Answer:
68°
Step-by-step explanation:
ABD is a right angle and the measure of it is 90°
m<CBD + m<ABC = m<ABD
4x + 52° + 8x - 10 = 90° add like terms
12x + 42° = 90°
12x = 48°
x = 4
m<CBD is 4x + 52° replace x with 4
4×4 + 52 = 68°
Correct answer: "Diagonal AC is congruent to itself by the Reflexive Property of Equality."
Insert the sentence above before the sentence "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA)".
The congruence of two angles is already proved, so you need to prove that the corresponding pair of sides is congruent. Then you have 3 pairs of congruent elements for the Angle-Side-Angle (ASA) Theorem.
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
Answer:
1) x=1
2) x=6
3) x=3
Step-by-step explanation:
i just did them :) good luck
