Answer:
15
Step-by-step explanation:
The parallel lines divide the transversals proportionally.
The green length = 24 - c , then
= ( cross- multiply )
12(24 - c) = 20c ← distribute left side
288 - 12c = 20c ( add 12c to both sides )
288 = 32c ( divide both sides by 32 )
9 = c
Then
green length = 24 - 9 = 15
5(x + 30)
x + 30 represents the number of minutes per day he practices
5 is the number of days he practices
so 5(x+30) = the total number of minutes he practices in 5 days
For example, if he practices the piano for 20 minutes per day and the violin for 30 minutes per day, he practices a total of 50 minutes per day. For 5 days that would be 5 x 50 = 250 minutes in 5 days.
Plug that into the equation
5(x+30) = 5(20+30) = 5(50) = 250
Answer:
12.6 ft
Step-by-step explanation:
Trig functions relate the sides and angles in a right triangle. Here, we're given an angle and an adjacent side, and we're asked to find the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(50°) = DE/CD = (8.1 ft)/CD
Solving for CD, we find ...
CD = (8.1 ft)/cos(50°) ≈ 12.601 ft
The length of CD is about 12.6 feet.
Answer:
6.75 × 10^10
Step-by-step explanation: