1 = 32
2 = 148
3 = 32
4 = 148
5 = 32
6 = 148
7 = 32
8 = 148
F(x) = 20x+300
you sub in the x values (120 hours and 100 hours) for each equation
the only one they both work for is the last one
f(x) = 20x + 300
f(100) = (20 * 100) + 300 = 2000 + 300 = 2300
f(120) = (20 * 120) + 300 = 2400 + 300 = 2700
m=6
this is because m=n=6 since the triangle is an equilateral triangle
hope it helps:)))
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
They would be congruent by the side side side (s-s-s) theorem.
They are BOTH right triangles.
You have one triangle with legs = 5 and 12, by the Pythagorean Theorem, the hypotenuse would be 13.
In the other triangle, you have a leg = 12 and hypotenuse = 13. By the Pythagorean Theorem, the other leg would be 5.
So, you have 2 triangles with sides of 5, 12 and 13 and they are congruent by the (s-s-s) theorem.
