What is the value of x given that figure adcb
is an isosceles trapezoid?

a: 6
b: 4
c: 1.5
d: 2.4

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

28

step-by-step explanation:

because that's the answer