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Fynjy0 [20]
3 years ago
10

1. Find the value of x in the figure below. Show all steps. (Left)

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0
I hope this helps you

Colt1911 [192]3 years ago
4 0

Answer:

1). x = 43

2). x = 15

Step-by-step explanation:

1. By the theorem of secants and intercepted arcs,

angle inscribed by the secant and tangent = \frac{1}{2}(\text{Difference of arcs}

52 = \frac{1}{2}(190-2x)

52×2 = (190 - 2x)

- 2x = 104 - 190

- 2x = - 86°

x = \frac{86}{2}=43

2. By the theorem of two intersecting chords inside a circle,

(5x - 6) = \frac{1}{2}(101+37)

5x - 6 = \frac{138}{2}=69

5x = 69 + 6

5x = 75

x = \frac{75}{5}

x = 15

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