Answer:
1) angle 1 is 55 degrees
2) angle 2 is 55 degrees
3) angle 3 is 70 degrees
4) angles 1 and 2 are vertical
Step-by-step explanation:
1) angle 1 = 180 - (85 + 40)
2) angle 2 has the same measure of angle 1
3) angle 3 is 180 - (55 + 55)
4) angles 1 and 2 are vertical and congruent
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
1,5,9,13,17,21,25,29..., 4n+1
in general terms of an arithmetic sequence with the first term A0 and common differences d,
Answer:
The Consumer Price Index (CPI) is a measure of the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services.
Step-by-step explanation: