Answer:
x = 18 , y = 45
Step-by-step explanation:
The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.
Same- side interior angles sum to 180° , then
6x + 7 + 4x - 7 = 180 , that is
10x = 180 ( divide both sides by 10 )
x = 18
Then
6x + 7 = 6(18) + 7 = 108 + 7 = 115
6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so
3y - 20 = 115 ( add 20 to both sides )
3y = 135 ( divide both sides by 3 )
y = 45
No. Angles don’t correspond to one another.
Therefore, they are not congruent
Answer:
arc ABC = 196°
arc DC = 360 - 196 - 70 = 94° (which looks out of proportion, but so does angle D)
Step-by-step explanation:
arc ABC = 2(∠D) = 2(98°) = 196°
4(x + 12) ≤ 16
4(x) + 4(12) ≤ 16
4x + 48 ≤ 16
- 48 - 48
4x ≤ 32
4 4
x ≤ 8
Solution Set: (8, ∞)
