Answer:
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