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Zigmanuir [339]
2 years ago
8

What is the value of n? Enter your answer in the box. n = cm

Mathematics
2 answers:
Aloiza [94]2 years ago
6 0
The Correct answer is

(n)(4) = (7)(8)

 4n = 56

 n = 14
disa [49]2 years ago
4 0

Answer:

n = 14 cm

Step-by-step explanation:

We are required to find the find the value of n.

Since, we have the lines are intersecting in the circle.

So, using the 'Intersecting Chord Theorem', which states that the product of the line segment formed by the intersecting lines are equal.

4\times n= 8\times 7

i.e. 4n=56

i.e. n = \frac{56}{4}

i.e. n = 14

Hence, the value of n is 14 cm.

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<u>Step-by-step explanation:</u>

Given: cos x = \dfrac{8}{17}, x is in Quadrant 4

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Use the double angle formula to find cos (2x):

cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}

             

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