3pr - 4ps + 12qs - 9qr = ?
1 answer:
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Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., .
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.
Use the 
on your calculator. Also make sure the calculator is in degree mode. You should get 23.32°
Answer:
see explanation
Step-by-step explanation:
Let ∠4 be x then ∠6 is x
∠4 and ∠6 are same side interior angles and are supplementary, thus
x + x = 180
Multiply through by 8 to clear the fraction
8x + x = 1440, that is
9x = 1440 ( divide both sides by 9 )
x = 160
Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°