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>
Answer:
d
Step-by-step explanation:
Because it is asking for the amount of times and the dots land in 1,2,3,4,5,6 hope this helps :D
Answer:
Step-by-step explanation:
y = mx + b
we can see the slope is down hill, so it's negative
when the X is zero then it's 2
b = 2
slope is rise over run 2/3
y = -2/3x + 2
the slope is -2/3 (note the negative)
the y intercept is 2
7g + 3g - 10 + 3 = 43
(first combine likes terms)
10g - 7 = 43
(then add 7 to both sides)
10g - 7 = 43
+7 +7
10g = 50
(then divide by 10 to get what g is equal to)
10g = 50
/10 /10
g = 5
We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30