Question

Solve this problem and show all the step involved.If ad=12and ac=ay_36, find the value of y.Then find ac and DC

Answer 1

`y = 15`

`AC = 24`

`DC = 12`

Explanation:

Given

`AD = 12`

`AC = 4y - 36`

See attachment

Solving for y

From the attachment:

`AD = DC`

and

`AC = AD + DC`

Substitute DC for AD

`AC = AD + AD`

`AC = 2AD`

Substitute values for AD and AC

`4y - 36= 2*12`

`4y - 36= 24`

Collect Like Terms

`4y = 36+ 24`

`4y = 60`

Solve for y

`y = 60/4`

`y = 15`

`AC = 4y - 36`

`AC = 4 * 15 - 36`

`AC = 24`

`AD = DC`

`DC = AD`

`DC = 12`