Total measure is 180
x is 2nd and y is 3rd angle
2nd is 4 times 3rd angle
x=4y
total is 180
20+x+y=180
x=4y
20+4y+y=180
20+5y=180
minus 20 both sides
5y=160
divide by 5
y=32
third angle is 32 degrees
Answer:
$551
Step-by-step explanation:
Given the amount of profit, y, made by the company, is related to the selling price of each widget, x, by the equation y=-x^2+62x-410
The company make the maximum profit at when dy/dx = 0
dy/dx = -2x + 62
Since dy/dx = 0
0 = -2x + 62
2x = 62
x = 62/2
x = 31
substitute x = 31 into the expression y=-x^2+62x-410
y=-x^2+62x-410
y=-31^2+62(31)-410
y = -961+1922-410
y = 551
Hence the maximum profit the company can make is $551
Answer:
A reasonable estimate of the probability is equal to 
or 
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
In this problem we have
substitute
Convert to percentage
Answer:
Step-by-step explanation:
<u>The slopes are:</u>
<u>Ordering from the greatest to the least by absolute value:</u>
<u>Correct choice is:</u>
