\ cm

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