Answer:
A
Step-by-step explanation:
To construct the perpendicular bisector, follow these steps:
Step 1:
Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.
Step 2:
Keeping the same width, place the compass on point B and create another arc across AB.
Step 3:
With the ruler, connect the two intersection points of the arcs by drawing a line.
Step 4:
This line will be the perpendicular bisector of the segment AB.
Thus, option A is the correct choice.
Answer:
15.6
Step-by-step explanation:
- Insert 39/4: 39/4 ÷ 5/8
- 39/4 ÷ 5/8 = 39/4 × 8/5
- 39/4 × 8/5 = 312/20
I hope this information is helpful!
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Answer:

The variable x lies within the interval of all positive real numbers less than 5 cm.
Detailed solution:
Problem statement:
Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.
Refer to the provided diagram for clarity.
Define:
x → length in centimeters of each square cutout side
The volume of the box with open top can be written as:

Given this, we have:



By substitution:

Determine the domain of x:
Because:

Therefore:
Domain is the interval (0,5)
That means all real numbers strictly greater than zero and less than 5 cm are valid for x.
Hence, the volume V as a function of x is:

Answer:
El valor de x es 4.
Explicación paso a paso:
Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.
Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).
La longitud del lado del triángulo es
NO = NS + SM = 6 + 2 = 8
Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que
RM = MO/2 = 8/2 = 4
El valor de x es 4.