Answer:
58
Step-by-step explanation:
Coins Number of Drawsnickel 32penny 54dime 13quarter 29Total Number of Draws = 32 + 54 + 13 + 29 = 128Probability of Quarter drawn = 29/128the number of times a quarter would be drawn if Venessa draws a coin 256 times = (29/128) * 256= 29 *2= 58 option B is the right answer
Answer:
(x-4)*(x+5) : x =4,-5
Step-by-step explanation:
a= 1
b= 1
c= -20
x1,2 = (-1+-(1 - (4*1*-20))^0.5)/2
x1,2 = (-1+-(1+80)^0.5)/2
x1,2 = (-1+-(81^0.5))/2
x1,2 =(-1+-9)/2
x1 = 8/2 = 4 x2 = -10/2 = -5
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)