Question

What is the value of x? Enter your answer as a decimal in the box.

Answer 1

Answer:

$x = 22.5$

Explanation:

Given Sides:

• HB = 6
• HD = 6+15 = 21
• HM = 9
• HT = 9 + x

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using all these sides, create similarities equation:

$\frac{HB}{HD} = \frac{HM}{HT}$

$\frac{6}{21} = \frac{9}{9+x}$

$6(9+x) = 9(21)$

$54 + 6x = 189$

$6x = 189 - 54$

$6x = 135$

$x = \frac{135}{6}$

$x = 22.5$