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sladkih [1.3K]
3 years ago
11

Find the value of x, rounded to the nearest tenth. Answer options: 3.8, 4, 2.7, 2.9

Mathematics
2 answers:
Masteriza [31]3 years ago
4 0

Answer:

4

Step-by-step explanation:

If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.

Thus from the figure,

we can deduce that:

8×3=6×x

collecting the like terms together we get:

24=6x

x=4

Zinaida [17]3 years ago
4 0

Answer:

x =4

Step-by-step explanation:

Refer the attached figure:

We will use Intersecting secants theorem

Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. a\times b = c \times d(refer the attached figure)

So, using this theorem

x \times 6 = 3 \times 8

x = \frac{24}{6}

x = 4

Hence the value of x is 4.

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