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Alla [95]
3 years ago
5

Please answer this correctly without making mistakes

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

44 5/6 "the second one"

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Given circle O with chords CD = 12 and
LuckyWell [14K]

Answer:

  • FB=6 Units
  • OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

10^2=6^2+|OE|^2\\|OE|^2=100-36\\|OE|^2=64\\|OE|^2=8^2\\|OE|=8 \:Units

Therefore:

  • FB=6 Units
  • OE= 8 Units

0 0
3 years ago
Simplify the expression. Use standard polynomial format.<br> x(2x + 3) + (x - 3)(x - 4)
timofeeve [1]

Answer:

x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12

Step-by-step explanation:

<em>Expand:</em>

x(2x + 3): 2x² + 3x

2x² + 3x + (x - 3) (x - 4)

<em>Expand</em>:

(x - 3) (x - 4):  x²- 7x + 12

2x² + 3x + x²- 7x + 12

<em>Simplify:</em>

2x² + 3x + x² - 7x + 12:  3x² - 4x + 12

= 3x² - 4x +12

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<u><em>Both the statement and its contrapositive are true. </em></u>A right angle will always be 90 degrees, so both are true.

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