Calculate value of x
A=24.9
B=19.1
C=10.3
D=12.3

C. 10.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangle Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use Trig Rations to solve for the missing side

Step 2: Identify Variables

Adjacent leg = x

Hypotenuse = 16

Angle ∅ = 50°

Step 3: Solve for x

Set up equation:                    cos50° = x/16Isolate x:                                 16cos50° = xEvaluate:                                 10.2846 = xRewrite:                                   x = 10.2846

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.