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.
First, you can add up 4+2 to get 6 because they’re both rates.
Next, divide 18 by 6 and you get 3.
So, it will take three hours for the boys to meet up.
One way to check your answer is to multiply 4x3=12 and 2x3=6 and 12+6 is 18.
Answer:
D. 4/(2/5)
Step-by-step explanation:
For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.
For this one, divide 4 (large) by 2/5 (small).
If simplification is needed you can make 10 pieces.
6(3r^2 - 4r + 7)
18r^2 - 24r + 42
Letter A
In an inverse function, the x-values and y-values switch. So if (a,b) is a point in the f(x) function, then (b,a) is a point in the f^(-1)(x) function.
Switch all x and y-values in the function.
