Question

answer the following​

Answer 1

Step-by-step explanation:

x+3/8x+9=x/3x+4

3x²+4x+9x+12=8x²+9x

5x²-4x-12

5x²-10x+6x-12

5x(x-2)+6(x-2)

x=2

x=-6/5

Answer 2

Answer:

As, According to Thales' Theorem's converse,

If; CD/AD=CE/EB

then, DE||AB

So, (x+3)÷(8x+9)=(x)÷(3x+4)

By cross multiplication,

(x+3)(3x+4)=(x)(8x+9)

3x²+4x+9x+12=8x²+9x

or 5x²–4x–12=0

Sum of zeroes=–4

Product =–60=–(2×2×3×5)

Pair = –10, 6

So, 5x²–10x+6x–12=0

5x(x–2)+6(x–2)=0

so, x=–6/5 or x=2

Therefore, For x=2 or

–6/5, In ∆ABC, DE||AB