Answer:
58
Step-by-step explanation:
The triangles are congruent so you can do 180-32-90, which is equal to the angle at c
20$ divided by 8.7 gallons=$2.30
30$ divided by 12.4 gallons=$2.41
Yola got the better deal
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Y is the base and x is the exponent
In its decimal form, it says ' 64 / 100 '.
In order to change it to its lowest terms, we look to see whether the
numerator and denominator have a common factor greater than ' 1 '.
If they do, then we can divide numerator and denominator by their
common factor, and have the same fraction in lower terms.
The common factors of 64 and 100 are 1, 2, and 4 .
We could divide top and bottom by 2, but that wouldn't finish the job.
It's always best to divide them by their <u>greatest</u> common factor, and
once you do that, you're done.
Dividing the numerator and denominator both by 4,
we get the fraction in its lowest terms:
0.64 = 64/100 = <em>16/25</em>
