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const2013 [10]
3 years ago
14

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V an

d secant Y W intersects the circle at point X.
In the diagram of circle C, m∠VWX is 43°. What is mArc V X?

39°
41°
78°
82°
Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0
78 degrees mArc V X in the diagram
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Please help me with this question!
Alina [70]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠1 = 180° - (72 + 57)° = 180° - 129° = 51°

The right angle at the left vertex is composed of 72° and ∠2, thus

∠2 = 90° - 72° = 18°

57° and ∠3 form a straight angle and are supplementary, thus

∠3 = 180° - 57° = 123°

∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle

∠4 = 180° - (18 + 123)° = 180° - 141° = 39°

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Answer:

A

Step-by-step explanation:

We take a look at this expression: 49x^2-9 and notice that both terms are square numbers. 49x^2=(7x)^2 and 9=3^2.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares a^2-b^2, it can always be factored into (a+b)(a-b).

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