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AlekseyPX
3 years ago
9

What is the midpoint of segment AB if A = (-2,2) and B = (4.-6)?

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

M=(1,-2)

Step-by-step explanation:

Start with the midpoint formula:

M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

Identify your values:

x_1=-2\\x_2=4\\y_1=2\\y_2=-6

Substitute:

M=(\frac{-2+4}{2} , \frac{2+(-6)}{2} )

Combine terms:

M=(\frac{2}{2},\frac{-4}{2} )

Simplify:

M=(1,-2)

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the exterior angle of a regular polygon is one third the size of its interior angle. how many sides does the polygon have
Aloiza [94]

Answer:

8 sides

Step-by-step explanation:

let x be the exterior angle then 3x is the interior angle

interior angle + exterior angle = 180° , then

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

the sum of the exterior angles of a polygon = 360°

since the polygon is regular with each exterior angle = 45°, then

number of sides = 360° ÷ 45° = 8

7 0
2 years ago
SOMEONE PLEASE ANSWER ASAP!! 55 POINTS!!
nadezda [96]

Answer:

EG = 16 and FH =22

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other

so 2a  = 3b+2

and 2a+3 = 6b-1

We know have a system of equations to solve

2a  = 3b+2

 2a+3 = 6b-1

Subtract 3 from each side

2a+3-3 = 6b-1-3

2a = 6b -4

Now we can set the 2 equations equal  ( 2a  = 3b+2  and 2a = 6b -4)

3b+2 = 6b-4

Subtract 3b from each side

3b-3b+2 = 6b-3b-4

2 = 3b-4

Add 4 to each side

2+4 = 3b-4+4

6 = 3b

Divide by 3

6/3 = 3b/3

2 =b

We want to find a

2a  = 3b+2

Substitute in b=2

2a = 3(2) + 2

2a = 6+2

2a =8

Divide by 2

2a/2 =8/2

a = 4

Now that we know a and b

EG = 2a + 3b+2

    = 2(4) + 3(2)+2

   = 8+6+2

   = 16

FH = 2a+3 + 6b-1

    = 2(4) +3 +6(2)-1

    = 8+3+12-1

   = 23-1

  = 22

4 0
3 years ago
Oliver runs 23 fewer laps than nate. Nate runs 61 laps. How many laps does oliver run?
Crazy boy [7]

Answer:

38

Step-by-step explanation:

Since Oliver ran 23 fewer laps, you would use subtraction.

So you do 61-23=38

Hope this helps!!

Let me know if you are confused.

5 0
3 years ago
Read 2 more answers
The variable y varies directly with the variable x.
Tomtit [17]

Answer:

I believe it is 21

Step-by-step explanation:

5 0
3 years ago
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A candy maker buys a bar of chocolate weighing 162 oz. About how many lb does the bar weigh?
Natali [406]
Use dimensional analysis. 1 lb = 16 oz will be the conversion factor. 162 oz x (1 lb/16 oz) = 10.125 lb.
7 0
3 years ago
Read 2 more answers
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