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Answer:
x=6
Step-by-step explanation:
Hypotenuse is 10 because it is the opposite of the right angle
8^2+x^2=10^2
64+x^2=100
x^2=36
x=6
Answer:
-19/9
Step-by-step explanation:
First, you would plug in the numbers for y and r. Therefore, your equation should now be 5 = 9x + 24. Now you would put like terms on the same side. It now then look like -19 = 9x. You divide by 9 to get the x by itself. The answer should be x = -19/9.
Dividing 1 1/4 hrs by 5 days results in the unit rate:
1 1/4 hrs 5/4 hrs
----------- = ---------------- = 1/4 hr per day
5 days 5 days
Let's do 51 and 52.
51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.
The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.
Answer: C
52.
For the statement to be true, the exponent must be zero:
Both positive 2 and negative 2 have a square of 4.
Answer: K
By the way, usually we assume 
so the restriction that 
isn't really necessary. Think of the definition of a polynomial or the binomial expansion:
For these common equalities to work when 
we need to define
