Answer: 144 inches squared
Step-by-step explanation:
10x12=120
6x8x0.5=24
120+24=144
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
It is A
<span><span><span>23</span>x</span>=10</span>Step 1: Multiply both sides by 3/2.<span><span><span>(<span>32</span>)</span>*<span>(<span><span>23</span>x</span>)</span></span>=<span><span>(<span>32</span>)</span>*<span>(10)</span></span></span><span>x=<span>15
</span></span>Answer:<span>x=<span>15</span></span>
