All categories

3 years ago

Solve for the value of m. 38° (8m+4)°

Mathematics

1 answer:

Neporo4naja [7]3 years ago

4 0

Answer:

m = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties
Combining Like Terms

Geometry

Complementary Angles - Angles that add up to 90°

Step-by-step explanation:

Step 1: Set Up Equation

The 2 angles must add up to 90°.

(8m + 4)° + 38° = 90°

Step 2: Solve for m

Combine like terms: 8m + 42 = 90
Isolate m term: 8m = 48
Isolate m: m = 6

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$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}$

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