Answer:
The Answer is: 63°
Step-by-step explanation:
The angle 117° is the key information. Across the line, the angle 117° is part of the 180° across the line. Angle RMN is equal to 180° - 117° = 63°
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.
<h3>
Answer: 5 cakes</h3>
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Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
Do the same for the other mixed number 2 & 1/3.
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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
The last step is to convert that result to a mixed number.
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
The length of the pool table is 4 and the width of the table is 8.
W=4
L=8
W times L=32 or 4 times 8=32
Answer:
f(x)=(2x-7)^7(x+3)^4
When y=0, (2x-7)^7=0 and x=3.5 OR
(x+3)^4=0, and x=-3
Look at x=h or f(2)
That is 96-56-44+2 and it is not equal to 0. (x-2) is not a factor.
x^3-5x^2+6x-30
after trying 1,2, and 3, I tried 5
5/1===-5===6===-30
==1===0====6====30
(x^2-6) with no remainder
the factors are (x-5)(x^2+6)
the zeroes are 5, +/- i sqrt (6). Only one real 0.
hope this helps let me know in the comments if i'm wrong
