Answer:
The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis
Step-by-step explanation:
Let us write the vertices of Δ ABC
∵ Vertex A = (-2, -1)
∵ Vertex B = (0, 0)
∵ Vertex C = (1, -3)
Let us Write the vertices of Δ A'B'C'
∵ Vertex A' = (-4, 2)
∵ Vertex B' = (0, 0)
∵ Vertex C' = (2, 6)
Let us find the scale factor k between the x-coordinates of the points and their images.
∵ -4 = k (-2) ⇒ Divide both side by -2
∵
= 
∴ 2 = k
∴ The scale factor of a dilation is 2
∵ The signs of the y-coordinates of the images are the opposite of
the signs of the y-coordinates of the points
∴ The triangle is reflected about the x-axis
∴ The set of transformations has been performed on triangle ABC
is dilation by a scale factor of 2 followed by reflection about the x-axis
I believe the answer is 8
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
In the right triangle ABD

In the right triangle BCD

remember that
m< BAD=m<CBD
therefore

equate the equations



Answer:
the answee is 3
Step-by-step explanation:
Here’s the correct answer and the way i got to it. Hope this helps :)