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Sagot :
Answer:
x = 9 cm
create proportional equation:
[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]
[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]
[tex]\sf 9(3x+36) = 81(3x-20)[/tex]
[tex]\sf 27x+324 = 243x-1620[/tex]
[tex]\sf 27x-243x=-1620-324[/tex]
[tex]\sf -216x=-1944[/tex]
[tex]\sf x = 9[/tex]
Answer:
- x = 9
Step-by-step explanation:
Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;
- 72/9 = 56/(3x - 20)
- 8 = 56/(3x - 20)
- 3x - 20 = 56/8
- 3x - 20 = 7
- 3x = 27
- x = 9
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