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Lina20 [59]
3 years ago
9

What is the equation of the line that is

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

y = 1x - 3

Step-by-step explanation:

Note that the given line has slope +1.

Any line parallel to this line must also have slope +1.

Apply the slope-intercept form y = mx + b:

Inserting -3 for y, 0 for x and 1 for m, we get the y-intercept

-3 = 1(0) + b, which tells us that b = -3 and that the desired equation is

y = 1x - 3

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Step-by-step explanation:

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If a b and m∠2 = 71°, what is m∠1?
Nikolay [14]

Answer:

  71°

Step-by-step explanation:

In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.

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3 years ago
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

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3 years ago
A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo
NeTakaya
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2

To find compound probabilities, just multiply them together.

\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{2*2*2*2*2} =\frac{1}{32} = \boxed{0.031}\ in\ decimal\ form
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