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Masja [62]
3 years ago
7

Write the expression 5³⋅5⁴ using a single base

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

If two numbers have the same base, add the powers

5³ * 5⁴ = 5⁽³⁺⁴⁾ = 5⁷

Dafna11 [192]3 years ago
6 0

5^{3} *5^{4}

5^{3+4}

5^{7}

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Y=(3x+4)(-2x-3)=-6x^2-4x-9x-12=-6x^2-13x-12.
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*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle
Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

  • On the extension of the side BC , draw a line segment CD ≅ CA
  • Draw the segment AD
  • The line segment CE is the angle bisector of ∠ACB
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We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

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- In any isosceles triangle the median from a vertex to its opposite

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∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

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Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

7 0
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Step-by-step explanation:

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