Explain why the ratios 5: 7 and 14: 15 are not equivalent

See below.

Step-by-step explanation:

Ratios work like fractions. First we write the two ratios as fractions.

5/7 and 14/15

We can find a common denominator for these two ratios.

The LCD of the fractions is 7 * 15 = 105

Since 105/7 = 15, we multiply 15 * 5 = 75 to find the numerator.

5/7 = 75/105

Since 105/15 = 7, we multiply 7 * 14 = 98 to find the numerator.

14/15 = 98/105

75/105 is not equal to 98/105, so 5/7 is not equal to 98/105

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.