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:
40ft
Step-by-step explanation:
Please kindly see the attached file for more explanation
Answer: 5040 7-digit numbers
Step-by-step explanation:
Permutations:
1: 1 ==> 1 permutation ==> 1 ==> 1!
12: 12, 21 ==> 2 permutations ==> 1*2 ==> 2!
123: 123, 132, 213, 231, 312, 321 ==> 6 permutations ==> 1*2*3 ==> 3!
7-digits: 7!=
1*2*3*4*5*6*7=5040 7-digit numbers
Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.
Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full perc
Answer:
214
Step-by-step explanation:
We have been given
C1 = $900
Q1 = 259
Then c2 = $1600
Q2 = 200
M = 1600-900/50
= 14
For real,
C1 = 900
C2 = 2400
Q1 = 150
Q2 = 50
1500/50 = 30
30/14 x 100
= 214
It is greater by 214 percent
