SOLUTION: Find the value of x. Copy and paste link to view image.
https://ibb.co/RNc88t6
a. - 5
b. 20
c. - 1.5
d. 11.4
My answer was a.
Algebra ->
Formulas
-> SOLUTION: Find the value of x. Copy and paste link to view image.
https://ibb.co/RNc88t6
a. - 5
b. 20
c. - 1.5
d. 11.4
My answer was a.
Log On
Question 1142855: Find the value of x. Copy and paste link to view image.
https://ibb.co/RNc88t6
a. - 5
b. 20
c. - 1.5
d. 11.4
My answer was a. Answer by ikleyn(52788) (Show Source):
Your answer is INCORRECT.
To get the correct answer and the correct solution, us the
Theorem 1. The measure of the angle between a chord and a tangent line to a circle at the endpoint of the chord
is half the measure of the arc stretched by the chord.
This theorem is well known Geometry statement.
See, for example, the lesson
- The angle between a chord and a tangent line to a circle
in this site.
From the Theorem,
5x = ,
which implies
10x = 9x + 20,
x = 20 degrees. ANSWER