courtj17
courtj17 courtj17
  • 18-07-2016
  • Mathematics
contestada

ABCD is a rectangle. Find the length of each diagonals.

AC = c over 3
BD = 4 - c

Respuesta :

dalendrk
dalendrk dalendrk
  • 18-07-2016
Diagonals are congruent

|AC| = |BD|

[tex]\dfrac{c}{3}=4-c\ \ \ |multiply\ both\ sides\ by\ 3\\\\\not3^1\cdot\dfrac{c}{\not3_1}=3(4)-3c\\\\c=12-3c\ \ \ |add\ 3c\ to\ both\ sides\\\\4c=12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{c=3}\\\\|AC|=|BD|=\dfrac{3}{3}=1[/tex]
Answer Link

Otras preguntas

what best describes the second industrial revolution changed the family structure?
Two trucks leave a warehouse at the same time. One travels due south at an average speed of 59 59 miles per hour, and the other travels due north at an average
Largest prime factor of 56
Can you help #22-25!!!!!!
which of the following is a magnet only when a current is present ? Permanent magnet Electromagnet Magnet domain Magnetic pole
Which of the following is a perfect square trinomial ?
What did the treaty of Ghent do?
What happened when the U.S. occupied japan after world war 2? Middle school
which situation would mostly likely result in the greatest change in gene frequency in a population?​
who is Nepal president Prime Minister​