Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.

Mathematics

1 answer:

Bumek [7]2 years ago

6 0

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

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Answer:

C. 17.6

General Formulas and Concepts:

Math

Rounding

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

Substitute in variables [tangent]: $\displaystyle tan(40^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 21tan(40^\circ) = x$
Rewrite: $\displaystyle x = 21tan(40^\circ)$
Evaluate: $\displaystyle x = 17.6211$
Round: $\displaystyle x \approx 17.6$