These two figures are the image and pre-image of a dilation. find the length of the missing sides.

Hence, we have:

           x= 5/2 in.=2.5 in.

and y+1=6 in.    ( since y=5)

We know that if two triangles are similar then there corresponding sides are proportional.

i.e. according to  the figure provided to us we have:

On equating the first two equality we have:

    Hence,   x=5/2 in.

and now on equating first and third terms we have:

Hence, the length of the missing sides are:  

x=5/2 in.

and y+1=5+1=6 in.

The measure of x and y is 2.5 and 4

The two triangles shown here are similar triangles

Using the similarities theorem of the triangle;

4/2 = 5/x

Cross multiply

4x = 2 * 5

4x = 10

x = 10/4

x = 2.5

Similarly;

4/2 = y+1/2.5

2.5 * 4 = 2(y+1)

10 = 2(y+1)

5 = y+ 1

y = 5 - 1

y = 4

Hence the measure of x and y is 2.5 and 4

Learn more here: link

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0