Answer:
140
Step-by-step explanation:
Angles 1, 2 and 3 are in a straight line,
Straight line has 180 degrees,
∠1 = ∠3 = 20
∠1 + ∠2 + ∠3 = 180
20 + ∠2 + 20 = 180
∠2 + 40 = 180
∠2 = 180 - 40
∠2 = 140
We already got
f(x)= a(x-2)(x-3)(x-5)
We got ![a=\frac{1}{6}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B1%7D%7B6%7D)
first we multiply the parenthesis in f(x)
f(x)= a(x-2)(x-3)(x-5)
![f(x)= a(x^2-5x+6)(x-5)](https://tex.z-dn.net/?f=f%28x%29%3D%20a%28x%5E2-5x%2B6%29%28x-5%29)
![f(x) = a(x^3 - 10 x^2 + 31 x - 30)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x%5E3%20-%2010%20x%5E2%20%2B%2031%20x%20-%2030%29)
Replace the value of 'a'
![f(x) = \frac{1}{6}(x^3 - 10 x^2 + 31 x - 30)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D%28x%5E3%20-%2010%20x%5E2%20%2B%2031%20x%20-%2030%29)
Multiply 1/16 inside the parenthesis
![f(x) = \frac{1}{6}x^3 - \frac{5}{3} x^2 + \frac{31}{6} x - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B6%7Dx%5E3%20-%20%5Cfrac%7B5%7D%7B3%7D%20x%5E2%20%2B%20%5Cfrac%7B31%7D%7B6%7D%20x%20-%205)
Answer:
$9500
Step-by-step explanation:
Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760
Now, according to option b, he will get 8% commission on weekly sales.
Let. x = the amount of weekly sales.
To earn the same amount of option A, he will have to equal the 8% of x to $760
So, 8x/100= 760
Or, 8x= 76000
Or, x= 76000/8= 9,500
the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.
22. 30 degrees because line DB bisects(meaning cuts in half) angle ABC so DBC should be 30 degrees because 30+30 is 60 which is what angle ABC is.
23. 60 degrees because if we assume that it is a parallelogramand that the opposite angle are congruent.
24. 120 degrees because a quadrilatteral has sides that will equal to 360 degrees, and I said that a parallelogram will have its opposite angles congruent we take away 120 from 360 (from the previous angles ABC and BCD) we end up with 240, we divide 240 by 2 and end up with 120 degrees
25. 60 degrees. I found that angle DCB is 120 degrees so angles DCB and DCE are supplementary(add up to 180 degrees) and we subtract 120 from 180 which is 60 degrees.
26. 60 degrees vertical to angle DCE.
27. 120 degrees supplementary to DCE
Answer:
it's B ;)
Step-by-step explanation:
A line segment has two endpoints; that is, it has a starting point and an ending point, much like a dead-end street. Bisector means to divide, not just in two, but in halves, or two equal parts. Therefore, a segment bisector is a point, a line, a ray, or a line segment that bisects another line segment.