Question

If ABC DEC, what is the value of x?

x = 8

x = 5

x = 4

x = 1

x = 2

Answer 1

4x-1 x + 2
4(4)-1 (4)+ 2 4 can not be the answer
16-1 =6
=15

4x-1 x + 2
4(5)-1 (5)+ 2 5 can not be the answer
20-1 =7
=19


4x-1 x + 2
4(1)-1 (1)+ 2 X= 1 is the answer!!!
4 - 1 1 + 2
=3 =3

Answer 2

Option D. x = 1

Explanation:

If the two triangles Δ ABC and ΔDEC are similar then there corresponding sides will be in the same ratio.

Now using this theorem in these triangles

`(AB)/(DE)=(BC)/(EC)`

Now it has been given

AB = (4x - 1)

BC = 4

EC = 4

DE = x + 2

By putting these values in the formula

`(4x-1)/(x+2)=(4)/(4)=1`

We cross multiply on both the sides

(4x - 1) = (x + 2)

4x - x = 1 + 2

3x = 3

x = 1

Option D. x = 1 is the answer.