MATHEMATICS HIGH SCHOOL

The measures of the exterior angles of a heptagon are x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°. Solve for x.

Answers

Answer 1

Answer:

The value of x in the for an heptagon with exterior angles as x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x° is 10.

What are heptagon:

Heptagons are polygons with seven sides.

The sum of exterior angles of a polygon is equals to 360 degrees.

Therefore,

x + 2x + 3x + 4x + 7x + 9x + 10x = 360°

36x = 360

divide both sides by 36

36x / 36 = 360 / 36

x = 10

Therefore, the value of x is equals to 10

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Answer 2

Answer:

Final answer:

The heptagon's exterior angles sum up to 360 degrees. Given the angles are x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°, summing and setting equal to 360 yields a value of 10 for x.

Explanation:

The subject of this question is Mathematics, specifically pertaining to angles and geometry. The question pertains to a heptagon, or a seven-sided polygon, and its exterior angles. We know that the sum of the exterior angles of any polygon is 360 degrees.

The question provides the measures of the exterior angles of a heptagon in terms of x: x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°. Therefore, to find the value of x, we need to solve the equation x + 2x + 3x + 4x + 7x + 9x + 10x = 360. That results in 36x = 360, and so .

Learn more about Angles and Geometry here:

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Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. Whatis this amount as a fraction? (1 point)

Answers

Answer:

5.875 as a fraction is 47/8.

Step-by-step explanation:

no explanation lol

Final answer:

The fractional equivalent of the decimal number 5.875 is 5 7/8. This is found by converting the decimal part of the number to a fraction (0.875 becomes 875/1000), simplifying it to the lowest form (7/8), and tacking it onto the whole number part (5).

Explanation:

The fraction equivalent to the decimal number 5.875 feet can be obtained by understanding decimal placement and fractions. A fraction represents a part of a whole and in decimal numbers, the place value after decimal point represents tenths, hundredths, thousandths, and so on. Looking at the decimal number 5.875, the three digits after the decimal represent the thousandth place.

So, convert 875 thousandths to a fraction. In fraction form, it would thus be 875/1000. However, we simplify to get the equivalent fraction by dividing both the numerator (875) and the denominator (1000) by their greatest common divisor (GCD) which is 125. Hence, 875 divided by 125 gives 7, and 1000 divided by 125 gives 8. Consequently, the fraction for 0.875 is 7/8.

Therefore, 5.875 feet is equal to 5 7/8 feet in fractional form.

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What is the volume of the cylinder below? A. 72π units³

B. 36π units³

C. 45π units³

D. 90π units³

Answers

Answer:

Step-by-step explanation:

According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5). The formula for the volume of a cylinder is:

V = pi*r^2*h.

Here, that volume is V = pi*3^2*4, or 36 pi cubic units. That's Answer B.

The volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

Further explanation:

The formula for the volume of the cylinder can be expressed as,

$\boxed{{\text{Volume}} = \pi {r^2}h}$

Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.

Given:

The radius of the cylinder is ${\text{3 units}}$ and the height of the cylinder is ${\text{4 units}}$ and the slant height is $5{\text{ units}}$

The options of the volume are given as follows.

A. ${\text{72}}\pi {\text{uni}}{{\text{t}}^3}$

B. $36\pi {\text{uni}}{{\text{t}}^3}$

C. $45\pi {\text{uni}}{{\text{t}}^3}$

D. $90\pi {\text{uni}}{{\text{t}}^3}$

Explanation:

The volume of the right cylinder can be obtained as follows,

$\begin{aligned}{\text{Volume}} &= \pi {r^2}h\n&= \pi* {\left( 3 \right)^2} * 4\n&= \pi * 9 * 4\n&= 36\pi\n\end{aligned}$

The volume of the cylinder is $36\pi {\text{ unit}}{{\text{s}}^3}.$

Option A is not correct.

Option B is correct.

Option C is not correct.

Option D is not correct.

Hence, the volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

Learn more:

Learn more about inverse of the functionbrainly.com/question/1632445.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 72, 36, 45, 90, height, radius depth.

Beth saved $30 last summer while Carmen saved $80. What is the ratio of Beth's savings to Carmen's

Answers

I believe its 3 to 8 but double check to be safe I hope this helps

Answer:

The answer is 3:8

$6.50 is what percent of $130

Answers

$\displaystyle \n p = (6.5)/(130) * 100 = (6.5* 100)/(130)= (650)/(130)= \boxed{ 5\% }$

Solve the equation=3x =15

Answers

3x = 15

x = 15/3

x = 5

Answer:

x = 5

Step-by-step explanation:

3x = 15

x = 15/3

x = 5

Please help me with this

Answers

A- 34

The angels are equal

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