Answer: tan^2ø
(i’m gonna use ø as theta because i can’t find it)
explanation:
sin^2ø-1=cos^2ø because of one of the pythagorean identities
sin^2ø/cos^2ø is tan^2ø because sin/cos is tan- opposite/hypotenuse divided by adjacent/hypotenuse is opposite/adjacent
hope that helps- you can comment if you need any more explanation :)
Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.
The least common multiple of these three numbers is

and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.
Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:



The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with

(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)
60 dollars, because each movie ticket cost 12$.
Hope this helps, your welcome :)
Answer:
x = 16
Step-by-step explanation:
Verticle angles are always congruent, so:
(8x + 15) = 143
Now, we can solve to isolate x:
8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)
8x/8 = 128/8 (divide both sides by 8)
x = 16
You can always plug in the value of x to the original equation to check your answer:
8(16) + 15 = 143