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mixer [17]
3 years ago
12

Which of the following statements is true about the triangles below?

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB

Angle ABD = Angle ABC
Angle BAC = Angle BAD

The pair of angles that are equal lie on the side AB

Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)

Answer: Second option
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NikAS [45]

Answer:

  • p(t) = 100×1.0153^(12t)
  • 1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

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The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

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2 years ago
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lakkis [162]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

the points for g is -4,0 and x is 4,2 so... yea 2

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Answer:

12

Step-by-step explanation:

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Artyom0805 [142]

Answer:

A

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