Answer:
A rectangular prism has 3 measurements: length (l), width (w), and height (h)
The volume of a rectangular prism has the formula: V=lwh
The area of the base of the rectangular prism is its length times its width; or
Area of base = lw
So, the volume of the rectangular prism can be written as:
Volume = area of the base * height
Substitute in your numbers:
192=48*h
h=192/48
h=4
So the height is 4 feet
Step-by-step explanation: Hope this helps. :))
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
So, both equations are essentially linear equations.
Linear equations are written in the format
y = mx+b, where
m represents the
slope/slope intercept and
b represents the
y-intercept.
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Part Athe slope and y-intercept
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 6x - 4
m = 6; b = -4y = 5x - 3
m = 5; b = -3The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***Part B:
x = 1; y = 2
Answer:
C 1/3
Step-by-step explanation:
RISE /RUN
1=rise
3=run