I need to know what rule represents the enlargement of a figure

The correct option is;

(x, y) → (215·x, 215·y)

Step-by-step explanation:

An enlargement is a form of transformation involving an alteration of the size of the shape. When a shape is to be enlarged, the center of the shape is noted and the enlargement of the dimensions of the shape from that center is by multiplication of each point by the factor of the enlargement or the scale factor.

Therefore, based on the requirement for enlargement, and given the dimension of the point from the center as (x, y) the enlargement then is (215·x, 215·y), where 215 is the scale factor.

A. (x, y) → (215x, 215y)

Step-by-step explanation:

Enlargement of a figure is the process of increasing the size of a given figure by the use of a scale. It requires the use of a scale factor that is greater than 1 to form an image. This is called dilation in transformation.

Transformation is the process of manipulating the size or orientation of a figure. To enlarge a shape, a center of enlargement is required.

Thus, the rule that signifies enlargement of a figure is ;

(x, y) → (215x, 215y)

This implies multiplying the initial coordinate x and y by a factor of 215 to produce a required size of an image.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)