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:
84°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary:
∠A = 180° -96°
∠A = 84°
Answer:
omg very. bored and ~stressed~
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
Answer:
7²
Step-by-step explanation: