Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x
Since both shapes are similar, then:
[tex]LM : KN = RV : SP[/tex]
This gives:
[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]
As fraction:
[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]
Simplify:
[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]
Cross Multiply:
[tex]5(4x + 4) = 4(7x - 9)[/tex]
[tex]20x + 20 = 28x - 36[/tex]
Collect Like Terms
[tex]28x - 20x = 20 + 36[/tex]
[tex]8x = 56[/tex]
[tex]x = 7[/tex]
