Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula. OUTSIDE of the intercepted arc I'm adding the point E. So the major arc is arc BEG and the minor arc is arc BG. The formula then for us is ∠

. We just don't have values for the arcs yet. If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238. Around the outside of the circle is 360°. So we will use it in an expression. ArcBEG=360-(4x+238). Fitting that into our formula we have
![2x+146= \frac{1}{2}[(360-4x-238)-(4x+238)]](https://tex.z-dn.net/?f=2x%2B146%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28360-4x-238%29-%284x%2B238%29%5D%20)
. Doing all the simplifying inside there we have

and

. Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116. Combine like terms to get 12x = -408 and divide to solve for x. x = -34. Fourth choice down from the top.
Answer:20%
Step-by-step explanation:216-180=36. 36/180=.20
11183333.3/10^7 = 1.11x10^-7.
Answer:
1 / x^8
Step-by-step explanation:
We know that a^b / a^c = a^ (b-c)
x^7 / x^ 15 = x^ (7-15) = x^-8
We also that that a^-b = 1/ a^b
x^-8 = 1 / x^8
Answer:
Future Balance
$1,044
Step-by-step explanation:
Compound interest is simple- It’s the interest you earn on both your original deposit and on the interest that your money earns. Compound interest allows your savings to grow faster over time. In an account that pays interest, the earnings are typically added to the original principal at the end of every compounding period. That's often daily or monthly. Each time interest is calculated and added to the account, the larger balance results in more interest earned than before. This is what’s meant by compound interest. Note that high-interest savings accounts earn money faster than accounts with lower yields.