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Jen wrote cross-multiplication property for her proportion:
x∙ t=u ∙y
Which of the following could her proportion? Choose all that apply.
(A) x:u=y:t
(B) x:y=u:t
(C) x:t=y:u
(D) t:y=u:x
(E) u:x=t:y
(F) x:u=y:t
(G) x:y=t:u
(H) y:x=t:u
hahah i know it's a lot!

Respuesta :

The correct answers are A, B, D, E, F, and H.

Please see the attached work for the cross multiplication work for each!
Ver imagen Mrscomputator

Answer:

The correct options are:

   (A) x:u=y:t

   (B) x:y=u:t

   (D) t:y=u:x

   (E) u:x=t:y

   (F) x:u=y:t

   (H) y:x=t:u

Step-by-step explanation:

The cross multiplication expression is given by:

              [tex]x\cdot t=u\cdot y[/tex]

  • Now, as a proportion it could also be represented by:

        [tex]\dfrac{x}{u}=\dfrac{y}{t}[/tex]

i.e.

          [tex]x:u=y:t[/tex]

  Hence, option: A is correct.

  • Also,

[tex]\dfrac{x}{y}=\dfrac{u}{t}[/tex]

             i.e.  [tex]x:y=u:t[/tex]

               Option:  B is correct.

  • Option: C is incorrect.

Since, they are in multiplication and not in proportion.

  •  Also, we may represent it by:

              [tex]\dfrac{t}{y}=\dfrac{u}{x}[/tex]

            Hence, option: D is correct.

  • [tex]Also,\\\\\dfrac{u}{x}=\dfrac{t}{y}[/tex]

           i.e.    [tex]u:x=t:y[/tex]

             Hence, option: E is correct.

Option: A and option: F is correct.

  • [tex]\dfrac{x}{u}=\dfrac{u}{t}[/tex]

            Hence, option: G is incorrect.

  • Also,

[tex]\dfrac{y}{x}=\dfrac{t}{u}[/tex]

i.e.   [tex]y:x=t:u[/tex]        

            Hence, option: H is correct.

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