Answer: Rectangle
If you let
P = (0,0)
Q = (0,b)
R = (a,b)
S = (a,0)
you'll be able to find that
PQ is a vertical line with undefined slope
QR is a horizontal line with slope 0
so PQ and QR form a right angle as they are perpendicular lines
You'll find this with the other line pairings as well. We'll have four right angles
Answer:
t=21
Step-by-step explanation:
6(3x + 4) + 5(12-x) simplifies to
D) 13x + 84
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72
Answer:
$92.50
Step-by-step explanation:
$72 - $35 = 37
37 / 0.40 = 92.5
Answer = $92.50
