Answer: see attachment
<u>Step-by-step explanation:</u>
Since A = C = 105° and D = 60°,
then A + B + C + D = 360°
105° + B + 105° + 60° = 260°
B + 270° = 360°
B = 90°
Answer:
60
Step-by-step explanation:
In order to get this answer, we must know that a triangle's angles add up to exactly 180. Also, Angles that intersect will have congruent, opposite sides. The last thing is that a line is = 180 degrees. So, the triangle with the 94 and the 142, you can use that. the angle next to the 142 is going to be 180-142 which is 38 and since the other angle is opposite 94, as well. when you add those up u get 132 and 180-132= 48 which is the missing angle for the far right triangle. then, you get the opposite of that angle, put that in the other triangle, do the same with the 72, and add those up to get 120 and since a triagle adds up to 180, 180-120 = 60. So, 60 is your missing angle. Cheers
You need to find a common factor that both the
numerator
and denominator have. 16 and 12 have common divisible factors of 2 and 4(excluding 1, because 1 is self-defined but doesn't simplify values at all).
We use the highest factor, in this case, 4.
Divide 16 by 4 and 12 by 4.
16/4 = 4
12/4 = 3
We put 4 in place of the numerator and 3 in place of the denominator.
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Answer: The last choice is correct. Edna can score 5 times as many points in the next level as in the level she has reached
Step-by-step explanation: chart of values for
x is the level y, points possible)
x y
1 5
2 25
3 125
4 625
5 3125
You can see the exponential pattern
For what it's worth, two views of the graph of the equation are attached
The point values are astronomical!