HELP PLS ASAP

Give an example for a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles

cluponka [151]

Answer:

One way to identify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles.

Step-by-step explanation:

so if I was you I would use that strategy to try to find the pair of the Alternate exterior angles.

so the agles are probably 1 and 7 but i don’t want you to get it wrong so here’s a picture Of an example.

4 0

3 years ago

A triangle has angle measures of 47 degrees and 92 degrees. What is the measure of the third angle?

ludmilkaskok [199]

Answer:

The missing angle is 41 degrees

Step-by-step explanation:

First of all, a triangle is measured at 180 degrees in total

To find the missing measurement for the third angle, add the 47 and 92 degrees together which would equal 139 degrees.

47+92=139 degrees

Next just subtract 139 from 180 to get your answer.

180-139=41 degrees

The answer is 41 degrees

Hope this helps

5 0

2 years ago

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an

Alexxx [7]

Answer:

a. s.e. = 0.338

b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%

c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%

d. The sample mean of 62.75 would represent the 15th percentile

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

s.e. = 0.338

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

p (z = -1.48) = 0.0694

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

The sample mean of 62.75 would represent the 15th percentile

7 0

2 years ago

Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are g

Daniel [21]

9514 1404 393

Answer:

x = 5°

Step-by-step explanation:

The marked angles are "alternate exterior angles," hence congruent.

2x +90° = x +95°

x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides

4 0

2 years ago

18 is what percent of 20?

velikii [3]

divide it

18/20 = 0.9

18 is 90% of 20

5 0

3 years ago

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