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vredina [299]
2 years ago
15

Find the measures of HAB and CAB.

Mathematics
1 answer:
Paha777 [63]2 years ago
4 0

Answer: Angle HAB= 66 and Angle CAB= 44

Step-by-step explanation:

Since angle EAF=90 and FAD=20 then DAH must equal 70 degrees because it is 180 degree angle. Since DAH and EAC are vertical angles they are equal so EAC = DAH= 70 degrees. For the other side of 180 degrees then 70+5x=180

5x=110

x=22

CAB= 2(22)= 44 degrees

HAB= 3(22)=66 degrees

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4 0
3 years ago
Consider a situation in which P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12. What is P(B and C)?
V125BC [204]
ANSWER

P(B \: and \: C) =  \frac{1}{6}


EXPLANATION

Recall that,

P(A \: and \: B)=P(A) \times P(B)

But we were given that,

P(A)= \frac{1}{8}

and

P(A \: and \: B) =  \frac{1}{12}


We substitute these values into the above formula to obtain,


\frac{1}{12} = \frac{1}{8}  \times P(B)



This implies that,

\frac{1}{12}  \times 8=8 \times  \frac{1}{8}  \times P(B)



This simplifies to,

P(B) =  \frac{8}{12}


P(B) =  \frac{2}{3}


So we can now find
P(B \: and \: C).



We use the same formula again,

P(B \: and \: C) = P(B) \times P(C)
We substitute the values to get,


P(B \: and \: C) =  \frac{2}{3}  \times  \frac{1}{4}
We multiply out to get,


P(B \: and \: C) =  \frac{1}{6}


7 0
3 years ago
Read 2 more answers
The balance in Beth's checking account is $75. She must deposit enough money in her account to be able to pay the electric bill,
Evgen [1.6K]
75+d=110  subtract 75 from both sides

d=$35

So she needs to deposit at least $35 to be able to pay the electric bill.
5 0
3 years ago
Read 2 more answers
Find the area of the triangle. Round your answer to the nearest thousandths. <br><br> A=1/2 bh
Over [174]

Answer:

Step-by-step explanation:

height of triangle=√(11²-8.6²)=√(11+8.6)(11-8.6)=√(19.6×2.4)

=√(4×4.9×4×0.6)=4√(4.9×0.6)=4√2.94

area of triangle=1/2 bh=1/2×2×8.6×4√2.94

=34.4×√2.94

≈58.984

5 0
3 years ago
How much compound interest is earned on $24,500 principal, with an annual interest rate of 5% compounded annually, over years? c
Brilliant_brown [7]
It is C. Hope this helps. LOL
4 0
3 years ago
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