Answer: 
Step-by-step explanation:
1. You have the following formula for calculate the area of the original circular chip:
Where D is the diameter of the circle.
2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:
Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor = 
Scale Factor = 4/2
Scale Factor = 2
<u><em>This means The area of ΔABC is 2 times the area of ΔDEF</em></u>
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
40 + 10x = 5x - 30
To begin isolating x, subtract 40 from both sides.
40 + 10x - 40 = 5x - 30 - 40
10x = 5x - 70
Subtract 5x from both sides.
10x - 5x= 5x - 70 - 5x
5x = -70
Finally, divide both sides by 5.
5x/5 = -70/5
x = -14
Answer:
x = -14
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
Answer:
False.
Step-by-step explanation:
