A flower bed in the corner of your yard is in the shape of a right triangle. The perpendicular sides of the bed measure 10 feet
1 answer:
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Answer:
(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.
Step-by-step explanation:
In Triangles WUV and XZY:
Therefore:
To show that the triangles are similar by the SSS similarity theorem, we have:
As a check:
The correct option is A.
Answer:
Step-by-step explanation:
So we have the expression:
To simplify, simply combine the like terms. Therefore:
Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:
Now, factor out a y from the three terms:
Do all the operations inside the parenthesis:
And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!