Triangle ABE is similar to triangle ACD. Find y.

3.4

2.7

4.5

2.1

Step-by-step explanation:

∆ ABE is similar to angle ACD. This means that the ratio of the length of each side of ∆ABE to the length of the corresponding side of ∆ ACD is constant. Therefore,

AB/AC = BE/CD = AE/AD

Therefore,

5/3 = (y + 3)/y

Cross multiplying, it becomes

5 × y = 3(y + 3)

5y = 3y + 9

5y - 3y = 9

2y = 9

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2y/2 = 9/2

y = 4.5

y = 4.5.

Step-by-step explanation:

Triangles ABE and ACD are similar, so their corresponding sides are in the same ratio.

AB/AC = AE / AD

Now AD = y + ED = y + 3, so:

3/5 = y / (y + 3)

5y = 3y + 9

2y = 9

y = 4.5.

d is correct

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".