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igomit [66]
4 years ago
7

A. How many lines of symmetry does a regular polygon have? B. Give a rule for the number of lines of symmetry in a regular polyg

on. In two or more complete sentences, justify the rule.
Mathematics
1 answer:
svetoff [14.1K]4 years ago
3 0
A regular polygon have the number of lines of symmetry equal to the number of sides of the regular polygon.

An equilateral triangle is regular polygon with three sides. An equilateral triangle has three line of symmetry.

Similarly, a square is a regular polygon wth four sides. And a square has four lines of symmetry.
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NEED HELP AND QUICKKK!!!!!!!!!!!!
Montano1993 [528]

Answer:

(5). Finial\ amount(A)=\$3619.80

(6). a=5,\ b=0.5

(7). A=33236

Step-by-step explanation:

(5).

Monthly\ compound\ interst\ is\ given\ by\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\\\\Where\ A= Final\ amount\\\\P= Initial\ amount\\\\r=annual\ interest\ rate\\\\n=number\ of\ times\ interest\ is\ compounded\ per\ unit\\\\t=time\ in\ year\\\\Given,\\\\Initial\ amount\ (P)=\$ 3500\\\\annual\ interest\ rate\ (r)=6.75\%\\\\t=6\ month=\frac{1}{2}\ year\\\\n=12\\\\A=3500\left(1+\frac{6.75}{12\times 100}\right)^{\frac{1}{2}\times 12}\\\\A=3500\left(1+0.005625\right)^6\\\\A=3500(1.005625)^6\\\\

A=3500\times 1.03422818\\\\A=\$3619.80

(6).

Exponential\ decay\ formula\ is\ given\ by\\\\y=a(1-b)^x\\\\Where\  (a)\ is\ initial\ amount\ and\ (b)\ is\ decay\ factor\\\\Given,\\\\y=5\times(0.5)^x\\\\y=5\times(1-0.5)^x\\\\compare\ with\ exponential\ decay\ formula\\\\a=5,\ b=0.5

(7).

Given,\\\\Initial\ population=45000\\\\annual\ decrease=2\%\\\\n=15\ years\\\\ Decrease\ population\ is\ given\ by\\\\A=P\left(1-\frac{r}{100}\right)^n\\\\Where\ P\ is\ initial\ population\ r\ is\ decrease\ rate\ and\ n\ is\ number\ of\ years\\\\A=45000\left(1-\frac{2}{100}\right)^{15}\\\\A=45000(0.98)^{15}\\\\A=45000\times 0.738569\\\\A=33235.60\\\\A\approx 33236

3 0
3 years ago
A restaurant bill comes to 39.24 fine the total when tax is 7% and tip is 15%
xz_007 [3.2K]

Answer:

hjv j

Step-by-step explanation:

  kkj

8 0
4 years ago
Which of these numbers is a square number : A ) 4×10/5 <br> B) 9×10/4 <br>C) 4×10/3<br>D) 9×10/3​
jekas [21]
I think the answer will be B
5 0
4 years ago
Which of the following ordered pairs represents a solution<br> to the linear equation y = 5 - X?
lina2011 [118]

Answer:

You have to put an attachment file of the options or what x equals.

Step-by-step explanation:

4 0
3 years ago
Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0
3 years ago
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