Answer:
m=2
Step-by-step explanation:
slope is the average rate of change in a specific interval
we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)
m=(y2-y1)/(x2-x1)
=(-1-7)/(-3-1)
=-8/-4
=2
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Hi there! :)
a) (ii) The two angles are vertical angles, so they are congruent.
b)(i) y = 71°
(ii) The two angles are alternate interior angles, so they are congruent.
c) z = 44°
(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.
b) (i)
∠y is an alternate interior angle, therefore:
m∠y = 71°
c) Use the sum of interior angles of a triangle to determine the measure of angle z:
180 = 65 + 71 + z
180 = 136 + z
180 - 136 = z
z = 44°.
Answer:
Yes
Step-by-step explanation:
What would you do if he said ok so he said yes would go?
I told him god bless him and to keep working in his vocabulary.
I'm not sure if this is the easiest way of doing this, but it surely work.
Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

If we solve the first two equations for y squared, we have

And we can deduce

So that the third equation becomes

(we can't accept the negative root because negative lengths make no sense)