Question

Does anyone know how to do this?

Answer 1

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

Answer 2

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6