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77julia77 [94]
3 years ago
8

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Prove: The segments joining the midpoints of the opposite sides of a quadrilateral bisect each other. Midpoints of both segments are the same point; therefore, segments bisect each other.

Mathematics
1 answer:
gladu [14]3 years ago
8 0
All you need to do is copy the letters and numbers from the figure for R, S, T, and U. It is as easy to do that as it is to copy from my answer here. For example,
  R = (b/2, 0)

The point M is the midpoint of both SU and RT. Since it comes out the same either way, it doesn't matter which pair of points you use to find M. However, the "b+c+" in the first expression x-coordinate suggests you start with point S.

M=\dfrac{S+U}{2}=\left(\dfrac{\left(\dfrac{b+c}{2}\right)+\left(\dfrac{e}{2}\right)}{2},\dfrac{\left(\dfrac{d}{2}\right)+\left(\dfrac{f}{2}\right)}{2}\right)\\\\M=\left(\dfrac{b+c+e}{4},\dfrac{d+f}{4}\right)

Then the other expression for M will fill in as ...

M=\left(\dfrac{c+e+b}{4},\dfrac{d+f}{4}\right)
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Solve for n<br><br><br>-1(2n+4)= -14
DedPeter [7]

Yo sup??

-1(2n+4)=-14

-2n-4=-14

-2n=-10

n=5

Hope this helps.

3 0
3 years ago
Read 2 more answers
A bottle of soda contains 360 mL. at $2.05 for the carton of soda, what is its cost per liter?
Aleksandr-060686 [28]

Answer:2160ml

Step-by-step explanation:Yes sir

8 0
3 years ago
Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leap
stepladder [879]

Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

The height of the dolphin after t seconds is given by:

h(t) = -16t^2 + 96t - 128

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which h(t) = 0 it crosses the surface upwards, and then the second time for which h(t) = 0 it crosses the surface downwards.

We have to find these roots. So

h(t) = -16t^2 + 96t - 128

-16t^2 + 96t - 128 = 0

Multiplying by -16

t^2 - 6t + 8 = 0

\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4

t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4

t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2

4 - 2 = 2

The dolphin will be above the surface of the water for 2 seconds.

4 0
2 years ago
1. Describe how the figures are alike.<br> 2. Describe how the figures are different.
IgorLugansk [536]
Some figures have more faces than others.
some have diffrent base

They are all 3-Dimensional shapes
5 0
2 years ago
How far will a train travel in 5 hours if it travels at 80 miles per hour?
Lunna [17]

Answer:

  C.  400 miles

Step-by-step explanation:

In each hour, it travels 80 miles. (That is the meaning of "80 miles per hour.") So you can add up the distances over a period of 5 hours:

  80 miles + 80 miles + 80 miles + 80 miles + 80 miles

After the first sum (80+80=160), you can see what the correct answer will be. Continuing, you find the sum to be ...

  = 400 miles

___

Multiplication was invented to make repeated addition easier.

  5 × 80 miles = 400 miles

_____

Strictly speaking, you are multiplying numbers with units here:

  (5 h) × (80 mi/h) = 400 mi·h/h = 400 mi . . . . . . the units h/h cancel

7 0
3 years ago
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