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3 years ago

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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6 0

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.

Because L is perpendicular to $y = 4x$ , the relationship between their slopes is:

$m_2 = -\frac{1}{m}$

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:

$y - y_1 = m(x - x_1)$

Substitute -1/4 for m

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

5 0

3 years ago

Evaluate

Montano1993 [528]

Step-by-step explanation:

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

$\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}$

Addition and subtraction requires that we find a common demoninator.

For example,

$\frac{6}{4} + \frac{4}{3}$

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

$\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}$

Then we add the numerators

$\frac{18+16}{12} = \frac{32}{12}$

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: $\frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}$

3 0

3 years ago

Order 7\8,0.98, 8/9 from least to greatest

Aleks04 [339]

.875 .88 .98

7/8, 9/9, .98 is your answer from least to greatest!

4 0

3 years ago

Which takes up a larger area: the flowers or the grass?

geniusboy [140]

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

7 0

3 years ago

Read 2 more answers