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finlep [7]
3 years ago
5

You estimate you can do 12 math problems in 45 minutes. How long should it take you to do 20 math problems?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

\bf \begin{array}{ccll} problems&minutes\\ \cline{1-2} 12&45\\ 20&x \end{array}\implies \cfrac{12}{20}=\cfrac{45}{x}\implies \cfrac{3}{5}=\cfrac{45}{x}\implies 3x=225 \\\\\\ x=\cfrac{225}{3}\implies x=75

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mafiozo [28]

Note: The missing diagram is attached below for a reference.

Answer:

  • Δ TUW ≅ ΔVWU by AAS case.

Step-by-step explanation:

Given:

  • ∠T and ∠V are right angles.
  • TW║ VU

To Prove:

  • Δ TUW ≅ ΔVWU

As

∠ T ≅ ∠ V ≅ 90^{0} (Given)

Side  UW ≅

TW║ UV

and UW is a transverse

So,

∠ TWU ≅ ∠ WUV \left[alternate\:\:interior\:\:angles\right]

As\:Angle\:=\:Angle\:=\:side\:are\:equal

Thus,

  • Δ TUW ≅ ΔVWU

Keywords: proof, paragraph, logic, reason

Learn more about proof and reason from brainly.com/question/13396866

#learnwithBrainly

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Step-by-step explanation:

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