Answer:
x = 65°
Step-by-step explanation:
See the attached diagram.
Given lines, p and q are parallel and line a and b are parallel to each other.
So, the closed figure that formed is a parallelogram.
Then, two opposite angles indicated by y are equal.
Now, angle y and angle 50° makes a straight line so, they are supplementary.
Then, 50 + y = 180
⇒ y = 180 - 50 = 130°
Now, angles 2x and y are vertically opposite angles.
Therefore, 2x = 130°
⇒ x = 65° (Answer)
Answer:
Part 1)
Part 2)
Step-by-step explanation:
The equation of the line in point slope form is
we're going to analyze two cases
<em>First case</em>
substitute
therefore
y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis
<em>Second case</em>
substitute
therefore
y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis
Answer:
Both Wolverine and James Bond will have paid the same amount after 10 months.
Step-by-step explanation:
Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.
As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,
Amount paid by Wolverine in x months is equal to
As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,
Amount paid by James Bond in x months is equal to
To find number of months after which both Wolverine and James Bond will have paid the same amount,
solve
So, both Wolverine and James Bond will have paid the same amount after 10 months.