ANSWER
The value of a and b are:

EXPLANATION
The expression given to us is

We square both sides of the equation to obtain

We now find the prime factorization of 648 to obtain,

We now compare the exponents on both sides of the equation to obtain,

Therefore the correct option is C
Answer: POQ = 125
Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>
First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.
I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.
I accidentally gave myself a one star rating, that sucks.
Answer:
3
Step-by-step explanation:



Therefore:

Well how many 12's are in 24 (forget the negative sing for a moment). Two right? Well that means multiply 4 by 2 and get 8, but where does that negative sign go? Just add it! It makes it so much easier taking it away and then putting it back. That is a trick for this problem. y=-8 while x=-24 Hoped I helped!
9^2 = 4.5^2+b^2
81=20.25+b^2
60.75=b^2
b (altitude) = approx. 7.8