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 Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.
<A=<B.
Measure of <A=x and <B=5x-80
Or 5x-80=x
Adding 80 both sides
5x-80+80=x+80
5x=x+80
Subtracting x both sides
5x-x=x-x+80
4x=80
Dividing both sides by 4
x=20
Measure of <A= x= 20 degrees.
Answer:
the correct answer would be 5
Step-by-step explanation:
when c=7, then we put that value in for c in the equation c-2
c-2
(7)-2
5
Answer: 4.12032 which is also equivalent to 4:12
Answer:
13.7 ft^2
Step-by-step explanation:
1. Find the radius of the semicircle by dividing the diameter by 2 to get 1.8
2. Find the area of the semicircle. Do this by substituting the equation to find the area of a semicircle with the numbers given and solving. 3.14(1.8^2)/2 = 5.0868
3. Find the area of the triangle. Do this by substituting the equation to find the area of a semicircle with the numbers given and solving. 1/2(3.6*4.8) = 8.64
4. Add both your numbers together to get 13.7268
5. Round to the nearest 10th to get 13.7 ft^2
