Answer:

Step-by-step explanation:
8x + 34 = 130 <u>(Vertical Angles are Equal)</u>
Subtract 34 to both sides
8x = 130 - 34
8x = 96
Divide both sides by 8
x = 96 / 8
x = 12
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
axc is 90 degrees. hope that helps
Step-by-step explanation:
7/10 - 1/2 = 7/10 - 5/10 = 2/10
Answer:
x = 43 1/3 degrees
Step-by-step explanation:
sum of interior angles in a triangle = 180 degrees
30 + (3x - 9) + 29 = 180
30 + 29 + (3x - 9) = 180
59 + (3x - 9) = 180
(3x - 9) = 180 - 59
(3x - 9) = 121
3x = 121 + 9
3x = 130
x = 43 1/3
Answer:
AB = 83
Step-by-step explanation:
The mid-point of any segment divides the segment into two equal parts
∵ B is the midpoint of segment AC
→ That means B divides AC into two equal segments AB and BC
∴ AB = BC
∵ AB = 12x + 11
∵ BC = 14x - 1
→ Equate them
∴ 14x - 1 = 12x + 11
→ Subtract 12x from both sides
∵ 14x - 12x - 1 = 12x - 12x + 11
∴ 2x - 1 = 11
→ Add 1 to both sides
∵ 2x - 1 + 1 = 11 + 1
∴ 2x = 12
→ Divide both sides by 2
∵ 
∴ x = 6
→ To find AB substitute x by 6 in its expression
∵ ab = 12x + 11
∵ x = 6
∴ AB = 12(6) + 11
∴ AB = 72 + 11
∴ AB = 83