A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle? 2 cm 4 cm 6 cm 8 cm

A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle?

The correct answer to the question is 4 cm

Step-by-step explanation:

The trapezoid with sides 10 cm, 12 cm, and 14 cm to look for the length of the base of the triangle formed by braking the trapezoid into  rectangle and a triangle

Please see attached diagram

The length of the trapezoid = 14 cm

The opposite parallel side = 10 cm

When the trapezoid is broken along the second end of the opposite parallel side to form a rectangle with length 10 cm by 12 cm as shown below, the base b of the triangle will then have a length of 4 cm so that

Length of base of triangle + length of base of rectangle = original length of base of trapezoid

The answer is 4 cm

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.