moneyteamcam
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Given the figure below, find EF if CA = (6n) and EF = (n + 8)

Given The Figure Below Find EF If CA 6n And EF N 8 class=

Sagot :

MrRoyal

Answer:

[tex]EF = 12[/tex]

Step-by-step explanation:

Given

[tex]CA =6n[/tex]

[tex]EF= n + 8[/tex]

Required

Find CN

From the attachment:

[tex]EF = CD\ and\ CD = DA[/tex]

Where

[tex]CA = CD + DA[/tex]

This means that:

[tex]CA = CD + CD[/tex]

[tex]CA = 2CD[/tex]

or

[tex]CA = 2*EF[/tex]

This gives:

[tex]6n = 2*(n+8)[/tex]

Open bracket

[tex]6n = 2n+16[/tex]

Collect anf simplify like terms

[tex]4n = 16[/tex]

[tex]n= 4[/tex]

So:

[tex]EF= n + 8[/tex]

[tex]EF = 4 + 8[/tex]

[tex]EF = 12[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.