Answer:
Following are the responses to the given points:
Step-by-step explanation:
Dilation implies the triangle
stretched through the factor "2".
right triangles:

complementary angles:


complementary angles:


Same triangles: proportional side are corresponding, congruence angles are respective.
Calculating the length of leg XY:

Answer:
the turning point is (-2,-1)
i dont know the turning point but i hope this helps
Step-by-step explanation:
Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
<h3>SOLUTION : </h3>
The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is
. Similarly when angle is theta ,
Now substitute respective values , from the given data ,

This is our required answer!