Scale factor is 2
30/15 = 2
20/10 = 2
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
Answer:
6 meters by 9 meters
Step-by-step explanation:
<u><em>Step 1: Formula for perimeter of rectangle</em></u>
Rectangle's perimeter = 2 (length) + 2 (width)
Rectangle's perimeter = 2 (length + width)
<u><em>Step 2: Find the length and width in terms of x</em></u>
Width = x
Length = 1.5 times width
Length = 1.5x
<u><em>Step 3: Find x</em></u>
Perimeter = 2(length + width)
30 = 2 (1.5x + x)
30/2 = 2.5x
15/2.5 = x
x = 6
<u><em>Step 4: Find the length and width</em></u>
Width = x = 6 meters
Length = 1.5x = 1.5(6) = 9 meters
Therefore, the dimensions of the room are 6 meters and 9 meters.
y = 80x - 60
Answer is B. y = 80x - 60
Double check:
When x = 1, y = 80(1) - 20 = 80 -60 = 20
When x = 2, y = 80(2) - 20 = 160 -60 = 100
When x = 3, y = 80(3) - 20 = 240 -60 = 180
When x = 4, y = 80(4) - 20 = 320 -60 = 260
When x = 5, y = 80(5) - 20 = 400 -60 = 340
Answer: 16 miles is the total
Step-by-step explanation:
12 = 3x/4. Or 12/x : 3/4
12/3 = 4. 4×4=16
