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3 years ago

What are the steps for using a compass and straightedge to construct an equilateral triangle?

2 answers:

6 0

The steps for using a compass and straightedge to construct an equilateral triangle are as follows:

1. Construct a circle with point E as the center and a circle with point F as the center with each circle having radius EF

2. Construct line EF

3. Construct a point at one of the two intersection points of circle E and circle F and label this point G

4. Construct line EG and line FG.

kumpel [21]3 years ago

5 0

Let's take a look at the available steps and see what makes sense. "Construct a point at one of the two intersection points of circle E and circle F and label this point G" ** We don't have anything drawn yet, so this step goes later. "Construct EGÂŻÂŻÂŻÂŻÂŻ â€‹ and FGÂŻÂŻÂŻÂŻÂŻâ€‹" ** Same issue, nothing done yet. But this looks like it would be the last step. "Construct â€‹ EFÂŻÂŻÂŻÂŻÂŻâ€‹" ** OK. We can draw a line and label the end points E and F. So make this step 1. "Construct a circle with point E as the center and a circle with point F as the center with each circle having radius EF" ** This looks like it would also work for step 2, since we've already constructed the line segment EF. So the entire process looks like: 1. Construct â€‹ EFÂŻÂŻÂŻÂŻÂŻâ€‹ 2. Construct a circle with point E as the center and a circle with point F as the center with each circle having radius EF . 3. Construct a point at one of the two intersection points of circle E and circle F and label this point G. 4. Construct EGÂŻÂŻÂŻÂŻÂŻ â€‹ and FGÂŻÂŻÂŻÂŻÂŻâ€‹.

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Which of the following expressions are equivalent?

shtirl [24]

Answer:

the second option

Step-by-step explanation:

5+(1+3)= (5+1) +3

hope this helps :)

5 0

3 years ago

Find dx/dt when y=2 and dy/dt=1, given that x^4=8y^5-240 dx/dt=

katrin2010 [14]

Answer:

The value of $\frac{dx}{dt}$ is $\frac{160}{x^3}$ .

Step-by-step explanation:

The given equation is

$x^4=8y^5-240$

We need to find the value of $\frac{dx}{dt}$ .

Differentiate with respect to t.

$4x^3\frac{dx}{dt}=8(5y^4)\frac{dy}{dt}-0$ $[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]$

$4x^3\frac{dx}{dt}=40y^4\frac{dy}{dt}$

It is given that y=2 and dy/dt=1, substitute these values in the above equation.

$4x^3\frac{dx}{dt}=40(2)^4(1)$

$4x^3\frac{dx}{dt}=40(16)(1)$

$4x^3\frac{dx}{dt}=640$

Divide both sides by 4x³.

$\frac{dx}{dt}=\frac{640}{4x^3}$

$\frac{dx}{dt}=\frac{160}{x^3}$

Therefore the value of $\frac{dx}{dt}$ is $\frac{160}{x^3}$ .

4 0

3 years ago

Select the graph that represents two quantities in a proportional relationship

dlinn [17]

The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-

Y = 2x

Put y = 0.5

0.5 = 2 x 0.5 = 1

As we put y=0.5 we get the value of x = 1 as shown in the graph.

Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

3 0

2 years ago

If the area of a park is exactly halfway between 2.4 and 2.5 acres what is the area of the park

Paul [167]

Get the distance between two acres.

2.5 - 2.4 = 0.1

Divide the diffence by 2
0.1 / 2 = 0.05 - Halfway between them.

Therefore, 0.05 must be taken from 2.5 acres. it must be added to 2.4 acres to get the exact area of the park.

2.5 - 0.05 = 2.45
2.4 + 0.04 = 2.45 acres

OR

Simply get the average of the two to get the area since it is exactly halfway between the two acres of land.

2.5 + 2.4 = 2.9 / 2 = 2.45 acres

8 0

3 years ago

Read 2 more answers

Steven has to produce a survey for his class project due tomorrow, although he really wants to go to the local high school footb

zimovet [89]

Answer:

the data would be faulty because he's handing out the survey atva football game which is a team sport that focuses on group achievement. surveys should be done in neutral places. given that people are at a football game they'll tend to say they prefer team sports

3 0

4 years ago

Read 2 more answers