3 years ago

GEOMETRY: What is a vertical angle?

Mathematics

2 answers:

Zigmanuir [339]3 years ago

7 0

Pairs of angles made by intersecting lines.

andre [41]3 years ago

6 0

A vertical angle looks like this.

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Point m is the midpoint of ab¯¯¯¯¯ . am=2x+9, and ab=8x−50. what is the length of am¯¯¯¯¯¯ ?

iogann1982 [59]

Since m is the midpoint of ab, then the following relationship is fulfilled:
$am = \frac{ab}{2}$
Therefore, substituting values we have:
$2x+9 = \frac{8x-50}{2}$
From here, we clear the value of x.
We have then:
$2x+9 = 4x-25$
$9+25 = 4x-2x$
$34 = 2x$
$x = \frac{34}{2}$
$x = 17$
Then, the value of am, is given by substituting x in the expression:
$am=2x+9$
Substituting we have:
$am=2(17)+9$
$am=34+9$
$am=43$
Answer:
the length of am is:
$am=43$

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