4(5x + 7) = 128
First, I'd do distributive property and get:
20x + 28 = 128
Then, subtract 28 from each side.
20x = 100
Next, I'd divide 100 by 20 = 5
x = 5
4 *(5(5) + 7) = 128
5 * 5 = 25
4 * (25 + 7)
4 * 32 = 128
Therefore, the perimeter = 2l + 2w
l = 4
w = 5x + 7
BUT we know that x = 5
w = 5(5) + 7 = 32
2(4) + 2(32)
8 + 64 = 72
Therefore, the perimeter would be 72 inches.
Step-by-step explanation:
62= -3k + 7k + 42 + 4
62 - 42 - 4 = 4k
16 = 4k
4 = k
The missing fraction would be
since it is exactly in the halfway between
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
brainly.com/question/15602982
#SPJ1
