The sum of four consecutive integers is 342. What is the third term in the sequence

Mathematics

1 answer:

Fofino [41]3 years ago

4 0

Answer:

Step-by-step explanation:

let four consecutive integers: n , n+1 , n+2 , n+3

n + n+1 + n+2 + n+3 = 342

4n + 6 = 342

4n + 6 - 6 = 342 - 6

4n = 336

divid by : 4

n = 84

but the third term is : n +2 so : 84+2 = 86

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Dafna11 [192]

Answer:

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Step-by-step explanation:

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sertanlavr [38]

Step-by-step explanation:

DA is tangent and at point A and OA is radius of the circle.

$\therefore OA \perp DA\\\therefore \angle OAD = 90°\\In\: \triangle AOD\\m\angle AOD= 180° - (m\angle OAD + m\angle ODA) \\\therefore m\angle AOD= 180° -(90°+28°)\\\therefore m\angle AOD= 180° -118°\\\huge \red {\boxed {\therefore m\angle AOD=62°}} \\\\b) \\\because m\angle ABC = \frac{1}{2} \times m\angle AOD\\$