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1 year ago

Amy is x years old. Ben is 2 years older than Amy. Alice is six years younger than Amy.

Mathematics

2 answers:

mezya [45]1 year ago

8 0

Answer:

Amy's age is x.

• Ben's age is 2 more than Amy's age.

∴ Ben's age = x + 2

• Alice's age is 6 less than Amy's age.

∴ Alice's age = x - 6

Art [367]1 year ago

7 0

Answer:

Step-by-step explanation:

Amy = x years

Ben = x + 2 (years)

Alice = x - 6 (years)

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Step-by-step explanation:

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2 years ago

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spayn [35]

Answer:

A. 34°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

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

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite leg AC = 24

Adjacent leg CB = 35

Step 2: Solve for x

Substitute in variables [Tangent]: $\displaystyle tanx^\circ = \frac{24}{35}$
Inverse Trig [Tangent]: $\displaystyle x^\circ = tan^{-1}(\frac{24}{35})$
Evaluate: $\displaystyle x = 34.439^\circ$
Round: $\displaystyle x \approx 34^\circ$

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