Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre
ated by the intersecting lines? Explain. (PLEASE HURRY ITS TIMED!)
1 answer:
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. Vertical angles are two angles opposite from each other and those two angles are then equal.
Step-by-step explanation:
For example, if you took your typical graph with four quadrants your lines would intersect. The linear pairs are equal to 180 and the vertical angles are equal.
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The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ().
The cube's surface area = =
=
square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = =
=
square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.