(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

Step-by-step explanation:

In Triangles WUV and XZY:

$\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.$

Therefore:

$\triangle UWV \cong \triangle XZY$

To show that the triangles are similar by the SSS similarity theorem, we have:

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

As a check:

$\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25$

The correct option is A.

4 0

3 years ago

Write the following fraction as tenths in fraction and decimals.4/10

Veseljchak [2.6K]

If you wanted to write 4/10 as a decimal it would be .4

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3 years ago

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A plant is 20 inches tall. If the plant grows 2h inches each week for the next 4 weeks, and h inches for each of the 2 weeks aft

FromTheMoon [43]

A) 20+10h

You know that you have 20 inches to start with, then it will grow 2h four times, or 8h total. Then it will grow h 2 times, or 2h. You add the 20, 8h, and 2h, to get 20+10h.

Hope this helps!

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3 years ago

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