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Diano4ka-milaya [45]
3 years ago
13

An equilateral triangle has a side length measure that is represented by 2x+4. What is the perimeter of the triangle? And how wo

uld i show this in a model?​
Mathematics
2 answers:
Otrada [13]3 years ago
7 0

The perimeter is 6x + 12, and a model example is attached.

All three sides of an equilateral triangle are the same, so multiply the side length by 3 to find the perimeter.

3(2x + 4)

Now distribute the 3.

3 * 2x + 3 * 4

6x + 12

alekssr [168]3 years ago
5 0

6x+12 is P

All sides are same so add up (2x+4)+(2x+4)+(2x+4)

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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
1 − 3 10 . Write the answer as a fraction
Brilliant_brown [7]

Answer:

7/10

Step-by-step explanation:

7 at the top, 10 at the bottom

8 0
3 years ago
Please help me answer this!!!!​
garik1379 [7]
<h3><u>Answer</u><u>:</u></h3>

7 \frac{1}{2}

<h3><u>Explan</u><u>ation</u><u>:</u></h3>

First, convert any mixed numbers to fractions. An easy way to convert:

4 \frac{1}{2}  = 4 \times 2 + 1

<h3>=</h3>

\frac{9}{2}  \div  \frac{3}{5}

Then, apply the fractions formula for division.

\frac{9 \times5 }{2 \times 3}  =  \frac{45}{6}

Then, simplify.

\frac{45}{6}   = 7 \frac{1}{2}

5 0
3 years ago
Ahome cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
Naily [24]

Answer: the answer is b.

Step-by-step explanation: if you read the graph, you will see number of square feet, X the third one over you will see 100 over 40 and if you duplicate both then you get 200 for the number of square feet and 80 minutes, I hop this helps ツ.

4 0
3 years ago
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The population of fish in a certain lake increases, on average, by 1.8% per year. If there are 950 fish currently in the lake. H
JulijaS [17]
To do this, you must do 950x1.8%, and get the number. Then add that number and 950 to get the amount of fish in it after one year. Repeat those steps 9 more times and you get your answer. In this case, the answer would be 1,313 fish. Your welcome!
5 0
3 years ago
Read 2 more answers
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