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zepelin [54]
3 years ago
10

Two remote interior angles of a triangle measure 37° and 62°. What is the measure of the exterior angle associated with the remo

te interior angles?
A
The exterior angle measures 81˚.
B
The exterior angle measures 99˚.
C
The exterior angle measures 62˚.
D
The exterior angle measures 180˚.
Mathematics
1 answer:
igomit [66]3 years ago
4 0

The measure of the exterior angle is equal to the sum of the remote interior angles. Overall the sum of all the angles of a triangle is 180 degrees.

As given in the question,

Two remote interior angles measure = 37+62=99

Hence, the exterior angle will be 99°

Option B  is correct- The exterior angle measures 99˚.

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The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviati
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Answer:

Their welders earn $50,000 annually.

Step-by-step explanation:

Given : \mu = 50,000

           \sigma = 2000

           n = 100

          \bar{x}=50350

To Find : The ship building association wishes to find out whether their welders earn more or less than $50,000 annually.

Solution :

H_0:\mu = 50000\\H_a: \mu \neq 50000

n = 100

Since n > 30

So we will use z test

z= \frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

Substitute the values

z= \frac{50350-50000}{\frac{2000}{\sqrt{100}}}

z=1.75

Refer the z table for p value

p value = 0.9599

α= 0.05

Since p value > α

So we accept the null hypothesis .

Hence  their welders earn $50,000 annually.

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3 years ago
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iogann1982 [59]

Answer:

Step-by-step explanation:

f(3)=-5(x+5)

     =5(3) +5

     =15+5

f(3)      =20

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Dovator [93]

Answer:

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Step-by-step explanation:

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Isabella flew 5 miles per minute!
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mart [117]

Answer:

Jenny cycles the grand distance of 29 and one third of a mile.

Step-by-step explanation:

I want to answer this using fractions and without multiplying by an awkward recurring decimal.

Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes

To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.

22 x (4/3) = 88/3

Jenny will travel 88/3 miles in 2 hours.

Not happy with top heavy fractions?

Let's round up 88/3 to 90/3 by adding 2/3.

90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.

Jenny cycles the grand distance of 29 and one third of a mile.

I think that is the correct answer.

6 0
3 years ago
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