A=2, b=1, c=0.25. The second one is b
Easy Peasy Lemon Squeezy.
it's difficult because you are looking too hard. think simply. why does it tell you that angle is 40°?
Because if you follow the arrow back to where it starts you will see that exact same angle.
so now you know 1 (not m° or n°) angle inside the triangle is 40° and a complete triangle is 180°.
you also know a straight line has 180° on each side. and the line going from m° to n° splits that in half. meaning there is 90° to the right of it and 90° to the left of it. which means n° must equal 90°.
now you know you have 1 angle inside the triangle with 40° and n°=90° now you just need to find how much m° is.
add 40°+90° then Subtract from 180° to get m°.
180°-130°=50°
m°=50°
It is helpful to know several forms of the equation of a line. One that is often overlooked is the intercept form.
.. x/(x-intercept) +y/(y-intercept) = 1
The boundary conditions for your inequalities can be written as the lines
.. x/20 +y/20 = 1
.. x/24 +y/15 = 1
The first inequality will be bounded by the line that has x=20 and y=20 as its x- and y-intercepts. The second inequality will be bounded by the line with x=24 and y=15 as its x- and y-intercepts. Since the inequality conditions include the "or equal to" case, the graphed boundary line will be solid, not dashed. (All but the first graph have these lines properly shown.)
The region shaded for each inequality will be the half-plane (or its portion in the first quadrant) where the x- and y-values make the inequality true. For this problem, that is values of x and y to the left/below the line in both cases. Graph (c) shows where these "feasible regions" overlap, so is the correct choice.
The answer is 1 and 28 over 99. If you need an explanation feel free to let me know. Have a nice day. : )
Step-by-step explanation:
use the midpoint formula
-3+-7/2, 8+-6/2
(-5, 1)
