Given the radius r and the tangent line AB, the length of the line OA is 24 units
<h3>How to determine the length OA?</h3>
The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
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The sign would be negative because there is an odd number of negatives. If there were an even number of negatives it would be positive.
Multiply -5 by -1
The answer would be -5/2
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
= 
( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
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