X=72 cause 180-(51+57) so 180-108 and the triangle is acute cause all of the angle measures are below 90 degrees.
So your answer is
x=72
Acute Triangle
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down 
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule
(rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Answer: Volume = 3818.2 cubic feet
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Diameter = 16 feet
Radius = diameter/2 = 16/2
Radius = 8 feet
Height = 19 feet
Therefore,
Volume = 3.14 × 8² × 19
Volume = 3.14 × 64 × 19
Volume = 3818.2 cubic feet rounded to the nearest tenth
Answer:
Step-by-step explanation: