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VladimirAG [237]
3 years ago
10

Show work for GCF for 27 and 54 and 81

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0
27=1*27 & 3*9
54=1*54, 2*27, 3*18 & 6*9
81= 1*81, 3*27, & 9*9
GCF=27
Travka [436]3 years ago
4 0
The GCF is 27, because 27 can go into 27 one time, can go into 54 two times and 81 three times.
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Items 2-4. Points P, Q, and Sare
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Answer:

See below

Step-by-step explanation:

2......................

∠PQR and ∠RQS are supplementary, which add up 180°

  • ∠PQR = 3x - 5
  • ∠RQS = x + 1

<u>Sum:</u>

  • 3x - 5 + x + 1 = 180
  • 4x - 4 = 180
  • 4x = 184
  • x = 46°

3......................

  • ∠PQR = 3x - 5 = 3*46° - 5° = 138° - 5° = 133°

4......................

From the picture and the value of x we got above:

  • ∠RQS = x + 1 = 46 + 1= 47°

QT bisects ∠RQS and we get two equal angles

<u>Each will measure:</u>

  • 47°/2 = 23.5°

5......................

LM = 5, LN = 17, MN = ?

<u>If L is between M and N, then</u>

  • MN = LM + LN = 5 + 17 = 22

<u>M is between L and N, then</u>

  • MN = LN - LM = 17 - 5 = 12

5......................

<u>Ray BD bisects ∠ABC, then formed angles are equal:</u>

  • m∠DBC = x + 6
  • m∠ABD = 2x - 12

m∠DBC = m∠ABD

  • x + 6 = 2x - 12
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The x-intercept for the following question is x=3
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How do i do these using the following functions
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Step-by-step explanation:

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(f−g)(x) means f(x) − g(x).

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(f+g)(x) = (3x − 7) + (2x − 4)

(f+g)(x) = 5x − 11

2. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (3x − 7) − (2x − 4)

(f−g)(x) = 3x − 7 − 2x + 4

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(f−g)(x) = (2x + 3) − (x² + ½ x − 7)

(f−g)(x) = 2x + 3 − x² − ½ x + 7

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