The perimeter of a rectangle changes from 2.5 to 10 after a dilation. what was the scale factor of the dilation? 2 4 7.5 12.5

B. 4

Step-by-step explanation:

Let x be the scale factor of the given dilation.

We have been given that the perimeter of a rectangle changes from 2.5 to 10 after a dilation. We are asked to find the scale factor of dilation.

The scale factor multiplied by the original side gives the length of new side after dilation, so we can set an equation as:

Upon substituting our given values in above equation we will get,

Upon dividing both sides of our equation by 2.5 we will get,

Therefore, the scale factor of the given dilation is 4 and option B is the correct choice.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: