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yawa3891 [41]
3 years ago
7

What is

Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer: the slope of perpendicular lines are opposite and reciprocal.

First line slope is 3/2. The slope of the second line is - 2/3

First line slope is 2. The other line slope is -1/2

Step-by-step explanation:

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In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180​
Naya [18.7K]

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

<h3>How to find the sum of angles of a polygon?</h3>

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

Read more about Angles in a Polygon at; brainly.com/question/1592456

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2 years ago
Write an equation for line L in point-slope form and slope-intercept form.
Marianna [84]

Answer:

y = -\frac{1}{4}x + c --- Slope intercept

y - y_1 = -\frac{1}{4}(x - x_1) --- Point slope

Step-by-step explanation:

Given

Perpendicular to y = 4x

Required

Determine its equation

The general form of an equation is:

y = mx + c

Where

m = slope

By comparison:

m = 4

Next, we calculate the slope of L.

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m_2 = -\frac{1}{m}

Substitute 4 for m

m_2 = -\frac{1}{4}

The equation of L in slope intercept form is: y = mx + c

Substitute -1/4 for m

y = -\frac{1}{4}x + c

In point slope form, we have:

y - y_1 = m(x - x_1)

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y - y_1 = -\frac{1}{4}(x - x_1)

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Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,

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Addition and subtraction requires that we find a common demoninator.

For example,

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The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.

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Then we add the numerators

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Then we should reduce.

\frac{16}{6} = \frac{8}{3}

Division is a little trickier because we have to flip-flop the second term and then multiply. For example: \frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}

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Aleks04 [339]

.875 .88 .98

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geniusboy [140]

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Because the grass takes up a larger area

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