12(2w-3)=6w
Distribute
24w-36=6w
Rearrange
18w=36
Divide both sides by 18
W=36/18
Final answer:
W=2
Hope I could help with the work, but give makeitnasty credit for the answer, he got it first :)
Answer:
Total= 7896 points
Step-by-step explanation:
Method 1: 658 x12 = 7896 (in most cases you'd simply use a calculator to instantly solve or could use the 2 stepped multiplication method)
Method 2: 658x10= 6580 658x2=1316
therefore, 6580+1316=7896 ( this method is extremely useful for certain values since its simpler)
The 60 represents the rate at which the train is traveling in km per hour. So, I believe the answer would be D (sorry if this is wrong, to be honest I’m just using context clues)
Given:
Arc(AB) = 78 degrees
Measure of angle CMD = 106 degrees
To find:
The measure of arc CD.
Solution:
Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.
Using secant intersection theorem, we get
![m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))](https://tex.z-dn.net/?f=m%5Cangle%20CMD%3D%5Cdfrac%7B1%7D%7B2%7D%28Arc%28AB%29%2BArc%28CD%29%29)
![106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))](https://tex.z-dn.net/?f=106%5E%5Ccirc%3D%5Cdfrac%7B1%7D%7B2%7D%2878%5E%5Ccirc%2BArc%28CD%29%29)
Multiply both sides by 2.
![212^\circ=78^\circ+Arc(CD)](https://tex.z-dn.net/?f=212%5E%5Ccirc%3D78%5E%5Ccirc%2BArc%28CD%29)
![212^\circ-78^\circ=Arc(CD)](https://tex.z-dn.net/?f=212%5E%5Ccirc-78%5E%5Ccirc%3DArc%28CD%29)
![134^\circ=Arc(CD)](https://tex.z-dn.net/?f=134%5E%5Ccirc%3DArc%28CD%29)
Therefore, the measure of arc CD is 134 degrees and the correct option is C.
Answer:
x=3
Step-by-step explanation:
-8x - 1= -25
Add 1 to each side
-8x-1+1 = -25+1
-8x = -24
Divide each side by -8
-8x/-8 = -24/-8
x = 3