Answer:
JL = 21
Step-by-step explanation:
Given that K is on line segment JL, therefore:
KL + JK = JL (according to segment addition postulate)
KL = 2x - 2
JK = 5x + 2
JL = 4x + 9
Thus:
![(2x - 2) + (5x + 2) = (4x + 9)](https://tex.z-dn.net/?f=%20%282x%20-%202%29%20%2B%20%285x%20%2B%202%29%20%3D%20%284x%20%2B%209%29%20)
Solve for x
![2x - 2 + 5x + 2 = 4x + 9](https://tex.z-dn.net/?f=%202x%20-%202%20%2B%205x%20%2B%202%20%3D%204x%20%2B%209%20)
![2x +5x - 2 + 2 = 4x + 9](https://tex.z-dn.net/?f=%202x%20%2B5x%20-%202%20%2B%202%20%3D%204x%20%2B%209%20)
![7x = 4x + 9](https://tex.z-dn.net/?f=%207x%20%3D%204x%20%2B%209%20)
Subtract 4x from both sides
![7x - 4x = 4x + 9 - 4x](https://tex.z-dn.net/?f=%207x%20-%204x%20%3D%204x%20%2B%209%20-%204x%20)
![3x = 9](https://tex.z-dn.net/?f=%203x%20%3D%209%20)
Divide both sides by 3
![\frac{3x}{3} = \frac{9}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3%7D%20%3D%20%5Cfrac%7B9%7D%7B3%7D%20)
![x = 3](https://tex.z-dn.net/?f=%20x%20%3D%203%20)
Find the numerical length of JL
![JL = 4x + 9](https://tex.z-dn.net/?f=%20JL%20%3D%204x%20%2B%209%20)
Plug in the value of x
![JL = 4(3) + 9 = 12 + 9 = 21](https://tex.z-dn.net/?f=%20JL%20%3D%204%283%29%20%2B%209%20%3D%2012%20%2B%209%20%3D%2021%20)
Answer:
36 degrees for each angle.
Step-by-step explanation:
If you divide 180 by 5 (for each point in the star) you get 36 degrees.
Answer:
8 = b - 1 + 8b
group like terms
8 + 1 = b + 8b
9 = 9b cus b standing alone me 1b
divide both side by 9
<u>9</u><u> </u> = <u>9</u><u>b</u>
9 9
b = 1
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string.