rakanmadi87
04.06.2020 •
Mathematics
a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the external segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?
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Ответ:
Correct option: (3) 45
Step-by-step explanation:
Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.
If we have a secant and a tangent to a circle, we can use the following property:
T^2 = E * (A + E)
If the tangent is 14 inches and the external segment is 4 inches, we have that:
14^2 = 4 * (A + 4)
196 = 4A + 16
4A = 180
A = 45
Correct option: (3)
Ответ:
5 × x = 1/4 x = 1/4 ÷ 5 x = 1/20