Point I is on line segment H J ‾ HJ . Given H I = 2 x , HI=2x, H J = 4 x , HJ=4x, and I J = 4 x − 10 , IJ=4x−10, determine the numerical length of I J ‾ . IJ .

Step-by-step explanation:

If point I is on the line segment HJ, then HI+IJ = HJ

Given the parameters

H I = 2 x

H J = 4 x

IJ=4x−10

Substituting the given parameters into the formula;

2x+4x-10 = 4x

6x-10 = 4x

collect like terms

6x-4x = 10

2x = 10

divide both sides b 2;

2x/2 = 10/2

x = 5

Since IJ = 4x-10

Substitute x = 5 into IJ

IJ = 4(5)-10

IJ = 20-10

IJ = 10

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