have a plan and using some good tools like anki ,or xmind to make your study more effective.
Answer:
B. reflected across tge x axis
The correct answer is: x = 8 (Option D)
Explanation:
Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).
It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,
BC = 20
FE = 3x - 4
Since,
BC = FE (By using congruence statement mentioned above)
20 = 3x - 4
3x = 20+4
3x = 24
x = 8
Hence the correct answer is: x = 8
The interior of a triangle = 180°
So 180° - 85° -50° = 45°
c. 45 degrees
The height of the container that will be able to minimize the cost will be 3.08cm.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
Learn more about height on:
brainly.com/question/1557718
