Answer:
x = 53
Step-by-step explanation:
The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.
2x+15 = 3x-38
Subtract 2x from each side
2x-2x+15 = 3x-2x-38
15 = x-38
Add 38 to each side
15+38 = x-38+38
53 = x
Answer:
The correct option is option number 4. Parallel lines are defined as lines that never have one point in common.
Step-by-step explanation:
Parallel lines: Parallel lines are the lines that will never cross each other. As they never meet, so they won't have a common point.
On the other hand, the other options are incorrect. This is because,
Perpendicular lines: Perpendicular lines are the lines that make 90 degrees angle with each other.
Skew lines: Skew lines are the lines that are not present on the same plane.
Coplanar lines: Any lines which are known to occur on the same plane are termed as coplanar lines.
In order the four consecutive integers are:
31, 32, 33, 34.
Answer:
A
Step-by-step explanation:
The consecutive values of 
have a common difference d, that is
d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5
This indicates that the sequence is arithmetic.
The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus
= 
+ 5 → A
