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Zigmanuir [339]
3 years ago
6

Fill in the blank 9,15,24,39,63,102,165,_,432,699,1131

Mathematics
1 answer:
krok68 [10]3 years ago
7 0

Answer:

The answer is 267.

Step-by-step explanation:

When you add 2 previous number, you will get the next number :

e.g

9 + 15 = 24

15 + 24 = 39

24 + 39 = 63

63 + 102 = 165

102 + 165 = <u>2</u><u>6</u><u>7</u>

165 + 267 = 432

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Answer:

FC=25.9

Step-by-step explanation:

<u>Congruent Triangles</u>

The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.

Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

13x-16=4x+11

Solving

9x=27

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The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

13x-16=23

Or

4x+11=23

Thus

FD^2=12^2+23^2=673

Solving

FD=\sqrt{673}

\boxed{FC=25.9}

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