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°
It's 59 millimeters long. Hope this helps.
The theatre needs to sell 100 tickets in advance. or 80 tickets at the door to reach $400.
They would need to sell 48 tickets at the door to reach their goal.
Answer:
13 bags
Step-by-step explanation:
1: If he has 6 3/4 lbs to start with, this is 6.75 lbs, as 3/4 = 0.75.
2: He wants the new bags to be 1/2 lb, which is 0.5 lbs.
3: If we divide 6.75 by 0.5, we get the exact number of bags he could have - 13.5.
4: However, the bags must be full, so we have to disregard that extra 0.5 bags, and say he can completely fill 13 bags.
Hope this helps! Let me know if you have any questions :)
Answer:
Tan(x) = 1/
We know that Tan 30 = 1/
Therefore, x = 30 degrees
