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3 years ago

Find the value of x.

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

x = 38

Step-by-step explanation:

The external angle of a circle = ½ of the difference of the measures of the intercepted arcs. Thus:

m<S = ½(arc UV - arc TW)

34 = ½[(3x - 2) - (x + 6)]

34 = ½[3x - 2 - x - 6] (distributive property)

Add like terms

34 = ½[2x - 8]

Multiply both sides by 2

2*34 = 2x - 8

68 = 2x - 8

68 + 8 = 2x - 8 + 8

76 = 2x

Divide both sides by 2

76/2 = 2x/2

38 = x

x = 38

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