JerrinI364372 JerrinI364372
  • 25-10-2022
  • Mathematics
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rectangle rstw has diagonals RT and SW that intersect at Z. If RZ= 5x+8 and SW= 11x-3 find the value of x.

rectangle rstw has diagonals RT and SW that intersect at Z If RZ 5x8 and SW 11x3 find the value of x class=

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NaiahT563205 NaiahT563205
  • 25-10-2022

Answer:

19

Explanation:

We know that the diagonals of a rectangle are always equal, therefore RT = SW.

So if RZ = 5x + 8 and SW = 11x - 3, lets's go ahead and find x as shown below;

[tex]\begin{gathered} 2(5x+8)=11x-3 \\ 10x+16=11x-3 \\ 16+3=11x-10x \\ 19=x \\ \therefore x=19 \end{gathered}[/tex]

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