In the diagram of
△△NRQ below, SP∥∥RQ, NS=10, SR=50, and PQ=40. What is the length of NQ?

I'll do the first two to get you started

See the diagram below for the filled out answers.

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Problem 1

You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.

For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.

For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.

Answers:

in that order

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Problem 2

We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y

As a way to check the answer, note how 5y is on the left side of line 2.

Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.

The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2

Answers:

in that order

See the diagram below for the filled out answers.

Answer:

x hope this helped you a lot

Answer:

The number of laps Tonya swam last week were:

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

Answer:

5√3

Step-by-step explanation:

Thanks to the given information we can say that the smallest leg is 5 because the triangle is half of an equaliteral one.

for the same reason we can say that x is 5√3 that is the simplest from of the result of the Pytaghorean theorem

[tex]12 {x}^{2} + 8x + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

MN=2.5cm

Step-by-step explanation:

4/2=6/3=8/4=k=2

MN=5/2=2.5cm

Answer:

A) 13.4 feet

Step-by-step explanation:

You need to use the Pythagorean theorem:

L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet

Answer:

The answer is 4

Answer:

343.75 miles

Step-by-step explanation:

2.75 * 125 = 343.75

Answer:

29

Step-by-step explanation:

5^2 = 5x5

=25+4

=29

Answer:

29

Step-by-step explanation:

Here, b=5

Now a= b^2+4

= (5)^2+4

=25+4

=29 Ans

Answer: 64r^36

Step-by-step explanation:

On picture below

Answer:

10

Step-by-step explanation:

multiply the first equation by 2 in order to be able to cancel out the -4z and the 2x

4x-30y=-20

-4x+5y=-30

50y+5y = -20+(-30)

55y=-50

Answer:

D. X=-3, y=4

Step-by-step explanation:

-2x+3y=18 equation 1

x=-y+1 equation 2

-2(-y+1)+3y=18 replace x value of equation 2 into equation 1

2y-2+3y=18

5y=20

y=4

solve for x by replacing y value into either equation.

x=-y+1

x=-4+1

x=-3

Answer:

1/2 x 2/3 = 0 . 3

1 1/2 x3/4 = 1. 125

4/4 x 7/6 = 1 . 27  

3 divided by 1/2 = 6

2/3 divided by 1/2 = 1. 3

Step-by-step explanation:

1/2 x 2/3

= 0.33333333333

= 0 .3

1 1/2 x3/4

= 1.125

4/4 x 7/6

= 1.16666666667

= 1.27

3 divided by 1/2

= 6

2/3 divided by 1 / 2

= 1.33333333333

= 1. 3

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

1. 5/6

2. 5/8

3. 29/44

4. 3/8

5. 2/15

6. 0.3

7. 1.125

8. 1.27

9. 6

10. 1.3

11. 345,000

12. 128,000

13. 42

14. 40

15. $365.47 and $365

16. $125.66 and $126.

Step-by-step explanation:

The average rate of change of the function over the interval [1,3] will be around 45 which is nearest an option to 42 so option (C) will be correct.

The link between lines and points is described by a graph, which is a diagrammatic representation of a network.

A graph consists of various points and the separation between two of them. Neither the length of the lines nor the placement of the points matters. Each component of a graph has a name, known as a node.

For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.

The rate of change is given by dy/dx

The average rate of change can be given as (difference in y coordinate)/(difference in x coordinate)

Average rate of change = ( 102 - 12 )/(3 - 1 ) = 45 which is nearest to option (C) hence it will be correct.

For more details about the graph

brainly.com/question/16608196

#SPJ2

Answer:

377

Step-by-step explanation:

f(x) = 3* 2^(x+2) -7

Let x=5

f(x) = 3* 2^(5+2) -7

Parentheses first

f(x) = 3* 2^(7) -7

Then exponents

f(x) = 3* 128 -7

Then multiply

f(x) = 384 -7

Then subtract

f(x) = 377

Answer:

377

Step-by-step explanation:

3×2^x+2 -7

plug in 5 for x

3×2^5+2 -7

3×2^7 -7

377

Answer:

3/5 x 3/5 x 3/5 = 27/125

Step-by-step explanation:

3/5 to the power of 3 means you multiply 3/5 by itself 3 times.

The Answer is 21/50 which is = 0.42

Answer:

v=3√3in

Step-by-step explanation:

Answer:

3√3in c:

Step-by-step explanation:

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

Answer:

By easing the ranking and colerration of the data

Answer: a table is an organized way of displaying data

all data in a table has the same format

you can see how output of a data set changes by looking at a column

you can compare outputs of different functions that have the same input by looking at rows

Step-by-step explanation: edge 2022

Answer:

C

Step-by-step explanation:

The radius is 4 making the diameter 16 you need the other side since in half so that leaves you with answer C...16[tex]\pi yd^2[/tex]

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

- 11/12

Step-by-step explanation:

5/8 + 3/4

_______ x 24/24

-2/3 - 5/6

15+18

= ______

-16-20

33

= _____

-36

= - 11/12

Answer:

x = 77, y = 42

Step-by-step explanation:

y + 31 = 73 via parallel, y = 42

x + y + 61 = 180 via triangle angle sum, x = 77

Answer:

y=42

x=77

Step-by-step explanation: