Question

HELP PLEASE METAL AND FAN !!! ASAPPPPPPP

The figure below shows CB = 4, BE = 5, AB = x - 4, and DB = x + 3.


If ΔABC ~ ΔDBE, the value of x is _________

Answer 1

well looking at the problem is just ratios of corresponding sides in similar triangles.

you then your have

\[\frac{5}{4} = \frac{x+3}{x-4}\]

cross multiply and solve for x

Answer 2

Would I Multiple The Whole Equation X-4(5) ?

Answer 3

Cause I Got x=1.33

Answer 4

yep so its

5(x -4) = 4(x+3)

distribute

5x - 20 = 4x + 12

now solve for x

Answer 5

9x=32 x=3.5?

Answer 6

Wait Is It X=32

Answer 7

?

Answer 8

You can see the diagram.
Because they are similar, hence sides are proportional.
\[\frac{ x+3 }{x-4 }=\frac{ 5 }{4 }\]
cross multiply and get the solution.

Answer 9

thats the correct answer @Mature_Autumn

Answer 10

x = 32