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rusak2 [61]
3 years ago
15

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. ​

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0

Answer:

\boxed{x=60}

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

130=70+x

Subtract 70 from both sides.

130-70=70+x-70

60=x

Drupady [299]3 years ago
5 0

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

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A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this proble
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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

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The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.

The percentage of aces is expected to be around 16.67% , or 1.2%.

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Step-by-step explanation:

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Tangent line i think please help me find x
Alex

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm

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Alice is paying her bill at a restaurant. The tax on the cost of her meal is 5%. She decides to leave a tip of 20% of the cost o
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