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3 years ago

In the diagram, ARST-

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

The scale factor is 4.5

Step-by-step explanation:

Scale factor from ∆RST to ∆XYZ = side length of ∆XYZ / corresponding side length of ∆RST

Thus:

XY corresponds to RS

XY = 45

RS = 10

Therefore:

Scale factor = 45/10 = 4.5

Scale factor from ∆RST to ∆XYZ = 4.5

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MatroZZZ [7]

Answer:

$\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Algebra II

Discontinuities
Domain Restrictions

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}$
[Fraction] Factor denominator: $\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}$
[Fraction] Divide: $\displaystyle \frac{x + 2}{x + 9}$

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