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PSYCHO15rus [73]
2 years ago
12

Explain which theorems definitions or combinations of both can be used to prove that alternate exterior angles are congruent

Mathematics
2 answers:
My name is Ann [436]2 years ago
8 0

Answer:

You can prove that and are congruent using the same method. The converse of this theorem is also true; that is, if two lines and are cut by a transversal so that the alternate exterior angles are congruent.

Step-by-step explanation:


Licemer1 [7]2 years ago
6 0

Answer:

As mentioned in the explanation steps.

Step-by-step explanation:

The following theorem is helpful to prove that the alternate exterior angles are congruent.

If two lines lie in the same plane and parallel to each other. A traversal line intersect these parallel lines at different points, then the alternate exterior angles must be same.

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A video game maker claims that number of glitches in code for their
svet-max [94.6K]

Answer:

The major condition that needs to be satisfied before a t-test is performed that the question satisfies easily is the use of random sampling to obtain sample data.

Step-by-step explanation:

The major conditions necessary to conduct a t-test about a mean include;

- The sample extracted from the population must be extracted using random sampling. That is, the sample must be a random sample of the population.

- The sampling distribution must be normal or approximately normal. This is achievable when the population distribution is normal or approximately normal.

- Each observation in the sample data must have an independent outcome. That is, the outcome/result of each sub-data mustn't depend on one another.

Of the three conditions that need to be satisfied before the conduction of a t-test, the first condition about using a random sampling technique is evidently satisfied.

It is stated in the question that 'A private investigator hired by a competitor takes a random sample of 47 games and tries to determine if there are more than 7 glitches per game'.

Hope this Helps!!!

5 0
2 years ago
A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to
bija089 [108]

Answer:

$0.85

Step-by-step explanation:

2 juice pouches- $2.50

3c+2.50=5.05 (c is for bags of chips)

3c=5.05-2.50

3c=2.55

c= $0.85

So one bag of chip is $0.85

8 0
1 year ago
Read 2 more answers
​Jody, a statistics​ major, grows tomatoes in her spare time. She measures the diameters of each tomato. Assume the Normal model
lina2011 [118]

Answer:

Zscore = 0.5

Step-by-step explanation:

If we assume a normal distribution, we mean that the diameters of each tomato follow a normal distribution. This is N~ (0,1).

By that, we mean that the mean (μ) = 0 and variance (\sigma^{2}) = 1. Thus, since we are told that one tomato was in the 50th percentile. This implies the median. And is 0.5. And if the distribution is normal, the mean and median and mode should be equal.

Thus:

==> Z score = \frac{x-\mu}{\sigma} = \frac{0.5 - \mu}{\sigma} = \frac{0.5-0}{1} = 0.5

8 0
2 years ago
You have a coupon for a local craft store that is for 40% off one item. You would like to purchase a glue gun for $8.99 and a ba
Yanka [14]

Answer:

$26.06

Step-by-step explanation:

You would like to purchase a glue gun for $8.99 and a basket for $25.99. The highest-priced item is a basket for $25.99. So, the coupon will take the discount off for this item.

The new price of the basket is

\$25.99\cdot (1-0.4)=\$25.99\cdot 0.6=\$15.594

The total cost of your buying  is

\$8.99+\$15.594=\$25.584

There will be a 6% sales tax added to the price of all items. So, the end cost is

\$25.584\cdot (1+0.06)=\$25.584\cdot 1.06=\$26.05904\approx \$26.06

4 0
2 years ago
The average time taken to complete an exam, X, follows a normal probability distribution with mean = 60 minutes and standard dev
k0ka [10]

Answer: b. 0.8413

Step-by-step explanation:

Given : The average time taken to complete an exam, X, follows a normal probability distribution with \mu=60\text{ minutes} and \sigma=30\text{ minutes} .

Then, the  probability that a randomly chosen student will take more than 30 minutes to complete the exam will be :-

P(x>30)=P(z>\dfrac{30-60}{30})\ \ [\because\ z=\dfrac{x-\mu}{\sigma} ]\\\\=P(z>-1)=P(z-z)=P(Z

 [using z-value table]

Hence, the probability that a randomly chosen student will take more than 30 minutes to complete the exam =  0.8413

3 0
2 years ago
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