The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y
Hope this helps!
Answer:
Clayton's average points per game is 10
Step-by-step explanation:
To find an average add all the numbers and divide the sum by the amount of numbers added.
In this case, 10 + 14 + 6 = 30. 
= 10
Hope this helps!
-MoCKEry
Answer:
4
Step-by-step explanation:
48 divided by 12 is 4 simple division
Answer:
The Time period of the Amount is 5 years 3 days .
Step-by-step explanation:
Given as :
The principal = p = Rs 9300
The annual rate of interest = r = 13%
The Total amount after t years = A = Rs 17,763
Let The time period = t years
<u>From Compound Interest method </u>
Amount = principal × 
Or, A = p × 
Or, Rs 17,763 = Rs 9300 × 
Or, 
= 
or, 1.91 =
Taking Log both side
1.91 = ( )
or, 0.2810 = t × 1.13
or, 0.2810 = t × 0.0530
∴ t - 
I.e t = 5.30 years
So, The time period = t = 5 years 3 days
Hence The Time period of the Amount is 5 years 3 days . Answer
Answer: p < 24
Step-by-step explanation: I'm assuming you mean solving for P
1. We want to get p alone and the first step would be to subtract 4 from both side which will give us: ⅔p < 16
2. Next step would to be multiplying by 3 from both sides and doing this will cancel out the 3 in the denominator giving you: 2p < 48
3. Now we have to divide both sides by 2 and we are done which gives us:
<u>p < 24</u>
<u></u>
Don't forget if we were to be dividing by a negative the sign would flip
(for example: -2p < 6 = p > 3) this isn't used in this problem but just a reminder if you see this in future problems
