jaaydeee
jaaydeee jaaydeee
  • 04-01-2021
  • Mathematics
contestada

Solve for x.
15
20
Х
12
X=
Enter the number that belongs in the green box.
= [?]
Enter

Solve for x 15 20 Х 12 X Enter the number that belongs in the green box Enter class=

Respuesta :

absor201
absor201 absor201
  • 04-01-2021

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]

Cross Multiply the expression

[tex]\:20\times x=12\times 15[/tex]

Divide both sides by 20

[tex]\frac{20x }{20}=\frac{180}{20}[/tex]

[tex]x=9[/tex]

Therefore, the value of x = 9

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