Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

MrRoyal

Answer:

[tex]y = 15[/tex]

[tex]AC = 24[/tex]

[tex]DC = 12[/tex]

Step-by-step explanation:

Given

[tex]AD = 12[/tex]

[tex]AC = 4y - 36[/tex]

See attachment

Solving for y

From the attachment:

[tex]AD = DC[/tex]

and

[tex]AC = AD + DC[/tex]

Substitute DC for AD

[tex]AC = AD + AD[/tex]

[tex]AC = 2AD[/tex]

Substitute values for AD and AC

[tex]4y - 36= 2*12[/tex]

[tex]4y - 36= 24[/tex]

Collect Like Terms

[tex]4y = 36+ 24[/tex]

[tex]4y = 60[/tex]

Solve for y

[tex]y = 60/4[/tex]

[tex]y = 15[/tex]

[tex]AC = 4y - 36[/tex]

[tex]AC = 4 * 15 - 36[/tex]

[tex]AC = 24[/tex]

[tex]AD = DC[/tex]

[tex]DC = AD[/tex]

[tex]DC = 12[/tex]

View image MrRoyal
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.