Please answer this HELLLP

x = 10

Step-by-step explanation:

Diagonals of a rhombus bisect each other at a 90° angle, but most importantly (for this problem), they bisect the opposite angles of the rhombus equally.

This means that the two angles, given by the expressions (6x + 12) and (8x - 8), are equal to each other.

Set them equal to each other in an equation and solve for x.

Subtract 6x from both sides.

Add 8 to both sides.

Divide both sides by 2.

The value of 10 for x will make the given parallelogram a rhombus.

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