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cestrela7 [59]
3 years ago
5

Which theorem states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote

interior angles of the triangle?
A. Triangle Sum Theorem
B. Remote Interior Angle Theorem
C. Exterior Angle Theorem
D. Exterior Inequality Theorem
Mathematics
2 answers:
Daniel [21]3 years ago
6 0

Answer:

C. Exterior Angle Theorem

Step-by-step explanation:

The Exterior Angle Theorem states that - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

The remote interior angles are the interior angles of a triangle that are not adjacent or non - adjacent to a given angle.

So, the correct answer will be - C. Exterior Angle Theorem

KonstantinChe [14]3 years ago
3 0
C. Exterior Angle Theorem.
You can easily conclude that based on the wording of the theorem when it states "exterior angle," which is the main topic of the theorem.
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Which of the following is closest to the distance that the tip of the hand travels as it moves from
Gwar [14]

Answer:H

Step-by-step explanation:

8 0
3 years ago
Lisa reads 1/2 of a 200 page book
alexgriva [62]

Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

6 0
3 years ago
Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb
Maksim231197 [3]

Answer:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: "Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 0 and 8 years. Use the range rule of thumb to estimate the standard deviation.

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb to estimate the standard deviation. Next, find the size of the sample required to estimate the mean age (in years) of textbooks currently used in college courses. Use a 90% confidence level and assume that the sample mean will be in error by no more than 0.25 year."

Solution for the problem

First we need ti find the estimation for the standard deviation using the Rule of thumb, with the following formula:

s \approx \frac{R}{4}

Where R is the range defined as :

R = Max - Min = 8-0 = 8

So then the deviation would be approximately:

s \approx 4

Important concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error (ME) is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (1)

And on this case we have that ME =\pm 0.25 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (2)

We can assume that the estimator for the population deviation from the rule of thumb is \hat \sigma = s= 4

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.64, replacing into formula (2) we got:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

6 0
3 years ago
Evaluate the expression
Oksanka [162]

answer: I think the result is 12

Step-by-step explanation:

c(b+a)-a=

2(3+6)-6=

6+12-6= 12

6 0
2 years ago
When x is 4, y is 12. If y varies directly as x, which equation relates x and y?
zubka84 [21]

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

5 0
3 years ago
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