Answer:
The measure of angle LMW is 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc MW
we know that
The inscribed angle measures half that of the arc comprising
so
![m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK]](https://tex.z-dn.net/?f=m%5Cangle%20MLK%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20MW%2Barc%5C%20WK%5D)
substitute the given values
![65\°=\frac{1}{2}[arc\ MW+68\°]](https://tex.z-dn.net/?f=65%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20MW%2B68%5C%C2%B0%5D)
![130\°=[arc\ MW+68\°]](https://tex.z-dn.net/?f=130%5C%C2%B0%3D%5Barc%5C%20MW%2B68%5C%C2%B0%5D)
step 2
Find the measure of arc LK
we know that
-----> by complete circle
substitute the given values
step 3
Find the measure of angle LMW
we know that
The inscribed angle measures half that of the arc comprising
so
![m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK]](https://tex.z-dn.net/?f=m%5Cangle%20LMW%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20LK%2Barc%5C%20WK%5D)
substitute the given values
![m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°](https://tex.z-dn.net/?f=m%5Cangle%20LMW%3D%5Cfrac%7B1%7D%7B2%7D%5B66%5C%C2%B0%2B68%5C%C2%B0%5D%3D67%5C%C2%B0)
he will change his oil 16 times because 160,000 divided by 10,000 equals 16
Answer:
Answer is D on edge
Step-by-step explanation:
Answer:
The answer is 49.9
Step-by-step explanation:
499/10==49.9
Hope this helps
Answer:
x = -6 x=4
Step-by-step explanation:
x^ 2 + 2 x = 24
Subtract 24 from each side
x ^2 + 2 x-24 = 24-24
x^2 +2x -24 = 0
Factor
What 2 numbers multiply to -24 and add to 2
6*-4 = -24
6+-4 = -2
(x+6) (x-4) =0
Using the zero product property
x+6 =0 x -4=0
x+6-6=0-6 x-4+4=0+4
x = -6 x=4
