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Stella [2.4K]
2 years ago
5

In triangle ABC, EP=4. What is PC?

Mathematics
1 answer:
padilas [110]2 years ago
4 0

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

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What is the area of this quadrilateral?
ivann1987 [24]

42 square feet

12+30=42

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3 years ago
Which term describes the set of all possible output values for a function?
Firdavs [7]

The <em><u>correct answer</u></em> is:

C. Range

Explanation:

The definition of domain is the set of all possible input values, or x-values, of a function.

The definition of range is the set of all possible output values, or y-values, of a function.

3 0
3 years ago
Read 2 more answers
What is 140 1/8 in radical form?
posledela
140 1/8 can not be expressed in radical form because it neither has an exponent or a square root. Unless if 140 is raised to the power of 1/8, then that can be.
8 0
3 years ago
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
Solve for X<br> Please walk me through the steps, I understand most of it I just forgot how to do it
nadya68 [22]

Answer:

x=8

Step-by-step explanation:

first you need to find the unknown corner so you do 180-71= 109

then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360

then set everything equal to 360:

10x+6+13x-2+8x-1+109=360

(combine like terms)

31x+112=360

(subtract 112 form both sides)

31x=248

(divide both sides by 31)

x=8

8 0
3 years ago
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