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.
5 sig figs is the correct answer
Answer:
54
Step-by-step explanation:
Diagonals are perpendicular so
2x+ 90 + 3x = 180 since this forms a triangle
Combine like terms
5x+ 90 = 180
Subtract 90 from each side
5x +90-90 =180-90
5x = 90
Divide each side by 5
5x/5 = 90/5
x =18
We want to find Angle ABD
ABD = 3x = 3*18 = 54
Answer:
y-5=1/3(x-6)
Step-by-step explanation:
SO find the slope first
ANd then just fill out the point slope formula
