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Marrrta [24]
3 years ago
10

Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!​

Mathematics
2 answers:
Oksanka [162]3 years ago
5 0

Answer:

Solution given:

19

<JKL=<KLS

20

FD=GD

jolli1 [7]3 years ago
4 0

9514 1404 393

Answer:

  19) ∠JKL ≅ ∠SLK

  20) FD ≅ GD

Step-by-step explanation:

It works well to identify the locations of the letters in the congruence statement, then use the letters in the same order from the other part of the congruence statement.

19) Letters JKL have the order 312 in the first part of the congruence statement ΔKLJ ≅ ....

The last part of the congruence statement is ... ≅ ΔLKS. The letters in order 312 from that part are SLK, so we want our angle congruence to read ...

  ∠JKL ≅ ∠SLK

__

20) The letters we're given (FD) are in positions 31 of the first part of the triangle congruence statement. The letters in those positions in the second part are GD, so our segment congruence is ...

  FD ≅ GD

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The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re
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Answer:

  • width: 18 in
  • length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

  W +9 = L

  LW = 486

Substituting gives ...

  (W+9)W = 486

  W^2 +9W -486 = 0 . . . put in standard form

  (W +27)(W -18) = 0 . . . . factor

  W = 18 . . . .  the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

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<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

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3 years ago
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The price of a sweater was reduced from $25 to &amp;19. By what percentage was the sweater reduced by?
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which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=
svetoff [14.1K]

For this case we have a direct variation of the form:

y = kx ^ 2

Where,

  • <em>k: proportionality constant </em>

We must find the value of k.

For this, we use the following data:

y = 36\\x = 3

Therefore, replacing values we have:

36 = k (3) ^ 2

Rewriting:

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Clearing the value of k we have:

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y = 4x ^ 2

Answer:

The quadratic variation equation for the relatonship is:

y = 4x ^ 2

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