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Romashka [77]
3 years ago
13

often there are multiple ways to prove that lines are parallel. how easily do you recognize different possibilities

Mathematics
2 answers:
harina [27]3 years ago
8 0

alternate angles are equal, the co-interior angles are supplementary, and the corresponding angles are congruent.

Hope you understand

olya-2409 [2.1K]3 years ago
4 0
<h3>The alternate angles are equal, the co-interior angles are supplementary, and the corresponding angles are congruent.</h3>
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Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0
2 years ago
There are 88 marbles in a bin and 25 percent of the marbles are red how many red marbles are in the bin ?
alina1380 [7]

Answer:

22 marbles are red

25%=1/4

88÷4=22

#CarryOnLearning

6 0
3 years ago
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What is the surface area of a rectangular prism with A length of 4 cm, width of 5 cm and a height of 10 cm?
topjm [15]

Answer:

220

Step-by-step explanation:

plug it into surface area formula for rectangular prisms

A=2(wl+hl+hw)

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