Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.