Answer:
OC=48
RK=100
Step-by-step explanation:
We can use proportions to find both OC and RK.
![\frac{OK}{KY} =\frac{OC}{RY}](https://tex.z-dn.net/?f=%5Cfrac%7BOK%7D%7BKY%7D%20%3D%5Cfrac%7BOC%7D%7BRY%7D)
![\frac{12}{24} =\frac{OC}{96}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B24%7D%20%3D%5Cfrac%7BOC%7D%7B96%7D)
![24OC=1152](https://tex.z-dn.net/?f=24OC%3D1152)
![OC=48](https://tex.z-dn.net/?f=OC%3D48)
![\frac{KC}{RK} =\frac{OK}{KY}](https://tex.z-dn.net/?f=%5Cfrac%7BKC%7D%7BRK%7D%20%3D%5Cfrac%7BOK%7D%7BKY%7D)
![\frac{50}{RK} =\frac{12}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7BRK%7D%20%3D%5Cfrac%7B12%7D%7B24%7D)
![12RK=1200](https://tex.z-dn.net/?f=12RK%3D1200)
![RK=100](https://tex.z-dn.net/?f=RK%3D100)
Answer:
K = 97 degrees
Step-by-step explanation:
The four interior angles of a quadrilateral is always equal to 360 degrees.
127 + 88 = 215
(10x + 7) + (5x + 3) = 15x + 10
360 - 215 = 145
145 = 15x + 10
130 = 15x
9 = x
k = 10x + 7
k = 10(9) + 7
k = 97
Answer:
does not represent a linear function.
Step-by-step explanation:
For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.
Let us now calculate the slope;
![m = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
We shall take the first two points
![m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B4%20-%202%7D%7B2%20-%201%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B2%7D%7B1%7D%20%5C%5C%20m%20%3D%202)
Next we shall take the 2nd and 3rd points
![m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B8%20-%204%7D%7B3%20-%202%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B4%7D%7B1%7D%20%20%5C%5C%20m%20%3D%204)
The slope is not the same for these two different point, hence this table does not represent a linear function.
Area(a)=length(l)*width(w)
l=w+4
a=w(w+4)
a=w^2+4w
35=w^2+4w
0=w^2+4w-35
w=4.2
l=4.2+4
l=8.2
so, the width is 4.2 meters long and the length is 8.2 meters long.
Answer:
10.50
Step-by-step explanation:
first you need to figure out how much he would have for each premium on the chart it shows the premiums he would have for smoking(1) and nonsmoking(2) at 25,000.
- 9.00
- 5.50
you then multiply each by three to get 75,000, as it is 25,000 x 3.
- 27
- 16.50
subtract each and you get 10.50