Answer:
[tex]\boxed {x = 7}[/tex]
Step-by-step explanation:
[tex]FJ[/tex] and [tex]JH[/tex] is half of the whole measurement of [tex]FH[/tex]. So, to find the value of [tex]x[/tex], you need to write an expression by using those measurements of both [tex]FJ[/tex] and [tex]JH[/tex]. Then, solve for [tex]x[/tex]:
[tex]FJ = 24[/tex]
[tex]JH = 3x - 3[/tex]
[tex]3x - 3 = 24[/tex]
-Solve:
[tex]3x - 3 = 24[/tex]
[tex]3x - 3 + 3 = 24 + 3[/tex]
[tex]3x = 27[/tex]
[tex]\frac{3x}{3} = \frac{27}{3}[/tex]
[tex]\boxed {x = 7}[/tex]
So, the value of [tex]x[/tex] is [tex]7[/tex].
