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o-na [289]
3 years ago
6

The figure consists of a tangent and a secant to the circle. Solve for x.

Mathematics
2 answers:
zavuch27 [327]3 years ago
6 0
By the <span>tangent-secant theorem:

x</span>² = 5(5+12) = 5 * 17 = 85
x = √85 ≈ 9.2
AVprozaik [17]3 years ago
6 0

Answer:

9.2

Step-by-step explanation:

We are given that a figure in which a tangent and a secant to the circle.

We have to find the value of x.

Length of tangent segment=x

Length of secant segment=12 +5=17 units

Length of external segment=5 units

We know that secant-tangent theorem

It states that product of length of secant segment and its external segment is equal to square of length of tangent segment.

x^2=17\times 5=85

x=\sqrt{85}=9.2 units

Hence, the value of x=9.2

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