I plugged it in to a truncated square pyramid calculator and got v=76
the formula for this shape is V=1/3(A squared+AB+B squared)H.
The point where the two axes intersect (0,0) it's the point of origin.
To write in slope intercept form solve the equation for y:
4x + 3y =15
Subtract 4x from both sides:
3y = -4x +15
Now get Y by itself by divide all terms by 3:
y = -4/3x + 5
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation: