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natka813 [3]
3 years ago
5

Two alternate exterior angles are formed by a transversal through two parallel lines. If one of these alternate exterior angles

has an angle measure of 5x-21 , and the other angle has a measure of 2x+12 , then what is the sum of their angle measures?
Physics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

SUM = 114+66= 180

Explanation:

The sum of the two exterior angles is 180° because the two exterior angles are lying on a straight line and straight line is 180°.

So,

(5x-21)+(2x+12) = 180°

5x-21+2x+12 = 180

5x+ 2x -21 +12 = 180

7x - 9 = 180

7x = 189

x = 189/7 = 27

So

5x-21 = (5*27) - 21 = 135 - 21 = 114

 2x+12 = 2 * 27 + 12 = 54+12 = 66

SUM = 114+66= 180      

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4.5 billion km, the average separation between the sun and Neptune (report answer in hours). How long does it take light to trav
Liula [17]

Answer:

t = 4.17 hours

Explanation:

given,

The distance between Sun and Neptune, d = 4.5 billion Km

                                                                         = 4.5 x 10⁹ Km

                                                                          = 4.5 x 10¹¹ m

The velocity of light, c = 3 x 10⁸ m/s

The velocity is always equal to displacement by the time.

                                           <em>V = d / t    m/s</em>

∴                                           t = d / V

                                               = 4.5 x 10¹¹ m / 3 x 10⁸ m/s

                                               = 15,000 s

                                               = 4.17 h

Hence, the time taken by the light rays to reach the Neptune is, t = 4.17 h

4 0
2 years ago
One end of a metal rod is in contact with a thermal reservoir at 745. K, and the other end is in contact with a thermal reservoi
Masteriza [31]

Answer:

a)S_1=-9.65}\ J/K

b)S_2=71.18\ J/K

c) 0 J/K

d)S= 61.53 J/K

Explanation:

Given that

T₁ = 745 K

T₂ = 101 K

Q= 7190 J

a)

The entropy change of reservoir 745 K

S_1=-\dfrac{7190}{745}\ J/K

Negative sign because heat is leaving.

S_1=-9.65}\ J/K

b)

The entropy change of reservoir 101 K

S_2=\dfrac{7190}{101}\ J/K

S_2=71.18\ J/K

c)

The entropy change of the rod will be zero.

d)

The entropy change of the system

S= S₁ + S₂

S = 71.18 - 9.65 J/K

S= 61.53 J/K

3 0
3 years ago
Consider electromagnetic waves in free space. What is the wavelength of a wave that has the following frequencies? (a) 4.10 x 10
navik [9.2K]

Explanation:

To find the answer use the equation speed of light=wavelength multiplied by frequency (c=lambda*f) by substituting the value for the frequency the the speed of light

7 0
3 years ago
At which temperature does the motion of atoms and molecules stop?<br> 0°C<br> 0C<br> 0°K<br> 0K
anastassius [24]

Answer: 0K

Explanation:

Absolute 0 (0K) is the point where nothing could be colder and no heat energy remains in a substance.

7 0
3 years ago
You can only score 1 point when shooting a free throw. Group of answer choices True False
emmainna [20.7K]

Answer:

2 points

Explanation:

4 0
2 years ago
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