Answer:
a. 8
b. 114
Step-by-step explanation:
a.
36/6 = 48/x
36x = 288
x = 8
b.
12/72 = 19/x
1/6 = 19/x
x = 114
First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:

The figure would look kinda like this:
R
M
S
B
Diagonals are segment RB and segment SM
So, your slope equations would look like this:

and

Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram
The idea for transitions for an equation like this is

where m = slope
h = how much left or right (note the negative)
k = how much up or down
moving 13 down would mean
k = -13
so

D. would be your answer
Answer: V = (1/2 inches)^3 = 1^3/2^3 inches^3 = 1/8 Cubic inches.
Step-by-step explanation:
The formula of Volume for a cube is just like Hyperrectangle's V = width x length x height and since a Cube is just a Hyperrectangle with all sides equal, this specific case can be written as V = side^3