It succeeded in punching German defenses in Western Europe
Answer:
6.998 rounded to 7.00
Step-by-step explanation:
Answer:
250
Step-by-step explanation:
Original cost * percent of the item = new price
Original *80% = 200
Change to decimal form
original *.80 =200
Divide each side by .80
original *.80/.80 = 200/.80
original =250
Answer:
corresponding angles are listed in the same order
Step-by-step explanation:
Corresponding angles are listed in the same order in the triangle names. Corresponding angles are congruent.
∠D ≅ ∠Z
∠E ≅ ∠X
∠F ≅ ∠Y
_____
This is why you have to carefully choose the names of triangles that you say are congruent. The sequence of the letters in the name carries significant information.
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ( factor out 2x from each term )
= 2x(2x² + 5x - 3)
To factorise the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
(x + 3)(2x - 1), hence
2x² + 5x - 3 = (x + 3)(2x - 1)
Hence
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1)
