Answer: 6) x= 17 Same side interior angles sum to 180.
7) x= 3 Alternate exterior angles are equal.
8) x= 35 Corresponding angles are equal.
9) x= 12 Alternate interior angles are equal
Step-by-step explanation:
6) x= Same side interior angles sum to 180.
53+(8x-9)= 180
44+8x= 180
Subtract 44 from both sides
8x= 136
Divide both sides by 8
X = 17
7) x= Alternate exterior angles are equal. 15x+29= 26x-4
Subtract 15x from both sides
29= 11x-4
Add 4 to both sides
33= 11x
Divide both sides by 11
X=3
8) x= Corresponding angles are equal.
4x+7= 6x-63
Subtract 4x from both sides
7 = 2x -63
Add 63 to both sides
70= 2x
Divide both sides by 2
X= 35
9) x= Alternate interior angles are equal
9x+37= 14x-23
Subtract 9 x from both sides
37= 5x -23
Add 23 to both sides
60= 5x
Divide both sides by 5
12=x
Answer:
83.8 cm
Step-by-step explanation:
<span>Seven times a number minus the number is -48.
7x - x = -48
6x = -48
x = -48/6
x = -8
Answer is </span>a. the number is -8
Answer:
see explanation
Step-by-step explanation:
Given
(5y + 6)² = 24 ( take the square root of both sides )
5y + 6 = ± 
= ± 2
( subtract 6 from both sides )
5y = - 6 ± 2 ( divide both sides by 5 )
y = 
and y = 
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
