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horrorfan [7]
3 years ago
6

Can someone help me please.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

  1. Lena's Method: 280
  2. Jackson's Method: 280

Step-by-step explanation:

Lena's Method:

  1. 8 + 12 = 20
  2. Plug 20 in: 14(20)
  3. 14(20) = 14 × 20 = 280

Jackson's Method:

  1. 14 × 8 = 112
  2. 14 × 12 = 168
  3. Re-write the expression: 112 + 168
  4. 112 + 168 = 280

I hope this helps!

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Find m∠DEC (the picture is not drawn to scale).
pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

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Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x                             Remove parenthesis

2x - 57 = x                                       Combine like terms

2x = x + 57                                      Add 57 to both sides

<u>x = 57</u><u>                                             Subtract x from both sides</u>

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x - 45 = ?

<u>57 - 45 = </u><u>12º                                          </u>

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x - 12 = ?

<u>57 - 12 = </u><u>45º                                           </u>

<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>

<em>Finding </em>m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

8 0
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