They add to 180
x+y+z=180
smallest (lets say that's x) is 36
36+y+z=180
minus 36 both sides
y+z=144
each term is the common difference away from the next term
z=y+d
y+y+d=144
and also
36+d=y so
36+d+36+d+d=144
3d+72=144
minus 72 both sides
3d=72
divide both sides by 3
d=24
common difference is 24
36+24=60
60+24=84
36+60+84=180
correct
largest angle is 84 degrees
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
You left off the choices but we don't need them.
The point slope form, a line with slope m through (a,b), is
y - b = m(x-a)
We have m=1.8 and (a,b)=(-4.5,1.4) so
Answer: y - 1.4 = 1.8(x + 4.5)
You'll have to find that one among the choices yourself.
We solve for y to get the slope intercept form
y = mx + (b - ma)
Here we have m=1.8 and (a,b)=(-4.5,1.4) so
y = 1.8x + (1.4 - 1.8(-4.5))
y = 1.8x + 9.5
