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
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The line in the middle is half the length of the line on the outside. Multiply the middle line by 2 and set it equal to the outside line.
2(x-3) = x + 6
Simplify:
2x -6 p x + 6
Add 6 to both sides
2x = x + 12
Subtract x from both sides:
X = 12
The answer is B) 12
<span>Since ten percent of 80 is 8 dollars, you can simply multiply 8x2, and arrive at the correct discount value of 16 dollars. Subtract 16 from 80 and arrive at the final price of $64.00</span>
To vertically strech or shrink a function, multily the whole function by the factor taht you want to strech or shrink it by
to horizontally strech or shrink a function, multiply every x by the factor you want to strech or shrink it by
shrinks mean multiplying by a value greater than -1 and less than 1
stetch means multiply by a value greater than 1 or less than -1
first one
horizontal shrink
muliply every x by a fraction
so that is A
2nd one
vertical strech
multiply whole function by a value greater than 1 or less than -1
D is the answer
3rd one
horizontal strech
multiply every x by a value greater than 1 or less than -1
C is the answer
4th one
vertical shrink
multiply whole function by a value greater than -1 and less than 1
B is the answer
