We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Where’s the picture of the angle?
Answer:
5,874,589,152,000 mi.
Step-by-step explanation:
Answer:
322.28
A
Step-by-step explanation:
Area of the rectangle
L = 30
W = 21
Area = 30 * 21
Area = 630
Area of the circles
Radius = 7 m
Area = pi r^2
Area = 3.14 * 7^2
Area = 153.86 m^2
Area of both circles = 307.72
Area of the Shaded Region
Area of shaded region = area of the rectangle - area of 2 circles.
Area of Shaded Region = 630 - 307.72
Area of Shaded Region = 322.28
220 degrees = 3.83972
to convert degrees to radians, multiply by <span>π<span>180°</span></span>, since a full circle is <span>360°</span> or <span>2π</span> radians.<span>220°⋅<span>π<span>180°</span></span></span> radians Cancel the common factor of 20 <span><span>111</span>⋅<span>π9</span></span> radians Multiply <span>111</span>and <span>π9</span> to get <span><span>11π</span>9<span>11π</span>9</span><span> radians
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</span><span>I hope this helps.</span>
