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coldgirl [10]
2 years ago
14

Angle A and Angle B are vertical angles. If m

Mathematics
1 answer:
damaskus [11]2 years ago
3 0

Answer:

∠B = 17°

Step-by-step explanation:

Vertical angles are congruent, thus

5x + 7 = x + 15 ( subtract x from both sides )

4x + 7 = 15 ( subtract 7 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Hence

∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°

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Answer:

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A cone has a height of 12 millimeters and a radius of 10 millimeters. What is it’s volume. Use 3.14 and round to the nearest hun
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Find the inverse of the function.<br> f(x) = -3x + 7
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F(x) = -3x + 7
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2 years ago
A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?
seraphim [82]

Answer:

P\left(E\right)=\frac{55}{1024}

Step-by-step explanation:

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We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

nCr=\frac{n!}{r!\left(n-r\right)!}

Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

       =\frac{1320}{6}                   ∵ 3!\:=\:3\times 2\times 1=6

       =220

Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

         =\frac{220}{4096}

         =\frac{55}{1024}

Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

4 0
3 years ago
A small diner has one employee and a counter with seating for 8 customers. The diner does not package food for takeout. Customer
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Answer:

12 customers are waiting each hour to enter the diner

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20 customers arrive each hour to the diner. 8 customers ocuppy the seats each hour, and 12 are left waiting outside.

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