Question

Solve for value and variable. Be sure to write a proportion

Please give full explanation that would be helpful.

Answer 1

Explanation:

Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.

`\sf (LP)/(PN)=(LO)/(OM)\\\\(x+12)/(5)=(22)/(8)\\\\\text{cross multiply,}\\\\`

8*(x + 12) = 22*5

8x + 8*12 = 110

8x + 96 = 110

8x = 110 - 96

8x = 14

x = 14/8

x = 1.75