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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
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