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Yakvenalex [24]
3 years ago
11

Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x.

Mathematics
1 answer:
Furkat [3]3 years ago
6 0
In parallelogram ABCD, opposite sides are congruent, it means 
AB = CD
BC = AD
So, 3y – 6 = <span>2y + 4 ........1
and </span>5x – 8 = <span>4x –1...........2
now we can find the value of x and y from expression 1 and 2, 
</span>3y – 6 = 2y + 4
3y-2y = 4+6
y = 10
5x – 8 = 4x –1
5x-4x = -1+8
x = 7
Thus, the value of x is 7, option A is the correct.

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Sladkaya [172]

<u><em>Answers:</em></u>

AD = 10 units

BD = 12 units

<u><em>Explanation:</em></u>

<u>1- getting AD:</u>

In an isosceles triangle, the two non-parallel sides are equal.

It is given that trapezium ABCD is isosceles which means that AD = BC

<u>We are given that:</u>

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AD = BC = 10 units

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