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zaharov [31]
3 years ago
8

Solve the quadratic by factoring. x to the power of 2+ 12x + 32 = 0​

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

x = - 8, x = - 4

Step-by-step explanation:

x² + 12x + 32 = 0 ← in standard form

(x + 8)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x + 4 = 0 ⇒ x = - 4

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Likurg_2 [28]

The figure/drawing isn't needed to answer this question.

The question tells us ABCD ~ WXYZ, which means trapezoid ABCD is similar to WXYZ.

Point A corresponds to point W, B corresponds with X, C corresponds with Y, and D corresponds with Z (first, second, third, and last letters correspond with each other according to the similarity statement).

Now let's check each answer choice and see which applies to these similar trapezoids:

  • Since point B corresponds with point X and the trapezoids are similar, they must be congruent angles. Thus, the first choice is correct.
  • Point Y does not correspond with point A. Thus, it is possible the angles are not congruent. The second choice is incorrect.
  • Point A corresponds with W and B corresponds with X. Thus, line segment AB will be similar to line segment WX. However, they are not equal. Thus, the third choice is incorrect.
  • There's an equal sign in this choice, too, just like the last, and the two segments are corresponding line segments. Thus, the fourth choice is incorrect.
  • This looks like the third choice, but with a similarity symbol instead of an equal sign. Now, the statement is true and the fifth choice is correct.
  • This looks like the fourth choice but with a similarity instead of an equal sign. Now, the statement is true and the sixth choice is correct.

Let me know if you need any clarifications, thanks!

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Step-by-step explanation:

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