Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,
![m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ](https://tex.z-dn.net/?f=m%5Cangle%20LPM%3D%5Cdfrac%7Bm%5Cwidehat%7BLM%7D-m%5Cwidehat%7BWK%7D%7D2%5Cimpliesm%5Cangle%20LPM%3D48%5E%5Ccirc)
The angles in any triangle add to 180 degrees in measure, and
and
, so that
![m\angle MLK+m\angle LPM+m\angle LMP=180^\circ](https://tex.z-dn.net/?f=m%5Cangle%20MLK%2Bm%5Cangle%20LPM%2Bm%5Cangle%20LMP%3D180%5E%5Ccirc)
![\implies\boxed{m\angle LMW=67^\circ}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7Bm%5Cangle%20LMW%3D67%5E%5Ccirc%7D)
x+15
depends on the value of x
He will need to save up for 12 weeks because he is getting 2 dollars a week.
It says after 3 weeks he saved 6, so divide six by three and the answer meaning he makes 2 a week. Next divide 24 by 2 and you get 12.
B 0.05 since the thousandth digit is higher than 5, it needs to be rounded up.