Requesting Help,
If the cube shown is 2 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)

A) 2.7 cm
B) 3.1 cm
C) 3.5 cm
D) 3.9 cm

option C is the correct answer.

Step-by-step explanation:

In a cube, all the sides are equal.

The cube shown is 2 centimeters on all sides. The diagonal forms a right angle triangle with the sides of the cube with the diagonal representing the hypotenuse of the right angle triangle.

To determine the diagonal of the face of the cube,y, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

y² = 2² + 2² = 4 + 4

y² = 8

y =√8

To determine the diagonal of the cube, x,

x² = 2² + y²

x² = 2² + (√8)² = 4 + 8

x² = 12

x √12 = 3.5 cm rounded to the nearest tenth.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180