∠A=5x+34 ∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, plus, 34, degrees, end color #11accd \qquad \green{\angle B} = \green{2x +76^\circ}∠B=2x+76
∘

x=10

∠A=96°

Step-by-step explanation:

∠A and ∠B are adjacent angles..

so, ∠A+ ∠B= 180°

5x+34°+2x+76°=180°

7x+110=180°

7x=70°

x=10

∠A= 2x+76= 2x10+76°

= 20°+76°

= 96°

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hope it helps...

have a great day!!

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

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it