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expeople1 [14]
3 years ago
14

Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0
  • Midpoint formula is (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) .
<h3>19.</h3>

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: \frac{x+2}{2}=5 From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: x+2=10

Next, subtract both sides by 2 and your x-coordinate is x=8

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

\frac{y+0}{2}=2\\ y=4

<u>Putting it together, the missing endpoint is (8,4).</u>

<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>

<h3>20.</h3>

\frac{x+5}{2}=6\\ x+5=12\\ x=7

\frac{y+4}{2}=3\\ y+4=6\\ y=2

<u>The missing endpoint is (7,2).</u>

<h3>21.</h3>

\frac{x+3}{2}=-1\\ x+3=-2\\ x=-5

\frac{y+9}{2}=5\\ y+9=10\\y=1

<u>The missing endpoint is (-5,1).</u>

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erica [24]

Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

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let the number of boys and girls be x

applying the part to all method

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Hence the number of girls is

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3 0
2 years ago
3х – 8y = 34<br> 7х + 4у = -34<br> Solve by elimination <br> Y and x<br> Please show steps ):
garri49 [273]

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

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I hope this help sorry I'm not good explaining

4 0
2 years ago
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Arada [10]

Answer:

28, 35, 43

Step-by-step explanation:

8-7 = 1

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As you can see you need to add one extra numbers and the sequence goes on

6 0
1 year ago
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Levart [38]

Answer:

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2 years ago
Please help! I'm giving branniest for the correct answer! (SHOW WORK)​
scoray [572]

Answer:

102

Step-by-step explanation:

it's a parallelogram so it's BxH

A = 15x8 = 120

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subtract the inside from the outside

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6 0
3 years ago
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