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boyakko [2]
3 years ago
15

abcd is an isosceles trapezoid with legs ab and cd and base bc if the length of ab =-3y+54 the leingth of bc =5y+2 and the leing

th of cd is 6y+9 find the value of y
Mathematics
1 answer:
Vilka [71]3 years ago
8 0

ANSWER

y = 5

EXPLANATION

The given isosceles tra-pezoid has legs

ab =  - 3y + 54

and

cd = 6y + 9

The base is bc=5y+2.

The length of the legs of the isosceles tra-pezoid are equal.

This implies that,

ab = cd

Thus,

- 3y + 54 = 6y + 9

Group similar terms,

54 - 9 = 6y + 3y

45 = 9y

Divide both sides by 9.

y =  \frac{45}{9}

y = 5

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