Trec is a rectangle. what is the length of et?

Answer

Find out the length of ET .

To prove

As given

TREC is a rectangle.

Thus in the rectangle each diagonal bisects the other i.e divided each other in the two equal parts .

Thus CR is divided into 2x-3 and x + 7 .

2x - 3 = x + 7

x = 10

CR = 2x-3 + x + 7

     = 2 × 10 - 3 + 10 + 7

    = 34 unit

As in the rectangles diagonals are of equal length .

CR = ET

ET = 34 unit

Therefore the value of ET is 34 units .

Option (d) is correct .

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.