Pat and his friend rent an apartment together. their total cost to move in included first months rent, last months rent and a security deposit of $600. if pat paid a total of $1,050 to move in, how much is his share of the rent each month?
a.
$375
b.
$450
c.
$525
d.
$750

a.$375

Step-by-step explanation:

In order to calculate this you just have to keep in mind the amount of months that they paid in advance in the payment, so they had 2 months of rent fully paid in advance, we will represent that with "x", so we have 2x as the number of months, and it doesn´t say that they are paying unequal amounts of money so we will assume that they are paying half each of everything, so the equation will look like this:

If total payment= $1050 each, that means that for the two of them it´d be $2100, now we know that they paid 2 months plus a security deposit of $600, we just have to clear the payment to discover how much does the rent a month cost:

So one month of rent costs $750, if you divide that by 2, you get that Pat´s share of rent a month is $375.

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1