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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°

1 answer:

Nookie1986 [14]3 years ago

4 0

78 degrees mArc V X in the diagram

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A triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle

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The perimeter of the triangle is 15.4 units.

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

The triangle has vertices at (-1,5), (4,2), and (0,0).

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Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

<u>The distance formula is given by :</u>

⇒ $\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

<u>Distance of AB :</u>

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ $\sqrt{(4+1)^{2}+(2-5)^{2} }$

⇒ $\sqrt{5^{2}+-3^{2} }$

⇒ $\sqrt{25+9}$

⇒ $\sqrt{34}$

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∴ The length of the side AB of the triangle is 5.8 units.

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B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ $\sqrt{(0-4)^{2}+(0-2)^{2} }$

⇒ $\sqrt{16+4 }$

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<u>Distance of CA :</u>

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ $\sqrt{(-1-0)^{2}+(5-0)^{2} }$

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⇒ 15.4 units.

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