Find the measure of one interior angel if a regular 23-gon

Mathematics

1 answer:

Anit [1.1K]3 years ago

3 0

The 23 <em>exterior</em> angles add to 360. The interior angles are supplements of the exterior angles.

180 - 360/23 = 3780 / 23 = 164.3478...

Answer: a

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An office building rents for $40,000 the first year, then increases by 0.5% each year. Use summation notation to represent the t

Sholpan [36]

Given the initial rent is $40000, and the rent is increased by 0.5% each year, the rent in the third year will be given by:
FV=P(1+r)^n
FV=40000(1.05)^n
Thus the answer for the sum of payments for 3 years will be:
The summation is 1.05 raised to n years times $40000, where the years is from 0 to 3.

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3 years ago

Read 2 more answers

Graph y < x2 + 4x. Click on the graph until the correct graph appears.

jonny [76]

Answer: The correct answer is:

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The given "graph" in the bottom right, lowest corner

Step-by-step explanation:

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Note: When there is only one (1) equation give for a graph;

and/or: only one (1) "inequality given";

we look for the symbol.

If the symbol is "not" an "equals" symbol (i.e. not an: = symbol) ;

we check for the type of "inequality" symbol.

If there is a: "less than" (<) ; or a "greater than" (>) symbol; the graph of the "inequality" will have "dashed lines" (since there will be a "boundary").

If there is an "inequality" that is a: "less than or equal to" (≤) ;

or a: "greater than or equal to" (≥) ;

→ then there will be not be a dashed line when graphed;

but rather—a "solid line" ; since "less than or equal to" ;

or "greater than or equal to" —is similar to:

"up to AND including"; or: "lesser/fewer than AND including".).

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Note: We are given the "inequality" :

→ " y < x² + 4x " .

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Note that we have a "less than" symbol (< ) ; so the graph will have a:

"solid line" [and not a "dotted line".].

_________________________________

Note that all of the graphs among our 4 answer choices have "dotted lines".

Not that all values (all x and y coordinated) within the "shaded portion" of the corresponding graph are considered part of the graph.

As such, given any point within the shaded part, the x and y coordinates must match the inequality (i.e. the given inequality must be true when one puts in the "x-coordinate" and "y-coordinate" into the "given inequality" :

→ " y < x² + 4x " .

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Likewise, we can take any point within the "white, unshaded" portion of any of the graph, and take the "x-coordinate" and "y-coordinate" of that point, and the inequality: → " y < x² + 4x " ; will not hold true when the "x-coordinate" and "y-coordinate" values of that point— are substituted into the "inequality".

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{Note: Answer is continued on images attached.}.

Wishing you the best!