Answer:
x = 51
Step-by-step explanation:
(x-3) /4 = 12
Multiply each side by 4
(x-3) /4 *4 = 12*4
x-3 = 48
Add 3 to each side
x-3+3 = 48+3
x = 51
Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:

Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that
is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find
:

This is given in radians, so
is 4 radians
D is the correct answer choice.
Answer:

Step-by-step explanation:
Given parameters:
Number of white balls = 24
Number of black balls = 16
Unknown:
The probability that white ball is drawn at random = ?
Solution:
The probability of an event is the likelihood of such an event to occur. That an event will occur has a probability of 1, it will not occur have a probability of zero.
In this problem, the total number of outcomes of drawing any ball has sample space of (24 + 16)outcomes = 40outcomes.
Probability of an event = 
Pr(white balls) =
= 
Answer:
a. 3, 100 degrees
- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.
b. 6, 100 degrees
- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.
c. 4, 80
- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees
Step-by-step explanation:
Everything was explained above, but be sure to know...
N
W E
S
- Hope that helps! Please let me know if you need further explanation.
If it is bisector then it co ordinate points is in mid way(3,-2)
and it is perpendicular so its slope m2=-1/m1
where m1 is slope of another line passes through (4,1) nd (2,-5)
m1=-5-1/2-4=3
m2==-1/3
so equation of line is
y-3= -1/3(x+2)