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2 years ago

What is the value of x

Mathematics

2 answers:

Maslowich2 years ago

8 0

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

gayaneshka [121]2 years ago

5 0

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.

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