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4 years ago

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

Mathematics

1 answer:

Elodia [21]4 years ago

7 0

Answer:

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:

$x^2+20.2^2=(14.7+x)^2$ 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

$x\approx6.5\ cm$

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$\displaystyle \frac{3t}{3} < \frac{7}{3} \:OR\: \frac{-4t}{-4} < \frac{-4}{-4} \\ \\ t < 2\frac{1}{3} \:OR\: t >1$

**Whenever you divide\multiply by a negative integer, you reverse the inequality symbol given to you initially.

Extended Information on Inequalities

≤, ≥ [dark circle with a dark line (brackets when writing in Interval Notation)]

<, > [light circle with a dashed line (parentheses when writing in Interval Notation)]

I am delighted to assist you at any time.

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