Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
The rest of the question is the attched figure.
It is required to find the measure of the arc CD in degrees.
as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
D. AS
Step-by-step explanation:
In this event, only one apple bar may be included in the conclusion. In the instance of AS, only one apple bar is present.
F(x) = 3x-1
g(x) = x+2
Find (f-g)(x), this means we need to subtract g from x.
(3x-1) - (x+2)
Subtract the like terms:
3x -x = 2x
-1 -2 = -3
Combine them to get 2x-3
The answer is A.
Answer:
117mph
Step-by-step explanation:
Given that
Total number of stations= 3
Total average time of journey of train = 65
total stop time at three stations = 3×2 =6 min
Total distance between stops = 115 miles
as we can see
Total time train was travelling = 65- 6 =59 min
so, average speed of train can be calculated as:
Average Speed = 
Average Speed = 
To convert this speed into miles per hour (mph) multiply the above speed by 60
Average speed = 60×1.95 =117 mph
So the average speed of train is 117mph.
