Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.

Since;

<B = <C = 60°

Then,

<A + <B + <C = [tex]180^{o}[/tex]

<A + 60° + 60° = [tex]180^{o}[/tex]

<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]

    = 60°

Thus,

AB = BC = AC = 6 inches

The construction is attached to this answer.

Draw Triangle ABC By First Drawing Segment BC Six Inches Long. Then Draw A 60 Angle At Vertex B And A

Related Questions

I need some help please​

Answers

Answer:

a

Step-by-step explanation:

-5,-13

I hope this helps

The perimeter of the patio is 32 metres. The garden itself is a square shape.

What is the total area of the garden and the patio?

Answers

Answer:

64

Explanation:

If the garden is a square shape then all sides are equal.

One and all sides are 8 meters.

8 times 8 is 64

Synthetic Division

(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)

Answers

Answer:

[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]

[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]

                                                                                                                                                                               

                                                                               [tex]\frac{1}{2}[/tex]  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]

[tex]Remainder =-9[/tex]

                                                                                                                                                                       

Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17

Answers

Answer:-17

Step-by-step explanation:

45-28=17

It’s -17 because u just subtract

What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)

Answers

Answer:

x= 19/7

Step-by-step explanation:

Find the slope!! Pls help

Answers

Answer:

1/3

Step-by-step explanation:

The slope goes up one over three. if u need a whole equation then it would be y=1/3x

if you need a slope intercept equation then it would be y=1/3x-4.

Answer: -5,3

Step-by-step explanation: the bottom boxes on the left are negative so i counted until the dot was and thats how i got my negative five. For the three I did the same thing just the right side inst negative so that is how i got 3.

Which statement is true about the lengths of the sides?
Each side has a different length,
Two sides have the same length, which is less than
the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the
length of the third side.

Answers

Answer:

The three sides have the same length.

Step-by-step explanation:

Answer:

B. Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

I think,  :-P

Reflections of the coordinate plane homework 3

Answers

Answer:

can we have more info please?

Step-by-step explanation:

A teacher weighed 145 lbs in 1986 and weighs 190 lbs in 2007. What is the rate of change in weight? HELP

Answers

Answer:

c

Step-by-step explanation:

she gained 45 pounds which is 15/7 of 145

The answer is 15/7 and here’s the explanation :)

DO NOT GIVE ME THE ANSWER! Please just tell me how I can find the answer!

Answers

Answer:

9x$1.92

Step-by-step explanation:

Which storm is likely to cause quick destruction along a narrow path?

hurricane

thunderstorm

tornado

Answers

Answer:

tornado bc they are narrow and can cause great destruction :) hope I helped !

A tornado is the storm that is likely to cause quick destruction along a narrow path.

What is storm?

A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.

Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.

They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.

While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.

Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.

Hence,  tornado is the storm that is likely to cause quick destruction along a narrow path.

To learn more on Storms click:

https://brainly.com/question/11163773

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There are 3 cubes in a bag. Two are red and one is green. Sammy randomly selected a cube, put it back and selected another cube. What is the probability of getting to reds?

Answers

Answer: 2/3

Step-by-step explanation:

Number of red cubes = 2

Number of green cubes = 1

Total cubes in the bag = 3

The question relates to a probability with replacement. The probability of getting two reds will be the probability of picking red the first time multiplied by the probability of picking red the second time. This will be:

= 2/3 × 2/3

= 2/3

The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.

Answers

Here’s the answer w the explanation. Answer: Lee’s is beating faster.
Nancy’s heart beats were faster. As you can see from the graph, Nancy is currently going at a rate of 1.25 beats per second as opposed to Lee’s 1.2 beats per second. You can figure this out from dividing
Y/x=rate
I can choose any point of the graph which I can divide.
For this case I choose (20,25)
So I divide 25/20 and I will get 1 5/20 rounding to 1 1/4 and then converted to 1.25 beats per second.
Hope that helps!!

A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed for all the visitors?

Answers

Answer:

12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12

A student is learning about positive and negative numbers with manipulatives. Each black cube represents + 1 , and each white cube represents − 1 . If there are currently 15 black cubes on the student's desk, how many white cubes must the student add to the desk for the combined value of the cubes to represent 0 ?

Answers

Answer:

15 white cubes

Step-by-step explanation:

Given

[tex]White\ Cubes = -1[/tex]

[tex]Black\ Cubes = +1[/tex]

[tex]Number\ of\ Black\ Cubes = 15[/tex]

Required

Determine the number of white cubes needed to represent 0

To solve this question, we make use of the following equation.

[tex]Black\ Cubes +White\ Cubes = 0[/tex]

If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15

Substitute +1 * 15 for the Black Cubes

[tex]+1 * 15 +White\ Cubes =0[/tex]

[tex]+15 +White\ Cubes =0[/tex]

Collect Like Terms

[tex]White\ Cubes = 0 - 15[/tex]

[tex]White\ Cubes = - 15[/tex]

Recall that 1 white cube is worth -1

So, the number of white cubes is:

[tex]Number = \frac{-15}{-1}[/tex]

[tex]Number = 15[/tex]

Hence, the student needs 15 white cubes

What is the slope of the line?

Answers

Answer:

-3/4

Step-by-step explanation:

5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>

Answers

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats? I need help ASAP ...

Answers

Answer:

5 = 25

3 = 15

Step-by-step explanation:

25/5 = 5

So, 5 x 5 = 25

      3 x c =

Then, 3 x 5 = 15

5 = 25

3 = 15

Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars

Answers

Answer:

The amount charged for a hamburger is $11

Step-by-step explanation:

The function relating the amount d charged with the number of hamburgers is;

d = 3h + 8

The amount charged for a hamburger can be calculated by substituting the value 1 for h

Thus, we have;

d = 3(1) + 8 = $11

y + 2x = −1
3y − x = 4

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

y+2x=−1

Step 1: Add -y to both sides.

2x+y+−y=−1+−y

2x=−y−1

Step 2: Divide both sides by 2.

2x

2

=

−y−1

2

x=

−1

2

y+

−1

2

Answer:

x=

−1

2

y+

−1

2

Answer:

Answers below

Step-by-step explanation:

Q1.  2x=−1−y

=

​2

​−1−y

​​

Q2.     −x=4−3y

x=−4+3y

x=3y−4

Round each decimal to the nearest tenth
4. 13.392
5. 27.149
6.8.84858
Help!!

Answers

Answer:

13.4

27.1

8.8

Step-by-step explanation:

hope that helps

Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Replace the values of hand kto create the equation of the transformed function.

Answers

Answer: h = 4 and k = 1

Step-by-step explanation:

Just took the test aye

Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

7x+3 = 8x +1

x=2

the answer is 2

pleaseeee helpppp :(((((

Answers

Answer: With what??? I don't see nun

Answer:

I do not see any files or papers attached.

Step-by-step explanation:

does anybody even understand algebra?

Answers

Answer:

I do not understand thank you for asking

Step-by-step explanation:

thank you

Answer:

B (2,22)

Step-by-step explanation:

Simplify the expression using the distributive property.

–4(–3x + 11)



1. Distribute the –4 through the parentheses: -4(–3x) + (-4)(11)

2. Find each product: _____x -44

Answers

Answer:

Find each product: 12x × -44

I hope this helps!

Answer:

0) 12x-44

1) 12x-44

2) 12

Step-by-step explanation:

Hope it help, please give me brainlest! :)

write 9/20 as a decimal

Answers

Answer:

0.45

Step-by-step explanation:

Divide 9 by 20.

A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.


Which describes the motion of the box based on the resulting free-body diagram?

A. It is moving up with a net force of 20 N.

B. It is moving to the right with a net force of 10 N.

C. It is in dynamic equilibrium with a net force of 0 N.

D. It is in static equilibrium with a net force of 0 N.

Answers

Answer:

It is in static equilibrium

Explanation:

edge 2021

The box is in static equilibrium, with a net force of 0 N.

Option D is the correct answer.

What is static equilibrium?

Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.

In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.

We have,

The box is at rest and is not moving.

This means that the net force acting on the box is zero.

From the free-body diagram,

We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.

Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.

So,

The box is in static equilibrium, with a net force of 0 N.

Thus,

The box is in static equilibrium, with a net force of 0 N.

Learn more about static equilibrium here:

https://brainly.com/question/30762026

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The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the larger polygon.

Answers

Answer:

42sq

Step-by-step explanation:

       5:7

30 sq: x sq

30/5=6 sq for 1 of the ratio

6*7=42 sq for 7 of the ratio

. One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.

Answers

Answer:

c=5b-25

Step-by-step explanation:

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