Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
Answer:
174 ft²
Step-by-step explanation:
Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.
The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:
6 ft + triangle base + 6 ft = 18 ft
triangle base = 18 ft - 12 ft = 6 ft
Then the area of the triangle is ...
A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²
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Of course, the area of the rectangle is the product of its length and width:
A = LW = (18 ft)(9 ft) = 162 ft²
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The total area of the figure is the sum of these:
area = triangle area + rectangle area
area = 12 ft² +162 ft²
area = 174 ft²
The way is see the problem causes the answer to be 27x<span />
Answer:
Its the first choice.
Step-by-step explanation:
x^2+4x-4 = 8
x^2 + 4x - 4 - 8 = 0
x^2 + 4x - 12 = 0
(x + 6)(x - 2) = 0
x = -6, 2.
Answer:
100
Step-by-step explanation:
Solve for m
2m= 40
Divide both sides 2
m= 20
5(20)= 100
