15. Examine the figure below. If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?

The coordinate of point C if If C is the midpoint of BD will be (0, 13)

From the given diagram, if C is the midpoint of BD, hence;

BC + CD + BD

Given the following parameters

BC = 2x + 7

CD = x + 10

Since C is the midpoint of BD, hence BC = CD

2x + 7 = x + 10

2x-x = 10 - 7

x = 3

Get the measure of BC:

BC = 2x + 7

BC = 2(3) + 7

BC = 13 = CD

Hence the coordinate of point C will be (0, 13)

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Step-by-step explanation:

Given:

BC = 2x + 7

CD = x + 10

Coordinate of point B = 0

Required:

Coordinate of point C

SOLUTION:

Since C is the midpoint of BD, therefore:

BC = CD

2x + 7 = x + 10 (substitution)

Collect like terms

2x - x = -7 + 10

x = 3

BC = 2x + 7

Plug in the value of x

BC = 2(3) + 7 = 6 + 7

BC = 13

Thus, the coordinate of point C would be a distance of 13 units away from the coordinate of point B.

Since the coordinate of B is 0, 13 units away from 0, would be 13.

Therefore, the coordinate of point C = 13

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