<u>Answer:</u>
The correct answer option is D. 
.
<u>Step-by-step explanation:</u>
We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):
We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.
So our required slope is 
Finding the y-intercept:
Therefore, the equation of the line perpendicular to and passing through the point (3, 4) is .
Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
Answer:
Ox>5
x is less than 5
means nothing more than 5 but anything less than 5
A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8}
{2} U {1, 5, 6, 8}
{5} U {1, 2, 6, 8}
{6} U {1, 2, 5, 8}
{8} U {1, 2, 5, 6}
{1, 2} U {5, 6, 8}
{1, 5} U {2, 6, 8}
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6}
{1, 2, 5} U {6, 8}
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5}
The answer is 15 distinct pairs of disjoint non-empty subsets.
Total albums:
8 + 12 + 4 = 24
Probability of both blue = Probability of first blue x Probability of second blue
P(First blue) = 12/20
P(Second blue) = 11/19
P(Both blue) = 12/20 x 11/19
= 33/95
