Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
Answer:
He will have $276.10 available towards the down payment for his motorcycle
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

Compounded quarterly, so n = 12/4 = 3.
We have to find A.



He will have $276.10 available towards the down payment for his motorcycle
Equal number at each price?
does that mean there were an equal number of 4 dollar as 5 dollar tickets?
alrighty
so 4+5=9
450/9=50
50 four dollar tickets
50 five dollar tickets
Explanation: The base of the power in the original equation becomes the base of the log. So we have
. Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have
=
which is 2³ = 8 written in logarithmic form.