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Alex
3 years ago
15

If one of the angles of a triangle is 130 degree then the angle between the bisectors of the other two angles can be

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer: D) 155

Step-by-step explanation:

let <A, <B,<C are three angles in a triangle.

sum of the three angles in a triangle is 180degree.

<A+<B+<C=180

130+<B+<C=180 since one angle is given

<B+<C =180-130

<B+<C=50

(<B+<C)/2=25----(1)after bisecting sum of the angles

required angle =180-25=155

d is correct answer

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Bill is 15 years older than Paul. Paul is 7 years older than half Milo's age. The sum of all three ages is 85. How old is Bill?
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Answer:

Step-by-step explanation:

Let Milo's age = x

Paul's \ age =\dfrac{1}{2}x+7\\\\\\Bill's \ age = \dfrac{1}{2}x + 7  +15 =\dfrac{1}{2}x+22

Sum of all three ages = 85

x +\dfrac{1}{2}x+7 +\dfrac{1}{2}x+22 = 85\\x +\dfrac{1}{2}x+\dfrac{1}{2}x+7+22 =85\\2x+29=85\\     2x  = 85-29\\\\     2x  = 56\\\\      x = \dfrac{56}{2}\\\\x =28 \ years\\\\\\Bill's \  age =\dfrac{1}{2}x+22 =\dfrac{1}{2}*28+22\\\\\\= 14+22\\

Bill's age = 36 years

6 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9:8. What are the dimensions of the rectangle?
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3 years ago
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If 112 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $and total receipts for the con
Brut [27]

Answer:

42 child and 70 adult

Step-by-step explanation:

Let a = number of adult tickets

c = number of child tickets

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Solve the first equation for a

a = 112-c

Substitute this into the second equation

2.25(112-c) + 1.75c = 231

Distribute

252 - 2.25c +1.75c = 231

Combine like terms

252 -.5c = 231

Subtract 252 from each side

252-252 -.5c = 231-252

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Divide each side by -.5

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Now can find a

a = 112-c

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4 0
3 years ago
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Statistics show that a certain soccer player has a 63% chance of missing the goal each time he shoots. If this player shoots twi
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Answer:

<em>The probability of scoring two goals in both times is</em><em> 0.137 or 13.7%</em>

Step-by-step explanation:

Statistics show that a certain soccer player has a 63% chance of missing the goal each time he shoots.

So P(A)=0.63

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The probability of scoring two goals in both times is,

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