Answer:
complementary
Step-by-step explanation:
The total angle is a right angle. Complementary angles are angles that add up to 90 degrees. Right angles are 90 degrees so the answer is complementary.
Answer:
Step-by-step explanation:
<u>Complete the square</u>
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Answer:
y = -2x - 2
Step-by-step explanation:
Given:
m = -2
Slope-intercept:
y - y1 = m(x - x1)
y + 8 = -2(x - 3)
y + 8 = -2x + 6
y = -2x - 2
A must be parallel to b.
Proof:
∠3 = <span>∠13 (given)
</span>∠15 = <span>∠13 (vertically opposite angles are equal)
Since </span>∠13 = ∠3 and ∠13 = ∠15, ∠15 = <span>∠3
Then, a must be parallel to b (transverse line d cuts parallel lines producing converse alternate angles that are equal (ie </span>∠15 = <span>∠3))
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Answer:
Slope of JK = -4/5
Step-by-step explanation:
We know that GHJK is a parallelogram. If GHJK is a parallelogram then the sides of parallelogram will be:
GH, HJ, JK, GK
Hence the opposite sides will be:
GH and JK
HJ and GK
We know that opposite sides of parallelogram are parallel to each other and the slopes of parallel lines is equal.
So the slope of GH and JK will be equal.
And slopes of HJ and GK will be equal.
As we are given the slope of GH which is -4/5, the slope of JK will also be -4/5 because both lines are parallel.
