Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:

Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:

The perimeter is given by:

I hope it helps you!
Cos(θ) = -20/√((-20)^2 +(-21)^2)
.. = -20/-√841 . . . . . . . . . . . . . . . . . θ is a 4th-quadrant angle, so cos(θ) > 0
.. = 20/29
The value of the cosine is 20/29.
The rate of interest is 75 % per year
<em><u>Solution:</u></em>
Given that, Jamerra received a $3,00 car loan
she plans on paying off the loan in 2 years
<em><u>Jamerra will have paid $450 in interest</u></em>
Therefore, we get
Principal = $ 300
Number of years = 2
Simple Interest = $ 450
Rate of interest = ?
<em><u>The simple interest is given by formula:</u></em>

Where,
"p" is the principal and "n" is the number of years and "r" is the rate of Interest
<em><u>Substituting the given values we get,</u></em>

Thus rate of interest is 75 % per year