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PolarNik [594]
3 years ago
8

Find the value of x. Enter only your numerical value for x

Mathematics
2 answers:
butalik [34]3 years ago
6 0

Answer:

3

Step-by-step explanation:

Theorem:

If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.

In this case:

10 × (10 + 5x + 2) = 9 × (9 + 7x)

10(5x + 12) = 9(7x + 9)

50x + 120 = 63x + 81

-13x = -39

x = 3

valkas [14]3 years ago
4 0

Answer:

<u>x = 3</u>

Step-by-step explanation:

Equating the secants :

  • 10 (10 + 5x + 2) = 9 (9 + 7x)
  • 50x + 120 = 81 + 63x
  • 63x - 50x = 120 - 81
  • 13x = 39
  • x = 3
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Step-by-step explanation:

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The length of a rectangle is 6 yd longer than its width. if the perimeter of the rectangle is 44 yd , find its area.
NNADVOKAT [17]
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perimeter = 2L + 2w
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the length is 6 yards longer than the width. so L = w + 6.

plug this into the equation. 44 = 2(w+6) + 2w
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