Answer:
[tex]x = 22.5[/tex]
Explanation:
Given Sides:
- HB = 6
- HD = 6+15 = 21
- HM = 9
- HT = 9 + x
-----------------------------
using all these sides, create similarities equation:
[tex]\frac{HB}{HD} = \frac{HM}{HT}[/tex]
[tex]\frac{6}{21} = \frac{9}{9+x}[/tex]
[tex]6(9+x) = 9(21)[/tex]
[tex]54 + 6x = 189[/tex]
[tex]6x = 189 - 54[/tex]
[tex]6x = 135[/tex]
[tex]x = \frac{135}{6}[/tex]
[tex]x = 22.5[/tex]
