Question

If ABC DEC, what is the value of x?

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

Answer:

Option D. x = 1

Step-by-step 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

$\frac{AB}{DE}=\frac{BC}{EC}$

Now it has been given

AB = (4x - 1)

BC = 4

EC = 4

DE = x + 2

By putting these values in the formula

$\frac{4x-1}{x+2}=\frac{4}{4}=1$

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.