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Helga [31]
3 years ago
14

Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each

side? Use an equation to solve
Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: P=95.4cm

Number of sides of the polygon: n=6

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

P=nl

where n is the number of sides and l is the length of each side.

So we clear for l and we get:

l=\frac{P}{n}

and subtituting the known values:

l=\frac{95.4cm}{6}\\ l=15.9cm

each side is 15.6 centimeters long

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Which value c makes the expression x² + 2x + c a perfect square trinomial?
Ilia_Sergeevich [38]

Answer:

<u>A</u>

Step-by-step explanation:

Taking c = 1 :

  • x² + 2x + 1
  • x² + x + x + 1
  • x(x + 1) + 1(x + 1)
  • (x + 1)(x + 1)
  • (x + 1)² ⇒ Perfect square trinomial
4 0
2 years ago
Evaluate B raised to the second power for B=9
yanalaym [24]
The answer would be 81
6 0
3 years ago
Read 2 more answers
AB has a vértices at (-5,1) and (-3,7). After a transformation, the image had endpoints at (3,-1) and (5,5). Describe the transf
Scrat [10]
That looks like a translation; let's check.  We have

A(-5,1), B(-3,7), A'(3,-1), B'(5,5)

If it's a translation by T(x,y) we'd have

A' = A + T

B' = B + T

so 

T = A' - A = (3,-1) - (-5,1) = (8,-2)

and also 

T = B' - B = (5, 5) - (-3, 7) = (8,-2)

They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.

 



5 0
3 years ago
Read 2 more answers
15 points!!! GEOMETRY help please!!<br> Questions attached!
dolphi86 [110]
3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o

Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8

Used:\ (a+b)^2=a^2+2ab+b^2

Answer:\ \boxed{4.8\ units}

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
We know:

k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1

therefore

-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

So. We have the answer! :)

Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

6 0
3 years ago
True or False?
neonofarm [45]
FALSE!\\The\ segments\ below\ couldn't\ form\ a\ triangle.\\\\a,b,c-lengths\ sides\ of\ a\ triangle,\ then:\\\\a+b > c\\a+c > b\\b+c > c\\\\Here:a=9;\ b=4;\ c=15\\\\a+b=9+4=13 < 15!!!!
7 0
3 years ago
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