Answer:
[tex]x = 168[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To solve for x, we make use of the following equivalent ratios
[tex]LM : KM = QR : PR[/tex]
This gives:
[tex]35 : x = 15 : 72[/tex]
Convert to fraction
[tex]\frac{x}{35} = \frac{72}{15}[/tex]
Make x the subject
[tex]x = \frac{72}{15} * 35[/tex]
[tex]x = \frac{72* 35}{15}[/tex]
[tex]x = \frac{2520}{15}[/tex]
[tex]x = 168[/tex]