Answer:
Step-by-step explanation:
<u>The interior and exterior angles are supplementary:</u>
- A + 108° = 180°
- A = 180° - 108°
- A = 72°
Answer:
8(n + 1)
30(t + 1)
56(v + 1)
Step-by-step explanation:
(4n + 4)(2)
4(n + 1)(2)
8(n + 1)
(10t + 10)(3)
10(t + 1)(3)
30(t + 1)
(7v + 7)(8)
7(v + 1)(8)
56(v + 1)
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
M is the slope.
B is the y-intercept
The constant of proportionality is the ratio between two directly proportional quantities.
