You first have to set up the two equations. Y is equal to the total number of gallons in a tank and x is equal to the number of hours the tanks are filling.
Since the two equations both equal y I can make them equal each other. I then solved for x as you see and got -4.
Once I found my x value I now needed to find my y. You only needed to chose one equation to solve for y, so I decided to do the first one. I plugged in -4 where my x value currently was and solved for y. I got 2.
If you have any questions please comment!! Hope this helps!!
If this is the only information you are given then no. This is because the < sign means that p is less than 2. The second sign cannot be true if the first one is because the second sign says that p is less than or equal to 2.
Answer: b) the tiles are not similar because both SP:SR is 5:4 and MJ:ML is 5:2
<u>Step-by-step explanation:</u>
We are given that the tiles are rectangular which implies that they both have a 90° angle.
In order to prove similarity, We need to show that the lengths and widths are proportional.
P Q R S
J K L M
a) PQ : QR JK : LM
w=4 L=5 w=2 w=2
↓
We need Length (not width)
b) SP : SR MJ : ML
L=5 w=4 L=5 w=2
5 : 4 5 : 2
When comparing length to width they do not have the same ratio so the rectangles are not similar.
c) PQ : QR JK : KL
w=4 L=5 w=2 L=5
4 : 5 2 : 5
When comparing width to length they do not have the same ratio so the rectangles are not similar.
d) SR : ML PQ : JK
w=4 w=2 w=4 w=2
↓ ↓
We need Length (not width)
V = A*h / 3
A = 5*12 / 2 = 60 / 2 = 30 m²
h = 9 m
________________
V = 30*9 / 3
V = 10*9
V = 90 m³
, then in the first equation you have
