Angle A and angle B are supplementary angles. If m angle A = (2x + 26)° and m angle B = (x + 25)°, then find the measure of angle B.

x=43

m angle B = 68°

Step-by-step explanation:

Since they are supplementary, they add up to 180°

(2x+26) + (x+25) = 180

add like terms together

3x+26+25=180

simplify the left side

3x+51=180

subtract 51 from both sides

3x=129

divide both sides by 3

x=43

Then you plug in x into measure B

(43)+25

68

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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1