50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
1 answer:
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.
is Pythagorean theorem.
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.
Those are the answers and how to get them.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
You might be interested in
The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)
Step-by-step explanation:
The equation of a circle of center (h , k) and radius r is:
(x - h)² + (y - k)² = r²
The given is:
- The center of the circle is (-2 , 1)
- The circle passes through point (-5 , -3)
The length of the radius is the distance from the center of the circle
to a point on the circle
∵ The formula of the distance is
∵ The center of the circle is (-2 , 1)
∵ The circle passes through point (-5 , -3)
∴
∴
∴
∴
∴ r = 5
∵ The equation of the circle is (x - h)² + (y - k)² = r²
∵ The center of the circle is (-2 , 1)
∴ h = -2 and k = 1
∵ r = 5
∴ r² = (5)² = 25
- Substitute the values of h , k , r² in the equation of the circle
∴ (x - -2)² + (y - 1)² = 25
∴ (x + 2)² + (y - 1)² = 25
The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains
the point (-5 , -3) and has a center at (-2 , 1)
Learn more:
You can learn more about the equation of the circle in brainly.com/question/9510228
LearnwithBrainly