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3 years ago

Question below please help

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

9514 1404 393

Answer:

B They are similar, but not congruent.

Step-by-step explanation:

Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.

Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)

The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.

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4 years ago

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Solve using the quadratic formula. Approximate answers to the nearest tenth.

-BARSIC- [3]

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Step-by-step explanation:

Step 1: Define

Identify variables

x² - 7x - 8

↓

a = 1, b = -7, c = -8

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{7 \pm \sqrt{(-7)^2-4(1)(-8)}}{2(1)}$
[√Radical] Evaluate exponents: $\displaystyle x=\frac{7 \pm \sqrt{49-4(1)(-8)}}{2(1)}$
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[√Radical] Add: $\displaystyle x=\frac{7 \pm \sqrt{81}}{2(1)}$
[√Radical] Evaluate: $\displaystyle x=\frac{7 \pm 9}{2(1)}$
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