RandomPersonGF
RandomPersonGF RandomPersonGF
  • 04-01-2022
  • Mathematics
contestada

WILL GIVE BRAINLIEST. Need an answer ASAP!

The diagonals of a rectangle ABCD intersect at E. AE = x+4 and CE = 3x-12. Find BE

WILL GIVE BRAINLIEST Need an answer ASAP The diagonals of a rectangle ABCD intersect at E AE x4 and CE 3x12 Find BE class=

Respuesta :

BrainLifting
BrainLifting BrainLifting
  • 04-01-2022

Answer:

[tex]BE=12 units[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\In\ a\ rectangle\ all\ diagonals\ are\ equal\ and\ bisect\ each\ other.\\Hence,\\In\ Rectangle\ ABCD,\\AE=EC\\Hence,\\Substituting\ the\ values\ we\ get:\\x+4=3x-12\\Hence,\\-2x=-16\\x=\frac{-16}{-2}=8\\Now,\\We\ also\ know\ that,\\ AC=DB\\Hence,\\\frac{AC}{2}=\frac{DB}{2} \\Hence,\\DE=EB=AE=EC\\Hence,\\Since\ AE=BE,\\BE=x+4\\We\ already\ know\ that\ x=8.\\Hence, BE=8+4=12[/tex]

Answer Link

Otras preguntas

What are the advantages and disadvantages of globalization
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
What are the advantages and disadvantages of globalization
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
What are the advantages and disadvantages of globalization
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O