Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

AC = BD, mẠC = (5x + 5), mBC = (x + 16)® and mBD = (4x + 27).What is mBC?22°48°D11538°А

AC BD MẠC 5x 5 MBC X 16 And MBD 4x 27What Is MBC2248D11538А class=

Sagot :

We are given two chords of equal length, this means that the arc they form are equal, this means:

[tex]\text{mAC}=\text{mBD}[/tex]

Replacing the expressions for each arc we get:

[tex]5x+5=4x+27[/tex]

From this expression we can solve for "x" first by subtracting "4x" to both sides:

[tex]5x-4x+5=27[/tex]

Now we subtract 5 to both sides:

[tex]5x-4x=27-5[/tex]

Now we add like terms:

[tex]x=22[/tex]

Now we replace this value of "x" in the expression for arc BC-:

[tex]\text{mBC}=x+16[/tex]

Replacing the value of "x":

[tex]\begin{gathered} \text{mBC}=22+16 \\ \text{mBC}=38 \end{gathered}[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.