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3 years ago

Triangle LMN is similar to triangle PQR, and the hypotenuses of the triangles both lie on line X.

Mathematics

2 answers:

Mice21 [21]3 years ago

6 0

Answer: choice C) -2/3

The line X is completely straight meaning that the slope of line X is the same no matter which two points you pick. Since we're given that line X has a slope of -2/3 through the points (-7,6) and (-4,4), this also applies to the portion from (-1,2) to (5,-2)

AnnZ [28]3 years ago

5 0

Answer:

C. -2/3

Step-by-step explanation:

Point L is at (-7, 6), and point N is at (-4, 4). So, the slope of line X between (-7, 6) and (-4, 4) is equal to the ratio of LM to MN.

Since triangle LMN is similar to triangle PQR, the ratio of PQ to QR is equal to the ratio of LM to MN.

So, the slope of line X between points L and N is equal to the slope of line X between points P and R.

Point P is at (-1, 2), and point R is at (5, -2). Therefore, the slope of line X between (-1, 2) and (5, -2) is

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The standard deviation of a population is known to be 7.8. If The sample size is 85, what is the standard error of the mean?

enot [183]

The given standard deviation of a population (σ) = 7.8

sample size (N) = 85

We have to find standard error of the mean.

The formula to find standard error of the mean

= (standard deviation of the distribution) / (square root of sample size)

= (σ) / (√N)

= 7.8 / (√85)

= 7.8 / 9.219544457

= 0.8460

= 0.85 (approximately taken to two decimal places)

We have got the required answer.

The standard error of the mean is 0.85.

6 0

3 years ago

The length of a rectangle is 3 feet more than 5 times its width. The perimeter of the rectangle is 42 feet.

poizon [28]

42 = 2(W+L)

21= (W+L)

L= 3+5W)

21= W +(3+5W)

21= 3+6W

21-3=6W

18=6W

W=18/6

Answer:

w = PERIMETER/2 - LENGTH

w = 42/2 - (3+5w)

PS. I THINK THIS IS RIGHT. NOT TOO SURE, BUT MOST LIKELY.

6 0

3 years ago

What is the value of x x=2.25 X= 11.25 x= 13 x= 22

Gemiola [76]

we know that

The sum of the internal angles of a triangle must be equal to $180$ degrees

see the attached figure with letters to better understand the problem

m∠B+ $(6x+1)=180$ °-----> by supplementary angles

m∠B= $179-6x$

m∠A= $2x+10$

m∠C= $79$

m∠A+m∠B+m∠C= $180$

Substitute

$(2x+10)+(179-6x)+79=180\\ -4x+268=180\\ 4x=268-180\\ 4x=88\\ x=22\ degrees$

therefore

the answer is

the value of x is equal to $22\ degrees$

5 0

3 years ago

Rachel is collecting donations for the local animal shelter. So far she has collected , which is of what she hopes to collect. H

Rudiy27

Answer:

The money Rachael plan to collect for the shelter is $345.

Step-by-step explanation:

There are some data missing in the question, so below is the complete question:

Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?

Now, to find the money Rachael plan to collect for the shelter.

Let the total money Rachael plan to collect be $x.$