Answer:
x=11
Step-by-step explanation:
complimentary means the two angles add to 90. Since we already know one angle equals 68, subtract 68 from 90= 22. 2x=22. divide 22 by 2 to isolate the variable. Boom, the answer is x=11
Answer: 6
Step-by-step explanation: Gets x by itself.
This is one pathway to prove the identity.
Part 1

Part 2

Part 3

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity
in the second to last step. I broke the steps into three parts to hopefully make it more manageable.
Answer:
x=22
Step-by-step explanation:
Since the two triangles are similar we can set up two ratios...
(sorry if these numbers are wrong the picture isn't very clear)
38:15.2
We can simplify this ratio into...
2.5:1
Now we solve for x
55:x
We divide 55 by 2.5
55/2.5=22
x=22
Answer:
31
Step-by-step explanation:
16+14+1 = 31
There is a possibility that I pick out all (16) green marbles, then all (14) blue ones and the following (31-th) marble must be red