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Crazy boy [7]
3 years ago
8

How many sides does a polygon have if the sum of its angle measures is 2700 degrees and how do you find this?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0
the\ sum\ of\ angle\ measures\ is\ 2700^0\\\\(n-2)\cdot180^0=2700^0\\n-the\ number\ of\ the\ sides\ of\ the\ polygon\\\\n-2= \frac{2700}{180} \ \ \ \Rightarrow\ \ \ n-2=15\ \ \ \Rightarrow\ \ \ n=17\\\\Ans.\ 17\ sides\ of\ the\ polygon.
ss7ja [257]3 years ago
6 0
The number of angles equal the number of sides


The number of angles calculate: (n-2)x180°

(n-2)x180°=2700°    |divide both sides by 180°

n-2=15    |add 2 to both siedes

n=13

Answer: 13 sides.


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3 years ago
Use a two-column proof to prove the Triangle Proportionality Theorem:
photoshop1234 [79]

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \frac{AD}{AB}=\frac{AE}{AC}                                           6). Definition of two similar triangles

Hence proved.  

4 0
3 years ago
At a real estate​ agency, an agent sold a house for ​$360,000. The commission rate is 25% for the real estate agency and the com
Orlov [11]

Answer: See explanation

Step-by-step explanation:

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= 25% × $360,000

= 25/100 × $360,000

= 0.25 × $360,000

= $90,000

b. The amount that the agent earn in​ commission will be:

= 30% × $90,000

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= 0.3 × $90,000

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3 0
3 years ago
What is the solution to the inequality shown below?
lesantik [10]

To solve the inequality, you need to isolate/get the variable "p" by itself in the inequality:

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5p + 26 - 26 < 72 - 26

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\frac{5p}{5}

p

p < 9.2       Your answer is A

8 0
3 years ago
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in thi
mamaluj [8]

Answer:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?

First, calculate the rate of change (Slope, once it is a linear function):

I will take the points: (0, 100) and (1, 80)

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Let's understand the graph!

This linear graph is about songs being downloaded in a period of 5 weeks.

In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.

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The Slope-intercept form of linear equations is y=mx+b

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In this case, we have

y=-20x+100

3 0
3 years ago
Read 2 more answers
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