Line segment YV of rectangle YVWX measures 24 units.

Rectangle Y V W X is shown. A diagonal is drawn from point X to point V. The lengths of sides Y V and X W are 24 units. The angle of V X W is 30 degrees, the angle of X W V is 90 degrees, and the angle of X V W is 60 degrees.

Step-by-step explanation:

Since the figure is a rectangle, you know that:

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

You can identify that:

Therefore, in order to find the length of the segment YX, you must substitute values into   and then you must solve for YX.

You get that this is:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)