Question

AABC was dilated from point A to get AADE. Find the length of AD given a scale factor of 2.D0 3O 1005O 26EB6x-8X+2

Answer 1

`AD\text{ = 10}`

Explanation;

Here, we want to get the length of AD

From the information given:

`AD\text{ = 2AB}`

Thus, mathematically:

`\begin{gathered} 6x-8\text{ = 2\lparen x+2\rparen} \\ 6x-8\text{ = 2x + 4} \\ 6x-2x\text{ = 4+8} \\ 4x\text{ = 12} \\ x\text{ = }(12)/(4) \\ x\text{ = 3} \end{gathered}`

Now, we can get AD

We simply substitute for the value of x

We have that as:

`\begin{gathered} AD\text{ = 6x-8} \\ AD\text{ = 6\lparen3\rparen -8} \\ AD\text{ = 10} \end{gathered}`