The measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. What is the measure of
angle 7 to the nearest degree
1 answer:
Complete question:
CHECK ATTACHMENT FOR THE DIAGRAM.
Answer:
Angle 7 is 76°
Step-by-step explanation:
From the diagram, notice that angle 4 = angle 5
That is,
Δ4 = Δ2
Because vertically opposite angles are equal.
Δ4 = 7x
Δ2 = 126
So
126 = 7x
Divide both sides by 7
x = 126/7 = 18
Again, angle 5 = angle 7
Δ5 = Δ7
Because vertically opposite angles are equal.
Since Δ5 = (4x + 4)°
And x = 18
Then
Δ7 = 4(18) + 4 = 72 + 4 = 76°
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Answer:
141
Step-by-step explanation:
1. The volume of a cylinder is , where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.
Solving Volume
Step 1: Plug in values
Step 2: Simplify.
- 141.3 ≈ 141
Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).
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