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I NEED HELP I CANT FIGURE THIS OUT

I NEED HELP I CANT FIGURE THIS OUT-example-1
User Samtregar
by
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1 Answer

5 votes

Answer:

B

Explanation:

Hi there!

We are given line segment DG, which equals 10.

Point O belongs to DG, which splits DG into DO and OG, which are parts of the line segment.

DO=x+1, and OG=2x-15

We want to find the value of x

There is a postulate in Geometry called the Parts Whole Postulate, which states that a whole is equal to the sum of its parts. In other words, DO + OG = DG

Now we can substitute x+1 as DO, 2x-15 as OG, and 10 as DG.

x+1+2x-15=10

Combine like terms.

3x-14=10

Add 14 to both sides

3x=24

x=8

The answer is B

Hope this helps!

User Hiren Vaghasiya
by
6.4k points