Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
Answer:
yes
Step-by-step explanation:
2 sqrt(3) * sqrt(12)
Rewriting sqrt(12) as sqrt(4 *3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(12) = sqrt(4) sqrt(3) = 2 sqrt(3)
2 sqrt(3) * sqrt(12) = 2 sqrt(3) * 2 sqrt(3)
=4 * (sqrt(3) )^3
= 4 *3
=12
Answer:
m = 5/8
Step-by-step explanation:
2 - (-3)
The slope is m = rise / run = ------------- = 5/8
6 - (-2)