<span>If three sides are proportional their angles must be identical therefore they are always similar.</span>
Answer:
![PQR = 140](https://tex.z-dn.net/?f=PQR%20%3D%20140)
Step-by-step explanation:
Given
![XYZ = 2X](https://tex.z-dn.net/?f=XYZ%20%3D%202X)
![PQR = 8X - 20](https://tex.z-dn.net/?f=PQR%20%3D%208X%20-%2020)
Required
Find PQR
Since both angles are supplementary, we have:
![XYZ + PQR = 180](https://tex.z-dn.net/?f=XYZ%20%2B%20PQR%20%3D%20180)
This gives:
![2X + 8X - 20 = 180](https://tex.z-dn.net/?f=2X%20%2B%208X%20-%2020%20%3D%20180)
![10X - 20 = 180](https://tex.z-dn.net/?f=10X%20-%2020%20%3D%20180)
Collect Like Terms
![10X = 20 + 180](https://tex.z-dn.net/?f=10X%20%3D%2020%20%2B%20180)
![10X = 200](https://tex.z-dn.net/?f=10X%20%3D%20200)
Divide through by 10
![X = 20](https://tex.z-dn.net/?f=X%20%3D%2020)
Substitute 20 for X in ![PQR = 8X - 20](https://tex.z-dn.net/?f=PQR%20%3D%208X%20-%2020)
![PQR = 8 * 20 -20](https://tex.z-dn.net/?f=PQR%20%3D%208%20%2A%2020%20-20)
![PQR = 140](https://tex.z-dn.net/?f=PQR%20%3D%20140)
Answer:
y-9= -4(x+1)
Step-by-step explanation:
First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).
29% would be the answer if you are rounding up
Biker's rate is:
v = 5/0.5
v = 10 ft per sec
t = 1 min = 60 sec
d = the distance the biker travels in 1 minute
v = d/t
d = v*t
d = 10*60
d = 600 ft
The biker travels 600 feet in 1 minute