Answer:
∠RST = 40°
Explanation:
We are given that:
SQ bisects angle RST.
This means that:
∠QST = ∠QSR
2x = 3x - 10
10 = 3x - 2x
x = 10
Therefore:
∠QST = 2x = 2(10) = 20°
∠QSR = 3x - 10 = 3(10) - 10 = 30 - 10 = 20°
Note that both angles are equal.
Now, we can get ∠RST as follows:
∠RST = ∠QST + ∠QSR
∠RST = 20 + 20 = 40°
Hope this helps :)
279ft/9sec = xft/1sec
Cross multiply to get
9x = 279 divide by 9
x = 31
31 feet per second
Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54
Answer:
x = 35
y = 17.5
Step-by-step explanation:
By Central angle and its corresponding arc theorem:
x° = 360° - (175° + 150°)
x° = 360° - 325°
x° = 35°
x = 35
By inscribed angle theorem:

Answer: 95
Step-by-step explanation:
950x4 + 10.6x=4800
10.6x = 1000
x = 94.34 hours, or 95 hours approximately