Triangle LMN has a perimeter of 9cm. If triangle LMN is dilated by a scale factor of 3 about a given point, what is the perimeter of triangle L'M'N

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  27 cm

Step-by-step explanation:

Dilation multiplies all linear measures by the same dilation factor. The perimeter will be 3 times that of triangle LMN.

Perimeter of L'M'N' = 3(9 cm) = 27 cm.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: