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maria [59]
3 years ago
10

PLEASE SOLVE THE QUESTION BELOW Copy and paste these symbols if needed Δ ∠ ≅ ~.

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Statement:                                                            Reason:

1. Line AB is parallel to Line DE                    1. Given

2. Angle ABC is congruent to Angle ECD   2. Vertical Angle Theorem (Vertical        

                                                                           Angles are congruent)

3. Angle ABC is congruent to Angle             3. If a pair of parallel lines are cu

  CDE                                                                         by a transversal, then the

                                                                          alternate int angles r congruent

4. Triangle ABC is similar to Triangle EDC     4. Angle-Angle Postulate                                                                            

Step-by-step explanation:

I hope this helps!

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Factorize (X + 2 y)square - (2 x minus y) square​
gulaghasi [49]

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

3 0
3 years ago
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e-lub [12.9K]
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Answer:

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Step-by-step explanation:

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h = (4/3)×pi×8³ ÷ (14×16)

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Step-by-step explanation:

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