Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get



Multiply both sides by 2.

Isolate the variable x.


Divide both sides by 7.


Now,




Therefore, the measure of angle KLM is 113 degrees.
The cardinality of the set B is given to be 96.
<h3>What is the cardinality of a set?</h3>
This is the term that is used to refer to the number of elements that a given set can be said to contain.
This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.
Hence the total numbers excluded is 4. 100 - 4 = 96
Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.
Read more on the cardinality of a set here: brainly.com/question/23976339
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Correct answer is
A) -4(m+y)
Answer:
-5 = -5.4n
Step-by-step explanation:
- 2.4n -3 = -7.8n+2
add 2.4 to both sides
which would give you
-3 = -5.4n + 2
then you would subtract -2 from both sides
and -5 = -5.4n and this is one solution