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2 years ago

Name the shapes that make up the Texas state flag. Are any of the shapes regular polygons? Explain.

Mathematics

2 answers:

soldi70 [24.7K]2 years ago

7 0

Answer: The answer is Yes.

Step-by-step explanation: The shapes that make up the Texas state flag are rectangle and octagon. Please see attached image.

We can clearly check from the figure that there are three rectangles and one octagon in the flag.

We know that in a rectangle, all the sides are not equal, only the opposite sides are equal, so this figure will not be a regular one.

But, we can check that the octagon in the flag is a regular one because all the eight sides here are equal in measurement.

Thus, there is a shape in the flag which is regular and that is an octagon present in the vertically placed rectangle at the left side of the flag.

Vesnalui [34]2 years ago

5 0

3 rectangles. 1 star. The star is regular because all sides are of equal length and all angles are equal. The rectangles aren't regular because they have unequal sides when their angles are equal. P.S This is my first time answering a question. Don't be mad if its wrong.

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Answer:

Step-by-step explanation:

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4x² - x - 1

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2 years ago

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2 years ago

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Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin

ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

Same slopes
Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + $\frac{5}{2}$ x

∴ y = $\frac{5}{2}$ x - 5

- The value of m is the coefficient of x

∴ m = $\frac{5}{2}$

∴ The slope of the given line is $\frac{5}{2}$

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = $\frac{5}{2}$

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = $\frac{5}{2}$ (3) + b

∴ -5 = $\frac{15}{2}$ + b

- Subtract $\frac{15}{2}$ from both sides

∴ b = $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x - $\frac{25}{2}$

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

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3 years ago

Which of the following equations corresponds to the graph below?

Alexus [3.1K]

Hi,
Your equation is y=-3/8x+3 because if you do rise over run you get a slope of -3/8 and the y intercept is 3.

Hope this helped!

6 0

2 years ago