Option A:

Solution:
The image of the triangle is attached below.
Given data:

Using trigonometric ratio formulas,


So, MN = 19 and LM = 20
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.



Subtract 361 from both sides,
39 = LN²
Taking square root on both sides,





Hence option A is the correct answer.
Answer:
Step-by-step explanation:
If you would like to write the following in the math expression, you can do this using these steps:
a number ... n
eight less than four times a number ... 4 * n - 8
is less than 56 ... < 56
4 * n - 8 < 56
4 * n < 56 + 8
4 * n < 64 /4
n < 64 / 4
n < 16
The possible values of that number are less than 16.
Answer: 13:15
Step-by-step explanation:
A = 121, Vertical Angles Theorem
B = 59, Supplementary Angles Theorem
C = 59, Vertical Angles Theorem
D = 55, Alternate Interior Angles Theorem
E = 4, sum of all angles in a triangle is 180
F = 73, sum of all angles in a triangle is 180
G = 73, Alternate Interior Angles Theorem
H = 48, Alternate Interior Angles Theorem
I = 4, Alternate Interior Angles Theorem