The answer is C. Hope this helps
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, 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>
If x is the first of the integers then the statement is:
(x) , (x+2) , (x+4) , (x+6)
This means that the smallest is x and the largest is x + 6
so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?
Wait remember how x started as the lowest? what if x was the highest instead?
x, x-2, x-4, x-6
so:
3(x-6) + 2(x) = 293
5x = 315
x = 62.2
This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.
Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes 
Calories Burned
40 320
80 640
120 960
160 1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.
The computation shows that the value of the expression is 2.3.
<h3>How to illustrate the information?</h3>
It should be noted that the information given is illustrated as:
2.3(4.5-3 1/2)
This will be solved thus:
2.3(4.5-3 1/2)
2.3 ( 4.5 - 3.5)
= 2.3 (1)
= 2.3 × 1
= 2.3
Therefore, the value is 2.3
Learn more about computations on:
brainly.com/question/4658834
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