Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.

Sagot :

MrRoyal

Answer:

The side lengths are 32 units each

Step-by-step explanation:

Given

[tex]NM= 4x[/tex]

[tex]KM = 6x - 16[/tex]

Required

The side lengths and missing angles

Since JKMN is as square, then:

[tex]NM = KM[/tex] -- all sides are equal

[tex]4x = 6x - 16[/tex]

Collect like terms

[tex]4x - 6x = - 16[/tex]

[tex]-2 x = - 16[/tex]

Divide by -2

[tex]x = 8[/tex]

Substitute [tex]x = 8[/tex] in [tex]NM= 4x[/tex]

[tex]NM = 4 * 8[/tex]

[tex]NM = 32[/tex]

The missing angles can't be solved without an attachment.

However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.