kaitlynndirck
kaitlynndirck kaitlynndirck
  • 24-01-2022
  • Mathematics
contestada

Given the diagram below, Philip thinks the value of x is 9, but Mia thinks the value of x is 12. Which student is correct? Justify your answer.

Given the diagram below Philip thinks the value of x is 9 but Mia thinks the value of x is 12 Which student is correct Justify your answer class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-01-2022

Answer:

Mia is correct

Step-by-step explanation:

The outer triangle and the inner triangle are similar ( AA postulate )

Then the ratios of corresponding sides are in proportion

[tex]\frac{2}{2+6} [/tex] = [tex]\frac{3}{x} [/tex] , that is

[tex]\frac{2}{8} [/tex] = [tex]\frac{3}{x} [/tex] ( cross- multiply )

2x = 24 ( divide both sides by 2 )

x = 12

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