Answer:
The third side must be smaller than 20 inches and greater than 4 inches

Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then

Use this rule in your case. So, if a=12 and b=8, then

Hence, you get

From these inequalities, you can state that

So, c must be smaller than 20 inches and greater than 4 inches.
So here's the solution to the problem:
Calculate the average sell:
1,700 * $25 = $42,500 (revenue)
And if the Opera House wants to increase their revenue:
The price of a ticket will be:
$25 - x (where x is the number of 1-dollar decreases)
The number of tickets in total:
1,700 + 200x
Therefore the equation is:
(1,700 +200x) * ( 25 - x ) = 55,000
We can also solve this equation, but the solutions are not whole numbers.
x 1 = 5.89 and x 2 =10.6
For x = 6 (6 times 1 - dollar decreases):
( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18
=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
Answer:
Q' (-3,4)
Step-by-step explanation:
A reflection across the x-axis would mean that only the x value of the point would change. This means that the y value would still be 4. To find the x value, just flip it to a negative. The negative of 3 is -3