Is y= -2/5 x + 3
y=2/5 x +3 parallel ?

No, y = -2/5x + 3 and y = 2/5x + 3 are not parallel.

Step-by-step explanation:

Generally speaking, parallel lines are lines that do not intersect. This means that they always have the same slope and different y intercepts, like y = 4x + 3 and y = 4x - 5.

On the other hand, perpendicular lines are lines that intersect at 90° angles. They have inverse slopes, or slopes that are the reciprocals of each other. Inverse slopes should be completely opposite to each other, which means flipping the numerator and the denominator and also changing the sign. One example is y = 2x + 4 and y = -1/2 x + 4.

Back to lines y = -2/5x + 3 and y = 2/5x + 3, they are not parallel because they have different slopes and the same y intercept. They are also not perpendicular because their slopes are not the inverses of each other.

You can also tell if the lines are parallel by inserting them into Desmos and seeing how they look. In this case, the lines intersect, and so once again they are not parallel.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)