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lesya692 [45]
3 years ago
7

Solve for X, please give a brief run-over on how you got there.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Answer:

x = 31.5

Step-by-step explanation:

The triangle on the left has 2 congruent sides and is therefore isosceles.

Thus the 2 base angles are congruent with measure

\frac{180-54}{2} = \frac{126}{2} = 63

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

The triangle on the right is also isosceles with base angles of measure x

63° is an external angle of the triangle on the right, thus

x + x = 63

2x = 63 ( divide both sides by 2 )

x = 31.5

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Each day in Bio 18, Derek leaves a stack of paper packets near the entry door for students to obtain. Eighty-one percent of stud
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Answer:

Step-by-step explanation:

This is a binomial probability distribution because there are only 2 possible outcomes. It is either a randomly selected student grabs a packet before being seated or the student sits first before grabbing a packet. The probability of success, p in this scenario would be that a randomly selected student sits first before grabbing a packet. Therefore,

p = 1 - 0.81 = 0.91

n = 9 students

x = number of success = 3

The probability that exactly two students sit first before grabbing a packet, P(x = 2) would be determined from the binomial probability distribution calculator. Therefore,

P(x = 2) = 0.297

5 0
3 years ago
Nacy has 8 pieces of string that are exactly the same length
Taya2010 [7]

Answer:

Well there you go she has 8 pieces of string wit the same length

Step-by-step explanation: If they the same length then they the same length all you have to do is read

3 0
3 years ago
If profit is p% and cost price is C.P what will be the selling price?​
harkovskaia [24]

Answer:

SP = (1+P/100)CP.

Step-by-step explanation:

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Cp is our cost price.

We know,

Selling Price - Cost price = Profit = Profit * Cost Price

So,

SP = (1+P/100)CP.

7 0
2 years ago
Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.
defon
1. By the Law of Sines, you have:

 SinA/a=SinB/b=SinC/c

  2. You don't need the fraction SinC/c, so you can eliminate it. Then:

 SinA/a=SinB/b

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 B=m∠b
 b=13

 3. When you substitute this values into SinA/a=SinB/b, you obtain:

 SinA/a=SinB/b
 Sin(40°)/19=SinB/13
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 m∠b=SinB^-1(13xSin(40°)/19)
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6 0
3 years ago
Sophie's pool table is 5' wide and 8' long. Sophie wants to replace the felt on the pool table. The felt cost $5 per square foot
attashe74 [19]

Answer:

45$

Step-by-step explanation:

5 0
3 years ago
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