Kaylajanae6951 Kaylajanae6951
  • 22-03-2021
  • Mathematics
contestada

Triangle PQR is similar to triangle KLM. What is the value of x in inches?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 27-03-2021

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]

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