So ur going from a smaller shape to a larger shape....means the scale factor is more then 1. The scale factor is the number that u multiply the original shape by to get the other shape.
so lets look at DE...it is 2.....and D'E' is 6
so 2 * x = 6...with ur scale factor being x
2x = 6
x = 6/2
x = 3.....so the scale factor is 3....because multiplying the original shape by 3, gives u the other shape
Answer:
1 hour
Step-by-step explanation:
25min=1 poster for the shop owner
25×4=100
100×8=800
800÷25=32 posters in 8hrs for the shop owner
1hr×8=8 posters for the apprentice
thus 40 in total
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

Let x = number of long sleeve shirts
Let y = number of short sleeve shirts
x + y = 200
x/2 + y/3 = 80
Now solve this pair of simultaneous equations to find x and y.
Answer:
Step-by-step explanation:
The area of the shape is the sum of three sections
<u>1. Rectangle</u>
<u>2. Bigger semicircle</u>
- A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)
<u>3. Smaller semicircle</u>
- A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)
<u>Total area:</u>