ame77
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
3 \sqrt{10}310​
and y=
2 \sqrt{10}210​
but I'm not sure how to get there...​


50 POINTS Please Help Thank You So Much Image Attached The Polygons Are Similar Find The Values Of The VariablesI Know From The Answer Key That The Answers Are class=

Sagot :

Answer and Step-by-step explanation:

These are right triangles, and the second triangle has two known sides. We can use the Pythagorean theorem to find y.

[tex]A^2 + B^2 = C^2[/tex] is Pythagorean theorem.

[tex]3^2 + y^2 = 7^2\\\\\\9 + y^2 = 49\\\\\\y^2 = 40\\\\\\y = 2\sqrt{10}[/tex]

Now, we want to find x.

We know the triangles are similar.

4.5 divided by 3 is 1.5. This is the scale factor for the triangle.

If we multiply y by 1.5, we will get 5x.

[tex]5x = 1.5(2\sqrt{10} )\\\\\\5x = 3\sqrt{10} \\\\\\Divide.5.on.both.sides.to.get.x.\\x = \frac{3\sqrt{10} }{5}[/tex]

Those are the answers and how to get them.

#teamtrees #PAW (Plant And Water)

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.