Question

Jen wrote cross-multiplication property for her proportion:

Answer 1

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:

              $x\cdot t=u\cdot y$

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

        $\dfrac{x}{u}=\dfrac{y}{t}$

i.e.

          $x:u=y:t$

  Hence, option: A is correct.

• Also,

$\dfrac{x}{y}=\dfrac{u}{t}$

             i.e.  $x:y=u:t$

               Option:  B is correct.

• Option: C is incorrect.

Since, they are in multiplication and not in proportion.

•  Also, we may represent it by:

              $\dfrac{t}{y}=\dfrac{u}{x}$

            Hence, option: D is correct.

• $Also,\\\\\dfrac{u}{x}=\dfrac{t}{y}$

           i.e.    $u:x=t:y$

             Hence, option: E is correct.

Option: A and option: F is correct.

• $\dfrac{x}{u}=\dfrac{u}{t}$

            Hence, option: G is incorrect.

• Also,

$\dfrac{y}{x}=\dfrac{t}{u}$

i.e.   $y:x=t:u$        

            Hence, option: H is correct.

Answer 2

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

Please see the attached work for the cross multiplication work for each!