Are 12/102 and 18/153 equivalent ratios?

there are 2 ways:

?=

1) try to simplify

(divide the numerator and denominator by 6) ?= (divide the numerator and denominator by 9)

2/17 = 2/17 so yes they are equivalent

2) use cross products

102x18 ?= 12x153

 1836 = 1836 so yes they are equivalent

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign