You randomly survey students about year-round school. The results are shown in the graph.

Both Jonathan and Seth completed their laps in 2 minutes each.

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.

Health inspector visits once a week.
Fire inspector comes every 12 days.

a) health inspector fire inspector.
day 7.                    day 12.   
day 14.                    day 24.
day 21.                    day 36.
day 28.                    day 48.
day 35.                    day 60.

b) 12 x 7 = 84.

Both will coincide on day 84.

Answer:

Refer to the detailed explanation below

Step-by-step explanation:

* Let’s organize the procedure to bisect angle ABC

- Angle ABC has vertex at point B and rays BA and BC

# Step 1:

- Center the compass at point B and draw an arc that crosses rays BA and BC ⇒ fifth step

# Step 2:

- Mark point D where the arc intersects ray BA and point E where it meets ray BC ⇒ third step

# Step 3:

- With the compass on point D, create an arc inside the angle ⇒ sixth step

# Step 4:

- Using the same compass width, set it on point E and draw an arc inside the angle ⇒ second step

# Step 5:

- Let point F be the intersection of the arcs from points D and E ⇒ fourth step

# Step 6:

- Draw a ray from point B through point F ⇒ first step

* This ray divides angle ABC into two equal parts

Let

s--------> denote the cube's side length

We know that

the volume of a cube is calculated as

if the side length s measures

then

and thus, the volume is defined as

This leads us to conclude

the correct option is

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.