almarriah348 almarriah348
  • 21-03-2021
  • Mathematics
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Find the value of x. The diagram is not to scale

Find the value of x The diagram is not to scale class=

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nuuk nuuk
  • 26-03-2021

Answer:B-70

Step-by-step explanation:

from the figure, In [tex]\triangle ABC\ \text{and}\ \triangle ADE[/tex]

[tex]\Rightarrow \dfrac{45}{45}=\dfrac{24}{24}\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}[/tex]

[tex]\therefore \text{two triangles are similar}[/tex]

Thus we can write

[tex]\Rightarrow \dfrac{35}{x}=\dfrac{45}{45+45}\\\\\Rightarrow x=35\times \dfrac{90}{45}=35\times 2=70[/tex]

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