Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find the value of x, y, and z in the rhombus below.

Find The Value Of X Y And Z In The Rhombus Below class=

Sagot :

Solution:

It should be noted:

  • Opposite sides of a rhombus are always equal.
  • Opposite angles of a rhombus are always equal.

Thus:

  • (-y - 10) = 90°
  • 3z - 3 = 90°
  • 4x - 2 = 90°

Finding x:

  • 4x - 2 = 90°
  • => 4x = 90 + 2
  • => 4x = 92
  • => x = 23

Finding y:

  • (-y - 10) = 90°
  • => -y - 10 = 90°
  • => -y = 100
  • => y = -100

Finding z:

  • 3z - 3 = 90°
  • => 3z = 90 + 3
  • => 3z = 93
  • => z = 31

Opposite angles are equal

[tex]\\ \rm\hookrightarrow 90=-y-10[/tex]

[tex]\\ \rm\hookrightarrow -y=90+10[/tex]

[tex]\\ \rm\hookrightarrow y=-100[/tex]

And consecutive angles have some 180

  • So all angles are of 90°

[tex]\\ \rm\hookrightarrow 3z-3=90[/tex]

[tex]\\ \rm\hookrightarrow 3z=93[/tex]

[tex]\\ \rm\hookrightarrow z=31[/tex]

And

[tex]\\ \rm\hookrightarrow 4x-2=90[/tex]

[tex]\\ \rm\hookrightarrow 4x=92[/tex]

[tex]\\ \rm\hookrightarrow 23[/tex]

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.