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SCORPION-xisa [38]
2 years ago
14

Please help with algebra class I’m struggling

Mathematics
1 answer:
adell [148]2 years ago
5 0

Answer:

Step-by-step explanation:

For what mileages will company A (which has a flat rate of $111) be less than the cost for company B

Company A < Company B

              111 < 75 + 0.80m

solving

       111 - 75 < 75 - 75 + 0.80m

              36 < 0.80m

     36/0.80 < 0.80m/0.80

as we are dividing by a positive number, we don't have to change the direction of the < sign.

              45 < m

      or     m > 45

so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent

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Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD.
galben [10]

Answer:

∠EFD ≅ ∠EGD ⇒ A

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Step-by-step explanation:

Let us revise some facts

  1. Equal chords subtended equal arcs
  2. The measure of an inscribed angle is one-half the measure of the central angle which subtended by the same arc
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∵ m∠G = 60°

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- By using the 5th rule above

∴ m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

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∵ m∠DCE = 120°

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∵ ∠DCE is a central angle subtended by arc DE

∵ ∠DFE is an inscribed angle subtended by arc DE

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∴ m∠DFE = \frac{1}{2} (120)

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∴ ∠EFD ≅ ∠EGD

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∵ EF = FD

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∵ ∠ECD is a central angle subtended by arc ED

- By using the 3rd rule above

∴ m∠ECD = m arc ED

∴ m of arc ED = 120°

∵ Arc ED ≅ arc FD

∴ m arc ED = m arc FD

∴ m arc FD = 120°

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