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3 years ago

How many sides does a regular (equal sides and equal angles) polygon have if each exterior angle measures 24°? # of sides =?

1 answer:

5 0

If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides

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3 years ago

Lydia and Claudia have the same number of charms in their collections. Lydia started with 6 charms and bought 3 more packs. Clau

serious [3.7K]

Answer:

E. 3x + 6 = 2x + 9

Step-by-step explanation:

The total number of charms that Lydia has in term of x

6 + 3x

The total number of charms that Claudia has in term of x

9 + 2x

Since they have the same number of charms, we can set these 2 equations above equals to each other

6 + 3x = 9 + 2x

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So E is the correct answer

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3 years ago

-4x – 4y = -8 -2x + 4y = –10

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Answer:

–10

Step-by-step explanation:

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2 years ago

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

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3 years ago

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2 years ago