Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
Okay, to find length CE, your going to know the value of x. Length BC + CE = BD + DE.3x+47+x+26=27+x+10Simplify the equation to get4x+73=37+xyou can choose one of four ways to continue, but I will choose to subtract x3x+73=37Subtract 73 from both sides of the equal sign3x=-36divide by 3 on both sides of the equal sign to get the value of xx=-12Now, plug in -12 for x in length CE to get -12+26=14
That in standard form would be 12
