Hey there :) I'm pretty sure that your answer is D) ∠S ≅ <span>∠Y because corresponding angles of similar triangles are congruent.
I think that it is the answer because if you shift your paper around, and look at the angles from different views, you can tell that angles S and Y are congruent, or the same, because of the way that both angles are at the end of the longer sides of both triangles.
So, your answer is D!
~Hope this helped!~</span>
Answer:
x = -11
Step-by-step explanation:
I'm assuming it's an isosceles triangle so 32 + 2x = 10;
subtract 32 from both sides;
2x = -22
x = -11
First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.
Formula to find distance given two points.
Square root (X2 - X1)^2 + (Y2 - Y1)^2
Xa Ya Xb Yb
A = (3, -4) B = (-1, 3)
Xa goes into X2 and Xb goes into X1
(3 - (-1))^2
Ya goes into Y2 and Yb goes into Y1
(-4 - 3)^2
Square root (3 - (-1))^2 + (-4 - 3)^2
Square root (4)^2 + (-7)^2
Square root 16 + 49
Square root 65
= 8.06
The error was Drako had (3 - 4)^2 when it should have been (3 - (-4))^2 because a positive is subtracting a negative.
<span>For this case we have the following equation:</span>
<span> (x + 2) 2 + y2 = 10</span>
<span> We must remember that the standard equation of the circle is given by:</span>
<span> (x - h) 2 + (y - k) 2 = r2</span>
<span> Where r is the radius.</span>
<span> Therefore, in the given equation the radius is:</span>
<span> r ^ 2 = 10</span>
<span> Clearing we have:</span>
<span> R = root (10)</span>
<span> Answer:</span>
<span> The length of the radius of the circle is:</span>
<span><span> √ (10)</span></span>
