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Answer:
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Step-by-step explanation:
Given equations of lines are:
Line p: x+2y=1
Line q: y=2x+1
We can determine if two lines are parallel or perpendicular by comparing the slopes of line.
Slope intercept form of line is given by the formula

Equation of line q is already in slope intercept form.
We have to convert the equation of line p in slope-intercept form

Slope of line p = 2
Slope of line q = -1/2
We can see that

The product of slopes of both lines is -1, hence, the lines are perpendicular.
Hence,
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
The answer is x=6 because 15x is equal to 90, so 90÷15=6
Answer: A
Explanation: using the common ratio we can solve this. 24:8 = x:4
24 divided by 8 is 3.
Therefore x divided by 4 should be 3 too.
4 multiplied by 3 is 12, so x = 12.
For y:
When triangles are similar, the angles are always the same. So y is simply 40 degrees.