Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.
Anyway, it means that the area is given by
Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:
The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:
So, the area is
U first start of with writing the numbers from small to greatest so it will be 45,53,53,54,60,62,63,67,68 after that your min will be your smallest, 45 and your Max is 68 than for you mid you start off at both ends with your finger ( if needed) to get your middle which in this case, it’s 60. Now for your Q1 u do the exact same thing for mid but instead of you start from 45 to 60 which gets u to 53 as ur Q1. Finally for your Q3 you you starting off at 60 and ending at 68 and doing the same thing again ur Q3 will be 63.
Answer:
Yes
Step-by-step explanation:
The angles are identical, so they are congruent.
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Answer:
1 cup
Step-by-step explanation:
the recipe calls for one cup of water per two cups of dish soap, so if she uses two cups of dish soap she should use one cup of water and one tablespoon of corn syrup.
Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
