What is the value of x

Step-by-step explanation:

with 45 45 90 triangles which is what ACB is. the hypotenuse can be equalized with and the two legs have a length of x

so the side length for AB and BC is 6.

and since Triangle BCD is a 30 60 90 triangle.

the side lengths that would be corresponding would have the ratio of

x, , and 2x

so if 2x=6 x=3

then the value for x or BD is 3

Hope that helps :)

the diagram shows you   triangle def with de=4, df=9 and de≠df≠ef.

the sum of the lengths of two triangles' sides are always greater than the length of the third side:

substitute sides lengths:

then 5< ef< 13 (option 3 is true).

def is a scalene triangle with all sides of different lengths (option 5 is true, option 2 is false).

answer: correct choices are 1, 3 and 5