Answered

IDNLearn.com offers a comprehensive solution for finding accurate answers quickly. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

Find the values of the variables and the lengths of the sides of this kite. (image attached)thank you ! :)

Find The Values Of The Variables And The Lengths Of The Sides Of This Kite Image Attachedthank You class=

Sagot :

Given:

Given that a kite having the lengths

[tex]\begin{gathered} y-4 \\ x+5 \\ 2x+5 \\ x+12 \end{gathered}[/tex]

Required:

To find the value of the variable and the lengths of the sides of the kite.

Explanation:

From the given figure

[tex]\begin{gathered} 2x+5=x+12 \\ \\ 2x-x=12-5 \\ \\ x=7 \end{gathered}[/tex]

Now the length of the sides become

[tex]\begin{gathered} 2x+5=2(7)+5 \\ =14+5 \\ =19 \end{gathered}[/tex][tex]\begin{gathered} x+12=7+12 \\ =19 \end{gathered}[/tex]

And

[tex]\begin{gathered} x+5=7+5 \\ =12 \end{gathered}[/tex]

Now the value of y is

[tex]\begin{gathered} y-4=12 \\ y=12+4 \\ y=16 \end{gathered}[/tex]

Final Answer:

The value of variable is

[tex]\begin{gathered} x=7 \\ y=16 \end{gathered}[/tex]

The sides lengths are 12,12,19 and 19.

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.