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3 years ago

7

Which angles are linear pairs? Check all that apply

1 answer:

dangina [55]3 years ago

8 0

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.

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E is the midpoint of BC. If BE = 50 and CE = 2x + 25, find the value of x.

andrew-mc [135]

Answer:

The value of $x$ is $\frac{25}{2}$ .

Step-by-step explanation:

From Analytical Geometry we get that ratio of BC to BE is:

$\frac{BC}{BE} = 2$ (From definition of midpoint)

$\frac{BE+CE}{BE} = 2$

$1 + \frac{CE}{BE} = 2$

$\frac{CE}{BE} = 1$

$CE = BE$

If we know that $BE = 50$ and $CE = 2\cdot x + 25$ , then, the equality above is expanded:

$2\cdot x +25 = 50$

$2\cdot x = 25$

$x = \frac{25}{2}$

The value of $x$ is $\frac{25}{2}$ .

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Step-by-step explanation:

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