This is a system of equations problem. Set up the 2 equations like so: If the angles are complementary then they add up to 90, therefore, a + b = 90. We also know that a is 16 more than b. The word "is" means equals and "more" is addition. Therefore, a is 16 more than b is "a = b + 16". Now sub in that value of a (b + 16) into the first equation and solve for b. Then back-substitute to solve for a. (b + 16) + b = 90 so 2b + 16 = 90 and 2b = 74. So b = 37. If b = 37, then a + 37 = 90 and a = 53. Check yourself to make sure that 37 + 53 add up to equal 90 (they do, just get used to checking yourself for accuracy).
Slope intercept form is y=mx+b
m=slope
b=y-intercept
the slope is the rate of change of the graph, basically rise/run (change in y divided by change in x)
the y intercept is where the graph intercepts the y axis
we usually use this form because we can find the slope and find where it hits the y axis.
there are other forms that may be helpful later on, but this one is usually the easiest form to find from a graph
76 equaled to the right notation
Answer: You would divide the rectangle into half, to form two congruent triangles. When you multiply the area of 1 of the triangles, it gives you the area of both triangles, and so the area of the triangle as a whole.
Step-by-step explanation:
The area of any rectangle is:
A=xy, and a square is just a special rectangle where the two dimensions are equal. x=y=s, where s is the side length so the area of a square is:
A=s^2 we want to solve for s so
s^2=A
s=√A, and we are told that the area is 113 in^2
s=√113 in
s≈10.63 in (to nearest hundredth of an inch)
