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

Answer:

$y = 15$

$AC = 24$

$DC = 12$

Step-by-step 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

$y = 60/4$

$y = 15$

$AC = 4y - 36$

$AC = 4 * 15 - 36$

$AC = 24$

$AD = DC$

$DC = AD$

$DC = 12$