Question

What is the value of x?

Enter your answer as a decimal in the box.

Answer 1

`x = 22.5`

Step-by-step 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:

`(HB)/(HD) = (HM)/(HT)`

`(6)/(21) = (9)/(9+x)`

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

`54 + 6x = 189`

`6x = 189 - 54`

`6x = 135`

`x = (135)/(6)`

`x = 22.5`