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NNADVOKAT [17]
3 years ago
9

How many sides does a regular polygon have if each exterior angle has a measure of 15 degrees? (Show work!!)

Mathematics
1 answer:
ad-work [718]3 years ago
4 0
The answer is 24 sides
because the total amount of the exterior angles of a polygon is 360.
so if each exterior angle has a measure of 15:
360 \div 15 = 24
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A shape is made of 12 right triangles of equal size each right triangle has a base of 4 centimeters and a height a 5-cm what is
mart [117]

Answer:

120\ cm^2

Step-by-step explanation:

The area (A_t) of a triangle is equal to half the product of its length (L) because of its height (h).

A_t = 0.5h*L

The base of the triangles is L = 4\ cm

The height of the triangles is h = 5\ cm

Then the area of one of the triangles is:

A_t = 0.5(4)(5)\\A_t = 10\ cm^2

The figure is formed by 12 equal triangles, then the area of the figure (A_f) is:

A_f = 12(A_t)\\A_f = 12(10)\\A_f = 120\ cm^2

3 0
3 years ago
Read 2 more answers
How do I solve 6-2x=6x-10x+4
seropon [69]
<span>6-2x=6x-10x+4
6-2x=-4x+4
Add 4x to both sides: 6+2x=4
Subtract 6 from both sides" 2x = -2
divide 2 from both sides: x=-1</span>
6 0
4 years ago
Read 2 more answers
Find Area of A regular polygon. <br> A square with a side of 5?
Daniel [21]

Area of square is

A=a^2

We have a=5 hence

A=5^2=5\cdot5=\boxed{25}

Hope this helps.

8 0
3 years ago
Solve each system by substitution​
xeze [42]

Answer:

x=2,y=5

Step-by-step explanation:

y=8x-11 ----(1)

y=-7x+19----(2)

Replace (1) in (2)

8x-11 =-7x+19

8x+7x=19+11

15x =30

x =30÷2

x =2

If x=2,then replace x=2 in (1)

y=8(2)-11

y=16-11

y=5

8 0
3 years ago
Which of the following is a linear function? (89 POINTS)HURRY PLSSSSS
Dennis_Churaev [7]
<h3>Solution:</h3>

A linear function is a straight line formed on a coordinate plane.

<u>To classify an equation as a linear function:</u>

  • It must not have any exponent in the equation.
  • If there is a fraction, the denominator of that fraction must not multiply by x.

If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.

<u>Option A - y = x³ + 1:</u>

  • This equation has an exponent in the variable x. Hence, this is a non-linear function.

<u>Option B - 5x/6 = y - 4:</u>

  • This equation has no exponents in the equation. Hence, this is a linear function and also our answer.

<u>Option C - y = 8x²</u>

  • This equation has an exponent in the term 8x². Hence, this is a non-linear function.

<u>Option D - y = 1/5x</u>

  • The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.

Hence, Option B is correct.

<u>Learn more about </u><u>linear functions</u><u>:</u> brainly.com/question/15253497

8 0
2 years ago
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