codejaredxj codejaredxj

15-01-2021
Mathematics

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EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.

EFGH is an isosceles trapezoid If EG3y19 and FH11y21 find the value of y class=

Respuesta :

akposevictor akposevictor

20-01-2021

Answer:

y = 5

Step-by-step explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5

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