The circle graph shows the breakdown of Jada's college tuition and fees.

Using what you know about angle relationships, which equation could be used to find the value of x?

A) 4.6x + 14.4 = 360
B) 4.6x + 14.4 = 180
C) 3.6x + 14.4 = 360
D) 3.6x + 14.4 = 180

Option B:

4.6x + 14.4 = 180

Solution:

The circle graph represents the college tuition and fees.

In the given circle graph,

2x, 1.6x, 14.4° and x represent the degree of the circle graph.

To find the equation could be used to find the value of x:

We know that,

Sum of the angles in the straight line = 180°

⇒ 2x° + 1.6x° + 14.4° + x° = 180°

Arrange like terms together.

⇒ 2x° + 1.6x° + x° + 14.4° = 180°

⇒ 2x° + 1.6x° + x° + 14.4° = 180°

⇒ 4.6x° + 14.4° = 180°

Without indicating a degree, the expression is

⇒ 4.6x + 14.4 = 180

Option B is the correct answer.

Hence the equation which used to find the value of x is

4.6x + 14.4 = 180.

v: l•w•h÷2.

v: 20•6•8 ÷2

v: 960÷2

v: 480