Let
x = measure of angle TAP
y = measure of angle BRE
We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say
y+y = 90
2y = 90
2y/2 = 90/2
y = 45
So angle BRE is 45 degrees. Note how 45+45 = 90.
We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees
x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135
Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees
This will be a straight line
the 2/3 is the slope of the graph and the + 1 is the intersection on the y axis
so the line will pass through y = +1 and the slope (rise / run) will be 2/3
Answer: The annual interest rate r= 8%
Step-by-step explanation:
Given: The invested amount = $500,000.
The annual interest = $40,000
The annual interest rate is given by :-
Hence, the annual interest rate r= 8%
I completed the test with the other guy's answer; it's wrong. It should be
-2,-4
-7,-6
-1,-13
25 tickets
I put the information into this equation 5+0.65x=10+0.45x
I solved the equation by first subtracting the 0.45x from both sides to get the variable on one side. I was left with 5+0.20x=10. Then I subtracted the 5 from both sides and got 0.20x=5. Finally I divided both sides by 0.20 to get the X by itself and got X=25
