For each of the problems for example #11 tells you to find the measure of angle ABC ABH=46 HBC=120
Therefore you just add the 2 together to get 166
So for #12 its a little diffrent the line is straight so it equals 180 degrees they give you one angle so 180-95= 85
Makes sense?
Slope is a number in front of x, so slope is (-2)
y-y1=m(x-x1)
y-5= -2(x+5)
y-5= -2(x-(-5))
so y1=5, x1=-5, a point is (x1,y1), so the point is (-5,5)
First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.
Do the area of the circle as a whole minus (72/360 x radius^2) and then minus the other grey area.
Answer:
80, every 5 percent is 4 people. So every 25% is 20. 20 x 4 is 80.
Step-by-step explanation:
