Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
The similar pentagons
Required
Find x
To do this, we make use of any equivalent ratios.
In this case, we use:
[tex]KL : QR = KJ : QP[/tex]
Replace each of the above with the side lengths
[tex]4 : 7.2 = 5 : x[/tex]
Express as fractions
[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]
Cross multiply
[tex]4 * x = 5 * 7.2[/tex]
[tex]4x = 36[/tex]
Divide by 4
[tex]x = 9[/tex]
