Question

Can someone please help? It’s for extra credit and i rlly need it. The blank will not have an ‘a’ in it and you can get x to be less than a number.

Answer 1

8<x<33/2

Explanation:

A+B+C=180 ==> all three angles of a triangle=180 degrees

Let's say A=2x+1, B=3x-7. Solve for C:

2x+1 + 3x-7 + C=180

2x+3x+1-7+C=180 ==> join like terms

5x-6+C=180

5(8)-6+C=180 ==> substitute 8 for x

40-6+C=180 ==> simplify

34+C=180

34-34+C=180-34

C=146

5x+C=186

5x-5x+C=186-5x

C=186-5x

a+3x-7=180 ==> these two angles from a straight line (A is separate from a)

2x+1 + 3x-7 + C=180

a+3x-7=2x+1 + 3x-7 + C

a=2x+1 + C ==> subtract 3x-7 from both sides

a=2x+1 + 146 ==> substitute 146 for C

a=2x+147

a<180 ==> a can't be 180 degrees since a equals 180 minus an angle(C).

2x+147<180

2x+147-147<180-147

2x<33

2x/2<33/2

8<x<33/2