Step-by-step explanation:
its 40
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Answer:
8 17/18 or 8.945
Step-by-step explanation:
2/2x165/9-55/6x3/3
326/18-165/18
161/18= 8 17/18
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.
The identity property of addition states that a + 0 = a
Your answer is identity property of addition.
Answer: k = 59°
Steps:
180 - 77 = 103
103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59
Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅
