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77julia77 [94]
2 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]2 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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20 points
CaHeK987 [17]

Answer:

!!!

Step-by-step explanation:

7 0
2 years ago
An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x
Paladinen [302]

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

A(x)=800x^4+350x^3+500x^2+600x

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

A(x)=800x^4+350x^3+500x^2+600x

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)

A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609
)+618

A(1.03)=900.407048+382.45445+530.45+618

A(1.03)=2431.311498


A(1.03)\approx 2431.31


Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)

A(1)=800+350+500+600

A(1)=2250

Therefore, 2250 was put into the account at the beginning.

3 0
2 years ago
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
Deffense [45]
3,1 centimetrs (three, point, one)
4 0
3 years ago
Read 2 more answers
Select the correct answer.
Sidana [21]

Answer:c

Step-by-step explanation:

when you set (x-6) and (x-1) to zero you get 6 and 1

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Practice Problem #5 Background: The pie chart shows the approximate percentages teenagers spend doing various activities in a da
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Boom get rickety rick rolled on this guys question
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