All sides of a triangle add up to 180 degrees. Since we know one angle is 93 degrees, we know that the top part is going to equal 180 degrees. We know that two of those measurements are 93 and 45, so we add those together to get 138. We subtract this from 180 to find the missing angle, which is 42 degrees. So, the left side of the triangle is equivalent to 45 degrees and the right side (x) is 42 degrees. 93 + 45 + 42 = 180. If it was asking for the measurements of the supplementary angles to the bottom angles of the triangle, then those would be (for 45) 135 and (for 42) 138, that way both angles and their supplements add up to 180 each. I hope this helps and that it’s right
To get a full hour we need to multiply the quantity (1/5) by 5 because this = 1. Now you would have to also multiply the (2/3) by 5.
10/3 miles or 3 and 1/3 miles
Answer:
x=-6
Step-by-step explanation:
Answer:
ratio= 120:8
8/8=1
120/8=15
the unit rate is 15:1
It means that one floor is 15 feet high.
The ratio of the height of the building to the number of floors is 120:8. The unit rate is 15:1. This means that each floor of the building is 15 feet high.
Answer:
300 mph
Step-by-step explanation:
Let's say x is the speed of the plane in still weather.
The time it takes flying against the wind is:
990 mi / (x − 30 mph)
The time it takes flying with the wind is:
990 mi / (x + 30 mph)
The total time is 6⅔ hours, so:
6⅔ hr = 990 mi / (x − 30 mph) + 990 mi / (x + 30 mph)
6⅔ = 990 / (x − 30) + 990 / (x + 30)
20/3 = 990 / (x − 30) + 990 / (x + 30)
Solving this equation for x, multiply both sides by 3 (x − 30) (x + 30):
20 (x − 30) (x + 30) = 2970 (x + 30) + 2970 (x − 30)
20 (x² − 900) = 2970x + 8910 + 2970x − 8910
20x² − 18000 = 5940x
20x² − 5940x − 18000 = 0
x² − 297x − 900 = 0
Factor:
(x − 300) (x + 3) = 0
x = 300 or -3
Since x must be positive, x = 300 mph.
