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4vir4ik [10]
3 years ago
10

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he prelmage?
O A 750
B. 45
oc 360
D. 30
Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

D. 30

Step-by-step explanation:

At the center of the polygon are twelve 30° angles - 360° / 12.If the polygon is rotated 30° the image (transformation) shall coincide with the preimage (the figure before transformation).

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Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0
2 years ago
The velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration​
larisa [96]

Answer:

accelaration =  \frac{change \: in \: veloity}{time}  \\  =  \frac{15 - 10}{5}  \\  =  \frac{5}{5}  \\  = 1 \frac{m}{ {s}^{ - 2} }

3 0
3 years ago
Read 2 more answers
One side of a rectangle is 9 millimeters shorter than six times the other side. Find the length of the longer side if we also kn
vodka [1.7K]

Given:

W(width) = (6L) - 9

L(length) = L

Equation:

2( [ 6L ] - 9) + 2 (L) = 150

= 12L - 18 + 2L = 150

= 12L + 2L = 150 + 18

=14L = 168

L = 168/14, so the length is 12. Let's check our work.

Width:  6(12) - 9 = 72 - 9 = 63

Length: 12

Since there are two lines of width and two lines of length:

2(12) + 2(63) = 24 + 126, which gives you a perimeter of 150 mm.

Hope this helped.

4 0
3 years ago
The midpoint M and one endpoint of JK are given. Find the coordinates of the other endpoint. J(7,2) and M(1,-2)
djverab [1.8K]

Step-by-step explanation:

Xj + Xk/2 = Xm

7 + Xk/2 = 1

to get rid of the bracket, multiply all two sides by the denominator.

2(7 + Xk/2) = 1(2)

7 + Xk = 2

Xk = 2 - 7

Xk = -5

Yj + Yk/2 = Ym

2 + Yk/2 = -2

to get rid of the bracket, multiply all two sides by the denominator.

2(2 + Yk/2) = -2(2)

2 + Yk = -4

Yk = -4 - 2

Yk = -6

Therefore the coordinates of point K is (-5,-6)

3 0
3 years ago
Some one help ts also says explain ur thinking
AysviL [449]

Answer:

Step-by-step explanation:

Start off by explaining that u know this(don't use these exact word though :A composite number is a positive integer that can be formed by multiplying two smaller positive integers Equivalently. A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.... I couldn't really see the whole page so this is what i could get for u.... Good luck

7 0
2 years ago
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