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:
b = 55°
Step-by-step explanation:
Angles around a point will always add up to 360°
Therefore, we can write an expression where we sum the 3 angles given and equate them to 360°:
(b - 15) + 3b + (2b + 45) = 360
eliminate the brackets and collect like terms:
b + 3b + 2b - 15 + 45 = 360
Combine like terms:
6b + 30 = 360
subtract 30 from both sides:
6b = 330
divide both sides by 6:
6b ÷ 6 = 330 ÷ 6
⇒ b = 55
The type of angle pair that is defined as nonadjacent angles formed by two intersecting lines is considered to be vertical angles. Although supplementary angles can be determined as nonadjacent, they can also be adjacent in certain measurements.
Answer:
The sentence you have can be expressed in algebra (using x as 'the number'):
2x + 5 = x / 3. (We add 5 to the left side because that product is less than the right side.)
Now all you have to do is to combine the x terms on one side of equation, putting the constant on the other side of the equation, and solve for x.
or
Let the unknown number that we are solving for be x.
The product of a number and 2 means 2*x
5 less than the quotient of a number and 3 means x/3 - 5.
So,
2*x = x/3 - 5 subtract x/3 from both sides of the equation
2x - x/3 = -5 , now find the least common denominator for the left side of the equation
6x/3 - x/3 = -5
(6x - x)/3 = -5
5x/3 = -5, now multiply both sides of the equation by 3
5x = -15 now divide both sides of the equation by 5
x = - 3. So the number is -3.
Step-by-step explanation:
Answer:
Your friend is wrong.
Step-by-step explanation:
Since we have that you spend c dollars for p identical pairs of pants. We can represent this using:
C = kP.
Where k is the price for one pair of pants whereby the amount of dollars you spend depends on the number of pants picked.
C is the dependent variable here, depending on P and P is independent. Therefore, you have only one independent variable which is P.
