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Trava [24]
3 years ago
11

VWX and NOP are similar. If mV = 44° and mP = 66°, what is mW?

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0
VWX and NOP are similar triangles. The angle of V is equal to the angle of N, W is equal to O, X is equal to P. The total angle of a triangle is 180. The angle of V = 44. Angle of P = 66, which is just the same angle as X. So we need to find the angle or W, same angle as O.

180 =  44 + 66 + W
W = 180 - 110
W = 70 degrees.
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Find the area of the shaded region
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Answer:  21.994 cm²

Step-by-step explanation:

Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.

Formula for finding area of a circle       =  πr² where π is a constants . It has value of         22/7 or 3.142

Now area of the bigger circle                = 3.142 x 3²

                                                                  = 3.142 x 9

                                                                  = 28.278 cm²                                       Now are of the two smaller triangle        = 3.142 x 1² x 2

                                                                   = 6.284 cm².

Therefore are of the shaded region        = 28.278 - 6.284

                                                                   = 21.994 cm²

7 0
3 years ago
Solve the inequality for w. -9<−2w+3
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Step-by-step explanation:

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Astronomers measure large distances in light years. One light-year is the distance that light can travel in one year or approxim
Firlakuza [10]

Answer:

Option C =8.4672\times10^{13}

Step-by-step explanation:

Given : Astronomers measure large distances in light years. One light-year is the distance that light can travel in one year or approximately 5,880,000,000,000 miles.

Suppose a star is 14.4 light years from earth.

To find : How many miles away a star is from earth?

Solution :

In 1 light-year the distance a light can travel is = 5,880,000,000,000 miles.

                                                                   or = 5.88\times 10^{12} miles

In 14.4 lights year the distance is  =14.4\times (5.88\times10^{12})

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                                                    or =8.4672\times10^{13}

Therefore, Option C is correct - =8.4672\times10^{13}

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