Answer:
choice 1
Step-by-step explanation:
angle 1 = angle 7 (exterior alternate angle)
angle 3=angle 5 (interior alternate angle)
It would be (12,20) or (20,12) I don't know which one
Here's what i found online:
<span>a/3+4=6
We simplify the equation to the form, which is simple to understand
<span>a/3+4=6
Simplifying:
<span> + 0.333333333333a+4=6
We move all terms containing a to the left and all other terms to the right.
<span> + 0.333333333333a=+6-4
We simplify left and right side of the equation.
<span> + 0.333333333333a=+2
We divide both sides of the equation by 0.333333333333 to get a.
<span>a=6
Hope this helped :-)</span></span></span></span></span></span>
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