HELP ASAP True or false: A sequence of rigid motions that maps a pre-image to an image must contain no fewer than two unique rigid motions for the pre-image and the image to be congruent.

This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions.

Step-by-step explanation:

A sequence of rigid motions that maps a pre-image to a congruent image can contain fewer than two unique rigid motions.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles