If abcd is an isosceles trapezoid, what is the value of x?
ac = 5x - 25
bd = 3x + 11

The value of x is 18.

Step-by-step explanation:

Given : If ABCD is an isosceles trapezoid. AC = 5x - 25  and BD = 3x + 11

To find : What is the value of x?

Solution :

ABCD is isosceles trapezoid.

An isosceles trapezoid has a pair of parallel sides.

∴  AB∥CD

Its non parallel sides are equal.

∴  AD=BC

Diagonals of an isosceles trapezoid are equal.

⇒  AC=BD

Substituting the value,

Therefore, the value of x is 18.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

a) 7x=7

step-by-step explanation: