Answer:
150 D
Explanation:
In a triangle the interior angles must add up to 180, so to find angle 1 you must subtract angles 2 and 3 from 180:
180-100 = 80
80-50 = 30
So the measure of angle 1 is 30. Now because we know that a straight line is 180 degrees, we know that if there is a line connected to it, the angles that it forms must add back up to 180. So we would subtract angle 1 from 180 to get angle 4:
180-30 = 150
That is why 150 or D is your answer.
Hope this helps!
The inverse of the function is k(x) = 
You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.
k(x) = 10x + 5 ----> Switch the x and k(x)
x = 10k(x) + 5 ----> Subtract 5 from both sides
x - 5 = 10k(x) ----> Divide both sides by 10.
= k(x) ----> Now switch the order for formatting
k(x) =
And this is your new inverse function.
3/6 of a minute because an hour is much longer
Answer:
12 1/2
Step-by-step explanation:
Hi Glenishagreaves!
The easiest way to begin is to convert 2 
to an improper fraction.
2 × 2 = 4 + 1 = 5.
So 2 = 
5 × = 
Converting to a mixed number gives a final answer of 
.
Answer: c = 520
Step-by-step explanation:
f(2) = 578 means that when x = 2, the value is equal to 578. We will plug these knowns in and then solve for c.
Given:
f(x) = 4x³ + 7x² - x + c
Substitute:
578 = 4(2)³ + 7(2)² - (2) + c
Distribute:
578 = 4 * 2³ + 7 * 2² - 2 + c
Raise to the power of 3 and 2:
578 = 4 * 8 + 7 * 4 - 2 + c
Multiply:
578 = 32 + 28 - 2 + c
Add:
578 = 60 - 2 + c
Subtract:
578 = 58 + c
Subtract 58 from both sides:
520 = c
Reflexive property:
c = 520
