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2 years ago

What is the sum of the measures of the exterior angles of any triangle?

2 answers:

4 0

C. 360* If you added any sum of the measures of the exterior angles of any triangle you would always get 360*.

Hoped I helped!

Thanks Schuyler for the help! :)

iVinArrow [24]2 years ago

3 0

C, 360 degrees. Hope it helps!

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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

2 years ago

Hey can someone please help explain and answer this 1 question. There's a picture. Thank you!

zmey [24]

//You can substitute some values in to find out, for example (1, -5) and (5, -5) are good.
Using this method, you can deduce that it would be A

3 0

2 years ago

If one face of the cube has an area of 25cm calculatethe total surface area

DIA [1.3K]

there are 6 faces multiply 25 by 6

25*6=150cm^2

3 0

2 years ago

What is the axis of symmetry

zavuch27 [327]

The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetryalways passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

3 0

2 years ago

There was a sale for sweaters 40% of the actual price. Abby saved $20 for one sweater. What was the actual price?

Montano1993 [528]

Answer:

$50

Step-by-step explanation:

When finding sales price you multiply. But here we are finding the original price. So now you do the opposite, divison.

20/.4 = 50

3 0

2 years ago