Suppose that angle lap and angle lar are adjacent angles, angle lap= 3x +7, angle lar = 4(x-4), and angle par = 2(3x+7). what can you conclude about line al?

m<LAP = m<LAR, this means that the line AL bisects m<PAR

Find the diagram given,

The following expression is true;

Get the measure of m<LAR

m<LAR = 4x - 16

m<LAR = 4(23)-16

m<LAR=92-16

m<LAR= 76

Get the measure of m<LAP

m<LAP = 3x + 7

m<LAP = 3(23)+7

m<LAP=69+7

m<LAP=76

Since m<LAP = m<LAR, this means that the line AL bisects m<PAR

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AL is a bisector

Step-by-step explanation:

LAP = 3x+ 7

LAR = 4(x - 4) = 4x - 16

PAR = 2(3x + 7) = 6x + 14

If you see the figure I drew (something you should infer from the problem.

LAP + LAR = PAR

3x + 7 + 4x - 16 = 6x + 14

3x + 4x - 6x = 14 + 16 - 7

x = 23

LAP = 3 * 23 + 7 = 76

LAR = 4 * 23 - 16 = 76

Meaning line AL is dividing PAR into 2 equal parts

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!