<h3>
Answer: D) 95</h3>
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Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
Answer:
Final answer is x=90, 
Step-by-step explanation:
Given equations are:
-x-4y=37 ...(i)
-2x-4y=-53 ...(ii)
multiply (ii) by -1
2x+4y=53 ...(iii)
Add (i) and (iii)
x=90
plug value of x=90 into (i)
-x-4y=37
-90-4y=37
-4y=37+90
-4y=127

Hence final answer is x=90, 
Answer:
A: 600=1.05x
B: 600=1.06x
Step-by-step explanation:
:-)
Answer:
A and D
Step-by-step explanation:

As 40/6 form a ratio and can be expressed in a p/q form where p=40 and q=6, it is rational
As 11 forms a ratio(11:1) and can be expressed in a p/q form where p=11 and q=1, it too is rational