the sides of the rectangle are inreased by a scale factor of 4. The perimeter of the smaller retangle is 20 cm. What is the peri
1 answer:
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23) x = = -6.666.
24) x = = -1.7142.
25) x = = -7.4.
Step-by-step explanation:
Step 1; For =
, we cross multiply the denominators and get,
3 × (x + 4) = 12 × (x + 6),
3x + 12 = 12x + 72.
We take all the x terms to the LHS and keep the constants on the RHS.
3x - 12x = 72 - 12,
-9x = 60, x = = -6.6666.
Step 2; For =
, we cross multiply the denominators and get,
-5 × (x + 12) = 9 × (x - 4),
-5x - 60 = 9x - 36.
We take all the x terms to the LHS and keep the constants on the RHS.
-5x - 9x = -36 + 60,
-14x = 24, x = = -1.7142.
Step 3; For =
, we cross multiply the denominators and get,
6 × (x - 8) = 11 × (x - 1),
6x - 48 = 11x - 11.
We take all the x terms to the LHS and keep the constants on the RHS.
6x - 11x = -11 + 48,
-5x = 37, x = = -7.4.