The equivalent expression to Daryl's expression is -5 + 7d ⇒ d
Step-by-step explanation:
In a regular polygon of n-side
- All sides are equal in lengths
- All angles are equal in measures
- Its perimeter is n × the length of one side
∵ The polygon is a pentagon
∴ n = 5
∵ The pentagon is regular
∴ The lengths of its 5 sides are equal
∵ Its perimeter = 5 × length of one side
∵ Its perimeter = 35d - 25
- Equate the two sides of the perimeter
∴ 5 × length of one side = 35d - 25
- Divide both sides by 5
∵ 35d ÷ 5 = 7d and 25 ÷ 5 = 5
∴ The length of one side = 7d - 5
Daryl's expression is 7d - 5
Now lets check the answers
a. 35d - 25 ⇒ No
b. 7d - 15 ⇒ No
c. 5(35 - 25) ⇒ No
d. -5 + 7d ⇒ Yes
e. (35d - 25) ⇒ No
The equivalent expression to Daryl's expression is -5 + 7d
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Answer:
x=3
Step-by-step explanation:
12x-14=4x+10
Subtract 4x from each side
12x-4x-14=4x-4x+10
8x - 14 = 10
Add 14 to each side
8x - 14+14 = 10+14
8x = 24
Divide each side by 8
8x/8 = 24/8
x = 3
The population would be the total number of customers found in the database.
The sample would be BIASED because the computer will be identifying the 600 most loyal customers from the database.
Since their survey would be about the service of the company, choosing the most loyal customers will ensure that they would have a positive feedback on the service of the company. Customers build loyalty to a business when it has good service and staff.
According to the attached formula:
apothem = side length / 2 * tan (180/number of sides)
apothem = 6 / 2 * tan (180/10)
apothem = 6 / 2 * 0.32492
apothem =
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9.23 cm
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Answer:D
Step-by-step explanation:
