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givi [52]
3 years ago
13

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

Mathematics
2 answers:
sineoko [7]3 years ago
7 0

Answer:

  • False
  • the equation required to fence both garden do not match the perimeter given on statement 2.
  • 41x - 37 ≠ 41x + 35

Step-by-step explanation:

<u>garden A</u>

Width (W) = 2x - 3

Length (L) = 5(W)

                = 5 (2x - 3)

                = 10x - 15

Perimeter A = 2L + 2W  (perimeter of a rectangular garden)

                    = 2(10x - 15) + 2(2x - 3)

                    = 20x - 30 + 4x - 6

                    = 24x - 36

<u>garden B</u>

side 1 = 5x + 5

side 2 = 4x + 2

side 3 = 8x - 8

Perimeter B = sides (1 + 2 + 3)  

                    = 5x+5 + 4x+2 + 8x-8

                    = 5x + 4x + 8x + 5 + 2 - 8

                    = 17x - 1

Garden A + garden B  = statement 2

24x - 36  +  17x - 1

24x + 17x - 36 - 1

 41x - 37

therefore, the statement 2 is <u>false.</u> as the equation required to fence both garden do not match the perimeter given on statement 2.

<h3>41x - 37 ≠ 41x + 35</h3>

Lady_Fox [76]3 years ago
6 0

Answer:

  • False

Step-by-step explanation:

<u>Perimeter of garden A  is </u>

  • P = 2(w + l) = 2( 2x - 3 + 5(2x - 3)) = 24x - 36

<u>Perimeter of garden B  is </u>

  • 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

<u>Sum of perimeters:</u>

  • 24x - 36 + 17x - 1 = 41x - 37

The statement 2 is FALSE as number we got is different from the one in the statement

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<h3>Answer:  20% increase</h3>

======================================================

Explanation:

A = old value = 110

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C = 20%

The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.

The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%

---------------

Checking the answer:

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Step-by-step explanation:

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Answer:

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Answer 2; Substitution

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Step-by-step explanation:

The two column proof is presented as follows;

Statement  {}                               Reason

1. ∠SWT ≅ ∠TWU {}                    Given

2. m∠SWT + m∠TWU = 180°  {}  Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180° {}    Substitution

4. m∠SWT = 90°  {}                      Algebra

5. \underset{TV}{\leftrightarrow }⊥ \underset{SU}{\leftrightarrow } {}                                  Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } m∠SWT = 90°, therefore, the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } are perpendicular to each other.

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