DylenL153970 DylenL153970
  • 03-11-2022
  • Mathematics
contestada

Find the value of the variable. (3y + 20) (5y 16) A. 2 B. 18 C.1/2D 4 1/2

Find the value of the variable 3y 20 5y 16 A 2 B 18 C12D 4 12 class=

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YevaJ267651 YevaJ267651
  • 03-11-2022

When two lines intersect, they form two pairs of vertically opposite angles.

Vertically opposite angles are always equal.

So let us equate these two angles and find the value of variable y.

[tex]3y+20=5y-16[/tex]

Combine the like terms together

[tex]\begin{gathered} 3y-5y=-16-20 \\ -2y=-36 \\ 2y=36 \\ y=\frac{36}{2} \\ y=18\degree \end{gathered}[/tex]

Therefore, the value of y is 18

B is the correct answer.

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