All categories

3 years ago

Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.

Mathematics

1 answer:

givi [52]3 years ago

4 0

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

$15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5$

Remember that

$PR=5\ ft$ ----> given problem

$PR=PQ+QR\\PR=(15x-2)+(5x+3)$

substitute the value of x

$PR=(15(0.5)-2)+(5(0.5)+3)$

$PR=(5.5)+(5.5)$

$PR=11\ ft$

Compare with the given value of PR

$5\ ft\neq 11\ ft$

therefore

Q is not the midpoint of PR

You might be interested in

What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16

slamgirl [31]

The answer is 8 because you use the order of operations. So it would be 16 divided by 4, then you would do 4+4 which is 8

4 0

3 years ago

Weatherwise magazine is published in association with the American Meteorological Society. Volume 46, Number 6 has a rating syst

lisabon 2012 [21]

Answer:

a) c) μ = 16.4.

b) d) μ > 16.4.

c) a) μ < 16.4.

d) c) μ ≠ 16.4.

e) d) right; left; both.

Step-by-step explanation:

Question a:

Test if it is getting worse, so at the alternative hypothesis we test if the mean is of greater than 16.4 inches, but at the null hypothesis we test if it is still of 16.4 options, so option C.

Question b:

At the alternative hypothesis we test if the mean is of greater than 16.4 inches, as said above, so the answer is given by option d.

Question c:

Dying down, so if the mean is lower than 16.4 inches, so option a.

Question d:

Don't know, so just test if it is different, which includes both lower or greater, so the correct answer is given by option c.

Question e:

Test if more -> right, so on question b) is a right tailed test.

Test if less -> left, so on question c) is a left tailed test.

Different -> both sides, so on question d) it is a two-tailed test.

Thus the correct answer is given by option d.

3 0

3 years ago

Consider 4x +12 < 28. which value of x makes the given inquality TRUE? A) 3 B) 6 C) 7 D) 10

Pepsi [2]

Answer:

Step-by-step explanation:

4(3)+12=24, which is less than 28, so the inequality would be true

7 0

3 years ago

Read 2 more answers

HELP ME PLEASE, it’s confusing

kakasveta [241]

The number at the end of the equation shifts the graph up or down.

Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.

The answer is D.

6 0

3 years ago

Read 2 more answers

What is the volume of this?

Oksanka [162]

Answer:

82 in^3

Step-by-step explanation:

3 x 2 x 7 + 2 x 2 x 10 = 82 in^3

7 0

2 years ago