Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
The answer would be A. Make sure you also use BEDMAAS, and take care of the brackets first
IN ORDER TO FIND THE ANSWER:
Add up two of the values. If they are greater than the third, the lengths can make up a triangle.
3 + 9 = 12
12 > 14? No
3 + 5 = 8
8 > 7? Yes
1 + 2 = 3
3 > 3? No
4 + 4 = 8
8 > 8? No
The answer would be B.
8/12 in simplest form is 2/3.
