Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AC = 5x − 9, what is x? Round to the nearest tenth. a6.4 b9.0 c9.4 d10.0

Sagot :

Lets draw a picture of the problem:

Since both triangles are congruent, this means that

[tex]\begin{gathered} AB=DE=41 \\ BC=EF=23 \end{gathered}[/tex]

and

[tex]AC=DF[/tex]

which means that

[tex]5x-9=36[/tex]

So, by adding 9 to both side, we have

[tex]5x=45[/tex]

and by dividing both sides by 5, we obtain

[tex]\begin{gathered} x=\frac{45}{5} \\ x=9 \end{gathered}[/tex]

Therefore, the answer is option b

View image KendonC45837
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.