Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels
m miles and is on a trip for
x days then Rita will receive:
55x + 0.45m dollars.
Rita drove 300 miles, means that m=300. Thus </span>
55x + 0.45m becomes <span>
</span>

(dollars.)
She was reimbursed $2,335 means that

.
Part A:

.
Part B:
We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:
55x=2,335-135=2,200.
Dividing both sides by 55, we get: x=2,200/55=40.
Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.
Step-by-step explanation:
18. y-(-2) = -6(x-2)
y+2 = -6x+12
y = -6x+12-2
y = -6x+10
19. y-(-4) = -½(x-4)
y+4 = -½x+2
y = -½x+2-4
y = -½x-2
Answer:
Valid Argument
Step-by-step explanation:
An argument is valid if its conclusion follows with certainty from its premises.
Given:
Premise: If it has an engine, I can fix it.
Premise: Cars have engines.
Conclusion: I can fix cars.
The argument is valid since the conclusion follows with certainty from the given premises.
Answer:
Since, KLMN is a parallelogram, then by the property of parallelogram that opposite angles of a parallelogram is equal, therefore ∠N=∠L and ∠M=∠K.
Step-by-step explanation: