Bonekittyidn
Answered

IDNLearn.com offers a user-friendly platform for finding and sharing answers. Discover comprehensive answers to your questions from our community of experienced professionals.

PQRS is a rhombus. Find QR.
Will give points!!

PQRS Is A Rhombus Find QR Will Give Points class=

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏxidn

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, all sides of a Rhombus are equal to each other ~ so we can conclude that :

[tex]\qquad \sf  \dashrightarrow \:4x - 16 = 2x + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x - 2x = 6 + 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 22[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 22 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 11[/tex]

Now, plug in the value of x in any equation to get the side length of rhombus ~

[tex]\qquad \sf  \dashrightarrow \:2x + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(11) + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:22 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:28 \: \: units[/tex]

Side PS = Side QR = 28 units

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.