Given the figure below find the value of x and d

x = 2

z = 118

Step-by-step explanation:

The angle with a measure of 118° and the angle labeled "x" are vertical angles

As we know, vertical angles are congruent

Thus, because x's vertical angle equals 118° x also equals 118°

The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles

Supplementary angles add up to equal 180

Thus, 12x + 38 + 118 = 180

                         ^Note that this is the equation we will use to solve for x

12x + 38 + 118 = 180

step 1 combine like terms

118 + 38 = 156

we now have 12x + 156 = 180

step 2 subtract 156 from each side

156 - 156 cancels out

180 - 156 = 24

we now have 24 = 12x

step 3 divide each side by 12

12x / 12 = x

24 / 12 = 2

we're left with x = 2

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

is there a picture

step-by-step explanation: