Answer:
What is the length of CD? (6 units)
What is the length of C’D’?(4 units)
What is the measure of B? (90 degrees)
What is the measure of B’? (90 degrees)
What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’? (2/3)
Step-by-step explanation:
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3x - 50 = -20
Add 50 to both sides
3x = 30
x = 10
The number is 10
Answer:
1/49
Step-by-step explanation:
- The area of the circle is:
A=πr²
A is the area of the circle.
π=3.14
r is the radius of the circle.
- To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:
As=(</span>θ/2π)πr²
As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.
- First, you must find the radius:
r=Diameter/2
r=20.6 mm/2
r=10.3 mm
- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:
As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²
- Finally, the area of the sector is:
As= 37.01 mm²