Answer:
x = 12
Step-by-step explanation:
(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees
14x + 12
180 - 12 = 168
14x = 168
/14 | /14
x = 12
Top left angle: (8x - 1)
8*12 - 1
96 - 1
= 95
Sorry! gtg I hope this helps!
You can use a calculator and times the number by the percentage as 0. etc
e.g. 35% of 100 = 100 times 0.35 = 35
Answer:
![y=3x+2](https://tex.z-dn.net/?f=y%3D3x%2B2)
Step-by-step explanation:
To find the equation, use the slope-intercept formula:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:
![(0,2)\\y=mx+2](https://tex.z-dn.net/?f=%280%2C2%29%5C%5Cy%3Dmx%2B2)
Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:
![\frac{y(2)-y(1)}{x(2)-(x1)} =\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7By%282%29-y%281%29%7D%7Bx%282%29-%28x1%29%7D%20%3D%5Cfrac%7Brise%7D%7Brun%7D)
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
![(1(x1),5(y1))\\(0(x2),2(y2))\\\\\frac{2-5}{0-1}](https://tex.z-dn.net/?f=%281%28x1%29%2C5%28y1%29%29%5C%5C%280%28x2%29%2C2%28y2%29%29%5C%5C%5C%5C%5Cfrac%7B2-5%7D%7B0-1%7D)
Solve:
![\frac{2-5}{0-1}=\frac{-3}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B2-5%7D%7B0-1%7D%3D%5Cfrac%7B-3%7D%7B-1%7D)
Since both are negative, the result is a positive:
![\frac{-3}{-1}=\frac{3}{1} =3](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B-1%7D%3D%5Cfrac%7B3%7D%7B1%7D%20%3D3)
Insert this into the equation as m, the slope:
![y=3x+2](https://tex.z-dn.net/?f=y%3D3x%2B2)
Done.
Answer:
A
Step-by-step explanation:
Hours worked, probably because of commission or bonuses (the other ones seem to be proportional)
2.14 kilometers of road is built each day
<em><u>Solution:</u></em>
Given that road is 10 kilometers long
The crew worked for
days
To find: Kilometers of road build each day
Assume they built the same amount each day
Length of road = 10 km
number of days worked = ![4\frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3}](https://tex.z-dn.net/?f=4%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B3%20%5Ctimes%204%20%2B%202%7D%7B3%7D%20%3D%20%5Cfrac%7B14%7D%7B3%7D)
<em><u>Kilometers of road build each day is given as:</u></em>
Kilometers of road build each day = total length of road divided by number of days the crew worked
![\rightarrow \frac{10}{\frac{14}{3}}=\frac{10}{1} \times \frac{3}{14}=2.14](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7B10%7D%7B%5Cfrac%7B14%7D%7B3%7D%7D%3D%5Cfrac%7B10%7D%7B1%7D%20%5Ctimes%20%5Cfrac%7B3%7D%7B14%7D%3D2.14)
Thus 2.14 kilometers of road is built each day