Question

What is the value of x

Answer 1

Answer:

x=4.5

Step-by-step explanation:

The triangles are similar (bases are parallel so bottom angles are equal (corresponding), hence they're similar by AA)

Since they're similar, their sides are in ratio:

(x+6)/(x+x+6)=(30-9)/(30)

(x+6)(30)=(2x+6)(21)

30x+180=42x+126

12x=54

x=4.5

Answer 2

Answer:

Assuming the other side is 30, x=12

Step-by-step explanation:

X+(X+6)=30

2x+6=30   (open the brackets by distributing the plus sign inside)

2x=24       (subtract 6 from both sides)

x=12          divide both sides by 12

This makes sense because of x is 6, and x+6 is 18, 6+18=30.