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Use the image below to answer problems A-C. Show all work.

A. Calculate the value of x.


B. Calculate the value of the line segment of MN.


C. Calculate the value of the line segment of NP.


ANSWER ALL PARTS AND SHOW YOUR WORK!!

Use the image below to answer problems A-C. Show all work. A. Calculate the value-example-1
User Garibay
by
8.8k points

1 Answer

5 votes
QUESTION A

From the diagram, line segment ON is the bisector of angle MOP.

This implies that;

|MN|=|NP|

In terms of x, we have;


7x + 3 = 10x - 9

Group like terms to obtain,


3 + 9 = 10x - 7x

This implies that,


12 = 3x

Divide through by 3 to get,


4 = x

Or


x = 4

QUESTION B

The line segment MN has the expression

7x + 3

But x=4.

This implies that,


MN = 7(4) + 3


MN = 28 + 3


MN = 31 \: units

QUESTION C.

The line segment MP has the length expressed in terms of x as,


MP=10x-9

We substitute x=4 to obtain;



MP=10(4)-9


MP=40-9


MP = 31 \: units
User Pedro Cattori
by
7.8k points
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