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2 years ago

10

The dotted lines show how to cut the pie. Identify m∠LPM.

1 answer:

Pavel [41]2 years ago

4 0

Answer:

m∠LPM = 60°

Step-by-step explanation:

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Two-step equation<br> 2x+5x=-1<br> What's the answer for x=

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What is the slope of a line parallel to the line whose equation is 2x + 4y = 56.<br><br> HELP ASAP

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2 years ago

A certain theatre is shaped so that the first row has 23 seats and, moving towards the back, each successive row has 2 seats mor

JulsSmile [24]

Answer:

There are $30$ rows in the theater.

Step-by-step explanation:

Given terms.

Seats in order $23,25,27....$ will form an Arithmetic progression.

As the common difference $d=2$ ,same for three consecutive terms so this an AP.

Now accordingly we can put the AP terms.

Total number of seats $S_{n}=1560$

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Seats in the last row $l=81$

Summation of $n$ terms in AP $(S_{n})$

$S_n={\frac{n}{2}[2a+(n-1)d]}$

OR

$S_n=\frac{n}{2}[a+l]$

Using the second equation.

$S_n=\frac{n}{2}[a+l]$

$1560=\frac{n}{2}[23+81]$

$n=\frac{2\times 1560}{23+81}=\frac{3120}{104}=30$

So the number of rows (n) in the theater $=30$

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3 years ago