The answer is 2/3 for a fraction and the decimal number is 0.6666666667
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.
Given:
$184500 are to be divided between 2 people.
One person has 80% of what the other person has.
To find:
The amount each one receive in $.
Solution:
Let $x be the amount received by first person. Then,
Amount received by the second person = 80% of x
= 0.80x
Total amount = Amount received by first person + by second person
=
=
Total amount is 184500. So,



So, the amount received by the first person is $102,500.


So, the amount received by the second person is $82,000.
Answer:
-20 + 30x
Step-by-step explanation:
-10(1) = -10
-10(-3x) = 30x
new equation
-10 + 30x -10
-10 + -10 = -20
-20 + 30x