Answer: 
Step-by-step explanation:
For this exercise you need to apply the Pythagorean Theorem. This is:

Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.
In this case, you can identify that:

Knowing these values, you can substitute them into
:

Now you must solve for "c":

Evaluating, you get:

To simplify the result:
- Descompose 32 into its prime factors:

- By the Product of powers property, you know that:

- Make the substitution:

- Finally, knowing that
, you get:

Hello from MrBillDoesMath!
Answer: NO solution possible!
Steps:
Let "n" be the first even number. We are told that
n + (n+2) + (n+4) + (n+6) + (n +8) = 216
The third number, the value we want, is boldfaced above.
Simplify the above equation:
5n + ( 2 + 4 + 6 + 8 ) = 216 or
5n + 20 = 216 or
5n = 196
n = 196/5 is NOT an integer value. This problem, as stated, has no solution.
Regards, MrB
Answer:
itd x=68 and y=5 I apolgize if its wrong
Answer:
D. 105 students and 150 guests
Step-by-step explanation:
105 students and $1 for each ticket is $105.(105 x 1 = 105)
150 guests and $5 for each ticket is $750.(150 x 5 =750)
$105 + $750 = $855