Answer:

Step-by-step explanation:
Answer:
The triangle is 50,50 80
Step-by-step explanation:
The three angles of a triangle equal 180 degrees
We only want one 80 degree angle. That means the other two angles have to be the same, since it is an isosceles triangle. Call the other angle x
x+x+80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80=180-80
2x =100
Divide by 2
2x/2=100/2
x = 50
Each of the other angles in the triangle would have to equal 50 degrees
The triangle is 50,50 80
Let's say that in the beginning he weighted x and at the end he weighted x-y, y being the number of kg he wanted to loose.
first month he lost
y/3
then he lost:
(y-y/3)/3
this is
(2/3y)/3=2/9y
explanation: ((y-y/3) is what he still needed to loose: y minus what he lost already
and then he lost
(y-2/9y-1/3y)/3+3 (the +3 is his additional 3 pounts)
(y-2/9y-1/3y)/3-3=(7/9y-3/9y)/3+3=4/27y+3
it's not just y/3 because each month he lost one third of what the needed to loose at the current time, not in totatl
and the weight at the end of the 3 months was still x-y+3, 3 pounds over his goal weight!
so: x -y/3-2/9y-4/27y-3=x-y+3
we can subtract x from both sides:
-y/3-2/9y-4/27y-3=-y+3
add everything up:
-19/27y=-y+6
which means
-19/27y=-y+6
y-6=19/27y
8/27y=6
4/27y=3
y=20.25
so... that's how much he wanted to loose, but he lost 3 less than that, so 23.25
ps. i hope I didn't make a mistake in counting, let me know if i did. In any case you know HOW to solve it now, try to do the calculations yourself to see if they're correct!
Answer: Lucy ate more pizzas because he ate more inches of pizza than Anthony.
Step-by-step explanation:
Anthony eats 2 slices of a large 18 inch pizza. Total number of slice in the 18 inch pizza is 8
The size of one slice in inches would be total length of pizza / number of slices. It becomes
18 / 8 = 2.25 inches
Anthony ate 2 ×2.25 = 4.5 inches of pizza.
Lucy eats 4 slices of a 12 inch pizza.
Total number of slice in the 12inch pizza is 8
The size of one slice in inches would be total length of pizza / number of slices. It becomes
12 / 8 = 1.5 inches
Lucy ate 4 × 1.5 = 6 inches of pizza.
Lucy ate more pizzas because he ate more inches of pizza than Anthony.