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Multiple ChoiceIf AC =3y + 13 and BD = 28 - 2y, find the value of y that makes thetrapezoid isosceles.

Multiple ChoiceIf AC 3y 13 And BD 28 2y Find The Value Of Y That Makes Thetrapezoid Isosceles class=

Sagot :

Answer:

D) y = 3

Explanation:

We were given that:

AC = 3y + 13

BD = 28 - 2y

From the diagram, for the figure to be an isosceles trapezoid, that would imply that diagonals AC & BD are congruent

[tex]\begin{gathered} AC=BD \\ 3y+13=28-2y \\ \text{Put like terms together, we have:} \\ \text{Add ''2y'' to both sides, we have:} \\ 3y+2y+13=28 \\ 5y+13=28 \\ \text{Subtract ''13'' from both sides, we have:} \\ 5y=28-13 \\ 5y=15 \\ \text{Divide both sides by ''5'', we have:} \\ y=\frac{15}{5}=3 \\ y=3 \\ \\ \therefore y=3 \end{gathered}[/tex]

The value of "Y" that makes the diagram an isosceles trapezoid is: y = 3

Therefore, the correct option is D

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