Answer:
Triangle ABC is dilated by a scale factor of 1.5
Step-by-step explanation:
The general rule for the dilation about the origin with a factor of k is

You are given two triangles ABC and A'B'C'.
In triangle ABC:
From the diagram, in triangle A'B'C':
As you can see
So, triangle ABC is dilated by a scale factor of 
Answer:



Step-by-step explanation:
From the picture attached,
(8, -3) is a point on the terminal side of angle θ.
Therefore, distance 'R' from the origin will be,
R = 
R = 
= 
= 
Therefore, Cosθ = 
Sinθ = 
tanθ = 
Cscθ = 
I think that each shelf will be 19 inches. Because 137 divided by 7 is 19 with the remainder of 4. Half of 4 is 2. Take 2 inches off of each end and that is the 4. So each shelf is 19 inches.
Answer:
Perimeter: 16x + 16
Area: 40x + 15
Step-by-step explanation:
Remember, the perimeter is the sum of all the sides of a figure, it can be found by adding up all the sides. The area is the space within the figure, in the case of a quadrilateral can be found by multiplying the length by the width. Finally, in a rectangle, the opposite sides are congruent, parallel, and intersect in 90degree (right) angles.
Using this,
1. Find the perimeter
Since opposite sides are congruent, there will be two sides with a measure of ( 8x + 3 ), and two sides with the measure of 5. Hence the sum of all the sides would be
8x + 3 + 8x + 3 + 5 + 5
Add them together,
16x + 16.
The perimeter of the figure is 16x + 16
2. Find the area,
To find the area of a rectangle, multiply the length by the width.;
( 8x + 3 ) * 5
Distribute:
40x + 15
The area of the figure is 40x + 15