What is the value of x in both a & b?

7 and

Step-by-step explanation:

(a)

Δ ABC and Δ ADE are similar thus the ratios of corresponding sides are equal

= , substitute values

= ( cross- multiply )

4x = 2(x + 7) ← distribute

4x = 2x + 14 ( subtract 2x from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

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(b)

Δ ABC and Δ CDF are similar thus ratios of corresponding sides are equal

= , substitute values

= ( cross- multiply )

5x = 16 ( divide both sides by 5 )

x =

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.