If R is the midpoint of QS, QR = 8x – 51 and RS = 3x – 6, find QS.

Answers

Answer 1

Answer:

42 units

Step-by-step explanation:

If R is the midpoint of QS, then by definition, QR = RS. Since QR = 8x - 51 and RS = 3x - 6, set these equal to solve for x:

QR = RS

8x - 51 = 3x - 6

5x = 45

x = 9

Now that we know x = 9, we can plug this back into one of the expressions for QR or RS to find its length:

QR = 8x - 51 = 8 * 9 - 51 = 72 - 51 = 21

Since half of QS is 21, then the whole of QS is twice that:

2 * 21 = 42

The answer is thus 42 units.

~ an aesthetics lover


Related Questions

*PLEASE ANSWER ASAP* Julie is playing a game where she must flip 3 coins. If Julie flips all 3 coins and gets heads all three times, she wins. If Julie does not get heads all three times, she loses. This information was used to create the following tree diagram.

Answers

Answer:

1/8

Step-by-step explanation:

2*2*2 = 8

There are 8 possible outcomes when flipping 3 coins

Only 1 is a winner ( HHH)

P( winning) = 1/8

Convert 150% into a fraction in simplest form
Please do step by step of how you did it PLEASE :)

Answers

Answer:

1  1/2 one and a half

Step-by-step explanation:

So we know 100% is 1 whole so we already know we have 1. 50% is half and if we put 1 and 1/2 together is gives us 1 1/2 one and a half hope this answered your question.

Answer:

1.50 is 150% in decimal form and 1 1/2 is in fraction form

Step-by-step explanation:

150 is over 100 so equals 1 whole

50 is left over

50 is half of 100 so 1/2 is the same fraction

friend me and please mark me brainliest :)

Random groups of 25 graduates of a school of nursing were asked the
starting annual salary for their first nursing job after graduation. The sampling
variability was low. If the average salaries of several of the groups were close
to $67,000, which of these is least likely to be the average salary of another of
the groups?

Answers

Answer:

$77,000

Step-by-step explanation:


Can you help me please!

Answers

Answer:

see the picture attached

what is the product (3a2 b4) (- 8b3)

Answers

Answer:

-24 a^2 b^7

Step-by-step explanation:

Simplify the following:

-8×3 a^2 b^4 b^3

Hint: | Combine products of like terms.

3 a^2 b^4 (-8) b^3 = 3 a^2 b^(4 + 3) (-8):

-8×3 a^2 b^(4 + 3)

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

-8×3 a^2 b^7

Hint: | Multiply 3 and -8 together.

3 (-8) = -24:

Answer: -24 a^2 b^7

Answer:

The correct answer is:

D) -24a³b^7

Step-by-step explanation:

I got it correct on EDGE 2020

X/5=1/(x+4) solve for x

Answers

ANSWER:

X is -5 and 1.

1) cross multiply

2) subtract five from both sides

3) factor

4) check for extraneous

5) ask me if you are still confused.

Multiply (3)(−4)(2).

Answers

Answer:

24

Step-by-step explanation:

3x-4=-12x2=24

Answer:

Your correct answer is -24

Step-by-step explanation:

(3)(−4)(2)

= (−12)(2)

= −24

PLEASE HELP integers and absolute value 8th grade 1.the opposite of -4 a.4 b.-4 c.-(-(-10)) d. -|10| 2.the opposite of -10 is ? a. -(-(-10)) b. -10 c.10 d.-|10| 3. which symbol is used to make -5? -8 a true statement a. > b. b. > c.=

Answers

Answer:

The distance of it.

Step-by-step explanation:

1. answer is A.4

2. answer is C.10

3. answer is A.>

If one set of ping pong balls coast 8$ how much does 320 ping pong balls coast?

Answers

You don't give how many ping balls are in the "set" but if you know you can solve by:

Divide the total cost by number of balls in the set.Multiply the unit cost by 320.

Best of Luck!

2. Here is a scale drawing of an average seventh-grade student's foot next
to a scale drawing of a foot belonging to the person with the largest feet
in the world. Estimate the length of the larger foot.

Answers

Answer:15(6)+15=13

Step-by-step explanation:

6. The complement of an angle is 5 less than four times the angle. Find the measure of the angle.

Answers

The first angle is 76 and the second angle is 14. You can check this by doing 14+5=19 and then multiply that by 4.

Emily ended up using 7/3 cups of flour in a recipe for cookies express the amount of flour that she used as a decimal

Answers

Answer:

2.365

Step-by-step explanation:

Answer:

ds

Step-by-step explanation:

Can anyone help me with this?

Answers

I don't understand ur hand writing sorry

Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

Answers

Answer:

105/7=15

Step-by-step explanation:

equations have equal signs

 death valley located in the United States is 282 feet below sea level is the level of Galilee located in Israel is 682 feet below sea level how much further between the lowest point in death Valley is the lowest point in the Sea of Galilee

Answers

Answer:

400 feet.

Explanation:

We need to find the difference between the lowest point of Galilee and the lowest point of Death Valley. We can find this by subtracting the lowest point of Galilee by the lowest point of Death Valley. It says the lowest point of Galilee is 682 feet below sea level and the lowest point of Death Valley is 282 feet below sea level. Therefore, we subtract 682 - 282, which equals 400.

6. Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?

Do not use the equal sign, we're using the greater than sign > and the < less than sign!​

Answers

Answer:

x≤ 5

Step-by-step explanation:

18-2-1=15

15/3=5

Answer:

the number of book she can carry is 5 books

Step-by-step explanation:

backpack capacity = 18 lb

backpack can carry:

lunch = 1 lb

gym clothes = 2 lb

books = 3 lb per book

find:

how many books can she carry in her backpack?

backpack capacity = lunch + gym clothes +  x books

let x be the number of books

18 = 1 + 2 + 3x

18 - 1 - 2 = 3x

15 = 3x

x = 15 / 3

x = 5

therefore, the number of book she can carry is 5 books

the mean for 11,12,14,14,16,23,30​

Answers

Answer:

17.14

Step-by-step explanation:

You add all the numbers(gives you 120) and divide by the total number of data points. In this case 7.

Answer:

The mean is 17.1428571429

Step-by-step explanation:

Find the value of the expression below when x = 3/4 *
4x2 + 8x – 5

Answers

Answer:

9

Step-by-step explanation:

4x2 + 8(3/4) - 5

8 + 6 - 5

14 - 5

9

what is the next numbere 11 13 16 21 28 39​

Answers

the awnser is 52 because it’s going up by prime numbers

If anyone takes vitamins, they will feel better. Bob takes vitamins. Therefore, Bob will feel better. Deductive Reasoning or Inductive Reasoning?​

Answers

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning is when you make a conclusion based on facts you previously know. These conclusions are correct.

Inductive reasoning is when you use a previously known fact to come up with a general assumption.

Here, we took some previously known facts (If anyone takes vitamins, they will feel better) and made a conclusion that relates fully to that fact. Since Bob took vitamins, he will feel better.

Hope this helped!

the ratio of blue beads to black beads mymaths

Answers

Answer:

you need to add a picture or add more to your question

Step-by-step explanation:

Answer:

can pls ask the question properly

high order thinking write missing nunber
6+ =14-5

second grade homework ​

Answers

Answer:

3

Step-by-step explanation:

14-5 = 9

6+3 = 9

Hope this helps!

Ill give brilliant if answers are Right

Answers

Answer:

5/6 and 75 1/3%

Step-by-step explanation:

8 1/3 = 25/3

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

25/3 x 1/10 = 25/30 = 5/6

So, Charlotte reads 5/6 pages of a book in 1 minute.

Which is equal to 75 1/3%

Need help doing homework

Answers

Answer:

The solution is 8

If s = 2 feet, then what is the surface area of the cube shown above? A. 24 square feet B. 12 square feet C. 16 square feet D. 48 square feet What value of p makes the equation true?

Answers

Answer:

I think it is B

Step-by-step explanation:

I hope this helps.

what is the simplest form of 8√5 + √250 - √720? i’ve been crying over this for an hour pls help

Answers

Step-by-step explanation:

8√5 + √250 - √720

= 8√5 + (√2)(√5)(√25) - (√5)(√144)

= 8√5 + 5(√2)(√5) - 12√5

= √5 (8 + 5√2 - 12)

= √5 (5√2 - 4)

= √10 (5 - √2).

Brian invests £8500 into his bank account.
He receives 5.7% per year compound interest.
How much will Brian have after 6 years?
Give your answer to the nearest penny where appropriate.

Answers

8500*1.057==??
??*1.057==??
6 times
You will have in 6 years £11854,1072

Answer:£11,854.11

Step-by-step explanation:

What value of x makes this proportion true?
25/20=X/4
O A. 5
O B. 20
O C. 9
O D. 6

Answers

The answer is 5:) you first have to cross multiply then divide both sides from x

Find the product of 3 1/8 and 1 2/7 .

Answers

4

1
56
Explanation:
multiply 3 by 8 and add to 1 =
25
8

multiply 1 by 7 and add to 2 =
9
7

So
25
8

9
7

=
225
56

=
4

1
56

Answer:

4,1/56

Step-by-step explanation:

Solve for X:

-7x -1 = -9x -17

Answers

Answer:

-8.

Step-by-step explanation:

-7x - 1 = -9x - 17

-7x - (-9x) = -17 - (-1)

-7x + 9x = -17 + 1

2x = -16

x = -8.

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