paigemonahan paigemonahan
  • 26-01-2022
  • Mathematics
contestada

Find the length of the diagonals of rectangle QRST given the following information.

QS = 4x + 6

RT = 6x - 4

Find the length of the diagonals of rectangle QRST given the following information QS 4x 6 RT 6x 4 class=

Respuesta :

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dfghjkldsertyuio dfghjkldsertyuio
  • 26-01-2022

Answer:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

Step-by-step explanation:

Answer Link
Аноним Аноним
  • 26-01-2022

Diagonals of rectangle are equal

[tex]\\ \tt\longmapsto 4x+6=6x-4[/tex]

[tex]\\ \tt\longmapsto 4x-6x=-4-6[/tex]

[tex]\\ \tt\longmapsto -2x=-10[/tex]

[tex]\\ \tt\longmapsto x=5[/tex]

  • QS=RT=4(5)+6=26units[/tex]
Answer Link

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