charleesiawilsovxce1 charleesiawilsovxce1
  • 16-05-2019
  • Mathematics
contestada

The triangles in the image are similar.
Solve for x.
A) 7
B) 6
C) 10
D) 5

The triangles in the image are similar Solve for x A 7 B 6 C 10 D 5 class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 16-05-2019

ANSWER

A) 7

EXPLANATION

The given triangles are similar

Hence the corresponding sides are in the same proportion.

[tex] \frac{3x + 4}{30} = \frac{30}{36} [/tex]

Simplify the right hand side:

[tex]\frac{3x + 4}{30} = \frac{5}{6}[/tex]

Cross multiply;

6(3x+4)=5×30

Expand

18x+24=180

18x=150-24

18x=126

[tex]x = \frac{126}{18} = 7[/tex]

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