Algebra: find the value of each variable

Hey, I'm not too quite sure about my answers, but I figured I'd give it a shot.

Let me show you what I did to get my answers.

1. Those little ticks on the triangles means that they're equal. A triangle has a sum of 180 so I took:

2x+2x+40=180

4x+40=180

4x=140

x=35

2. The curves on the sides means that they're also equal so I did:

2x+6=3x-6

2x=3x-12

-x=-12

x=12

4. This is similar to #1. Keep in mind that a right angle has a degree of 90.

5x+5x+90=180

10x+90=180

10x=90

x=9

5. Repeat.

6x+6+6x+6+2x=180

14x+12=180

14x=168

x=12

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

what was there favorite food