Answer: 84°
Step-by-step explanation:
Pardon my drawing, I know it;s not prefect, and I'm not sure how to draw a figure on Brainly, but this is the best I can do. For this problem, it is easier to draw it out so you can see that the angles look like. Just pretend the lines are filled in, and this is a perfect parallelogram.
A ________________ C
/ /
/ /
/ /
B /_______________/ D
As you can see, the angles given in the problem gives us a parallelogram. Since we know m∠ABD is 84° and m∠BAC is 37°, we know that m∠ACD is 84°. If you draw diagonal lines, ∠ABD and ∠ACD are vertical angles. Vertical angles are congruent. Therefore, m∠ACD is 84°.
Ans(a):
Given function is ![f(x)=\frac{3x-1}{x+4}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-1%7D%7Bx%2B4%7D)
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
![g(x)=\frac{3x-1}{x+4}+4](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B3x-1%7D%7Bx%2B4%7D%2B4)
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
![8=\frac{3x-1}{x+4}+4](https://tex.z-dn.net/?f=8%3D%5Cfrac%7B3x-1%7D%7Bx%2B4%7D%2B4)
![8-4=\frac{3x-1}{x+4}](https://tex.z-dn.net/?f=8-4%3D%5Cfrac%7B3x-1%7D%7Bx%2B4%7D)
![4=\frac{3x-1}{x+4}](https://tex.z-dn.net/?f=4%3D%5Cfrac%7B3x-1%7D%7Bx%2B4%7D)
![4(x+4)=(3x-1)](https://tex.z-dn.net/?f=4%28x%2B4%29%3D%283x-1%29)
![4x+16=3x-1](https://tex.z-dn.net/?f=4x%2B16%3D3x-1)
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
512
Step-by-step explanation: area of triangle= 1/2*base*height
It is a simple multiplication problem. If you work for 39 hours, and you get paid $8.17 for every hour you work, just multiply 8.17 by 39 to get the gross pay.
8.17 x 39 = 318.63
The gross pay is $318.6.
Hope this helps =)