Answer:
80°
Step-by-step explanation:
Angle CBD = 100°
Angle ABC = 180° - 100° = 80°
Angles on a straight line add up to 180°.
Angle ABC and angle EFB are corresponding angles, so they are equal.
= 80°
Answer:
Length = 6 inches, Width = 10 inches
Step-by-step explanation:
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Note :
L = Length
W = Width
The perimeter of a rectangle = 2( L + W)
The area of a rectangle = LW.
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.
32 = 2( L + W)
Divide both sides by 2
16 = L + W.... Equation 1
L = 16 - W
Also:
LW = 60....... Equation 2
Let us substitute 16 - W for L in Equation 2
(16 - W)W = 60
16W - W² = 60
W² - 16W + 60 = 0
W² - 6W - 10W + 60 = 0
W(W - 6) - 10(W - 6) = 0
W - 6 = 0, W = 6 inches
W - 10 = 0, W = 10 inches
Solving for L
W = 10
L = 16 - 10
L = 6 inches
Therefore, the dimensions of the shingle =
Length = 6 inches, Width = 10 inches
<span>The area of the square is 25/36 feet.
Area of a square = length * width
Area of a square = 5/6 feet * 5/6 feet
Area of a square = 25/36 feet</span>
Plug in A = 13
Add 1 to both sides:
Divide 2 to both sides:
Find the cube root of both sides:
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