When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
2x+4=3x+1
Then solve for x.
x=3
Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
DF= 20
DE= 10, EF= 10, DF= 20
Hope this helps.
There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:
R(90 deg) : (X,Y) ---> (-Y,X)
Using the given coordinates:
R(90 deg<span>) : (-4,1) ---> (-1,-4)
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Therefore, Point C' will be located at (-1,-4)
Answer:0.245
Step-by-step explanation:
Hi there!
"mph" stands for "miles per hour".
This means that the car travels 55 miles in 1 hour.
To find your answer, you'll need to use the cross product method :
55 miles → 1 hour
206.35 → x
(1 × 206.35) ÷ 55 = x
206.35 ÷ 55 = x
206.35 ÷ 55 = 3.751818...
206.35 ÷ 55 ≈ 3.75
0.75 × 60 = 45 minutes
Your answer is: It takes 3 hours and 45 minutes for the car to arrive at its destination.
There you go! I really hope this helped, if there's anything just let me know! :)
Solve 6x>x+20.
6x-x>20
5x>20
x>4
Answer: all values of x (including decimals and irrationals) greater than 4 will satisfy the given requirement that 6 time x is greater than x+20.
