Answer:
![QR = 23](https://tex.z-dn.net/?f=%20QR%20%3D%2023%20)
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
![PQ = 4x - 1](https://tex.z-dn.net/?f=%20PQ%20%3D%204x%20-%201%20)
![QR = 3x - 1](https://tex.z-dn.net/?f=%20QR%20%3D%203x%20-%201%20)
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
![PQ + QR = PR](https://tex.z-dn.net/?f=%20PQ%20%2B%20QR%20%3D%20PR%20)
(substitution)
Solve for x
![4x - 1 + 3x - 1 = 54](https://tex.z-dn.net/?f=%204x%20-%201%20%2B%203x%20-%201%20%3D%2054%20)
Combine like terms
![4x + 3x - 1 - 1 = 54](https://tex.z-dn.net/?f=%204x%20%2B%203x%20-%201%20-%201%20%3D%2054%20)
![7x - 2 = 54](https://tex.z-dn.net/?f=%207x%20-%202%20%3D%2054%20)
Add 2 to both sides
![7x - 2 + 2 = 54 + 2](https://tex.z-dn.net/?f=%207x%20-%202%20%2B%202%20%3D%2054%20%2B%202%20)
![7x = 56](https://tex.z-dn.net/?f=%207x%20%3D%2056%20)
Divide both sides by 7
![\frac{7x}{7} = \frac{56}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%7D%7B7%7D%20%3D%20%5Cfrac%7B56%7D%7B7%7D%20)
![x = 8](https://tex.z-dn.net/?f=%20x%20%3D%208%20)
![QR = 3x - 1](https://tex.z-dn.net/?f=%20QR%20%3D%203x%20-%201%20)
Plug in the value of x into the equation
![QR = 3(8) - 1 = 24 - 1](https://tex.z-dn.net/?f=%20QR%20%3D%203%288%29%20-%201%20%3D%2024%20-%201%20)
![QR = 23](https://tex.z-dn.net/?f=%20QR%20%3D%2023%20)
Simon ran slower than 1 mile every 5 minutes.
Because 33 / 5.5 = 6. So he ran 1 mile every 6 minutes, not 5.
The formula for the volume of a cone is V =
![\pi r^{2} \frac{h}{3}](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D%20%20)
So the answer is 102.63
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
Answer:
The Chi and Zhang were units of length equivalent to approximately 25 centimeters (9.8 inches) and 3 meters (9.8 feet) respectively.
Step-by-step explanation: 300 centimeters if you need metric measurements.