Answer:
<7 = 47, 2x - 5 + 47 = 180, x = 69
Step-by-step explanation:
<5 and <7 are vertical angles, which means that they have the same degree.
<7 + <6 = 180. <6 = 2x - 5. 2x - 5 + 47 = 180.
Solve
2x - 5 + 47 = 180
2x + 42 = 180
2x = 138
x = 69
Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2
r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
= 22/7
⇒ 22 = 2 x (22/7) x r
⇒ r = 3.5
So the radius of the inner circle is 3.5 ft
<u>Radius of outer circle</u>
If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5
<u>Circumference of outer circle</u>
Therefore, circumference of outer circle:
= 2 x (22/7) x 5.5
= 242/7 ft
<u>Difference between circumferences</u>
Difference = outer circle circumference - inner circle circumference
= 242/7 - 22
= 88/7 ft
= 12.6 ft (nearest tenth)
Answer is -10
Step by step exploration
7x=-70
x=-70/7
x=-10
Answer:
z = 96; x = 8.
Step-by-step explanation:
z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.
The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.
5x + 44 + 96 = 180
5x + 140 = 180
5x = 40
x = 8
Hope this helps!
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