Are all equilateral triangles congruent Why?

Answers

Answer 1

For a triangle to be equilateral all its angle should be same which is 60° but for them to be congruent their sides should also be same in measure.

Therefore two equilateral triangles are not always congruent with one another as because there can be difference in the measure of their sides.

The sum of angles of a triangle is 180 degree  which is the sum of angles of the triangle's three angles.

There are three types of triangles based on different aspects .

Based on the lengths of their sides, triangles can be classified as

ScaleneIsoscelesEquilateral

As in an equilateral triangle all of the sides are of the same length. and all the angle measure will be 60 degrees. An equilateral triangle is also known as an equiangular triangle since its angles are all the same.

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Related Questions

Given that -5 < -3, which statement is not true?

-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,

Answers

Answer:

-3 is less than -5

Step-by-step explanation:

the bigger the negative number is, the less it has a great amount of value.

-3>-5 is correct because -3 is greater than -5

-5 is to the left of -3 on the number line is true

-3 is to the right of -5 on the number line is true as well

hope this helps! : )

It’s -3 is to the right of -5

Analyze the diagram below and complete the instructions that follow.
S
T
U
vo
ro
R
If ARST is an equilateral triangle, find x and y.

Answers

Answer:

x = 120

y = 30

Step-by-step explanation:

Given that RST is equilateral, each of its interior angles will be 60 degrees

Looking at x, it lies on a starting line with one of the interior angles of RST

The sum of angles on a straight line is 180

Thus;

x + 60 = 180

x = 180-60

x= 120

Looking at triangle RSU, the markings indicates that we have an isosceles triangle

For an isosceles triangle, the base angles are equal in value

This means that SRU is also y

Mathematically, the sum of angles in a triangle is 180

Hence;

x + y + y = 180

x + 2y = 180

120 + 2y= 180

2y = 180-120

2y = 60

y = 60/2

y = 30

Which table represents a linear function?

Answers

Answer:

the first one on the top left corner

it it bc on the right side of the table is counting by twos and so therefore on the left should be added 2 with that number

Answer:

Top left.

Step-by-step explanation:

Because it's constant. X increases by 2 and y increases by 3.

Za and Zb are complementary angles. Za measures 37°.
What is the measure of Zb?

Answers

Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

The legs of a right triangle have lengths x and x + 2. If x = 6, what is the length of the hypotenuse?
A. 4
B. 6
C. 8
D. 10

Answers

I believe it is c so that would be 8, Ide double check though

Please Help ASAP!!!!!!!!

Answers

Answer:

2 i think

Step-by-step explanation:

the answer is 2 because the answer is 2

PLEASE HELP DUE MONDAY
P is a function that gives the cost, in dollars, of mailing a letter from the United States to
Mexico in 2018 based on the weight of the letter in ounces, w.

1. How much does it cost to send a letter
that weighs 1.5 ounces? 2 ounces?


2. Sketch a graph of the function on the
coordinate plane
postage (dollars)

Answers

Answer:

1: 1.5 would be 1.72 and 2 would also be 1.72.

2: Draw points at (0,1.15) (1, 1.72) (2, 2.29) (3, 2.86) Flatline Connections

Step-by-step explanation:

If Im reading it right you take 1.5 ounces and plug it into the function (it would be between 1 and 2) it would spit out 1.72 (which I'm assuming is the postage)  

It will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

first, let us find a relation between postage(dollars) and weight(ounces)

this is an equation of a straight line passing through (0,1.5) and (2,0).

y=mx+c

[tex]P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\[/tex]

since it passes through (2,0) it will satisfy the equation

therefore, c =1.5

the equation will be: [tex]P(w)=-0.75w+1.5[/tex]

after we merge both the relations, we find a single relation between cost and weight

since the cost value is 1.72 in 1 <w [tex]\leq[/tex]2

if weight is 1.5 ounces it is clearly $1.72

if weight is 2 ounces it is clearly $1.72

therefore, it will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

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PLZ HELP
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.


x 1 2 3 4
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = −9
Geometric, common ratio = 9
Geometric, common ratio = −9

Answers

Answer:

The second item is the correct one , i mean arithmetic , common difference = -9 .

Step-by-step explanation:

Hope this helps u , good luck ;)

Answer:

The correct option among the others is B

Step-by-step explanation:

Which equation best represents the relationship between x and y shown in the table.

Answers

Answer:

the answer is D) y=2x+2

as

2=2*0+2

10=2*4+2

18=2*8+2

hope this helps

The point (3,2) reflected in the x-axis is (
,
).

Reflect (3,2) in the y-axis.

The point (3,2) reflected in the y-axis is (
,
).

Answers

Answer:

reflected across the x-axis is 3,-2 and the y axis is -3,2

Step-by-step explanation:

When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead

HELP ASAP ILL MARK BRAINLIEST

What is the distance between tho y-Intercept of the function (x) = 3(2) and tho y-intercept of the the function g(x) represented by the table below?
х
g(x)
-5
15
- 2
3
2
-13
и |
-25
2 units
3 units
O 8 units
O 9 units

Answers

Im pretty sure its 8 units


the inequality sign.
If you multiply or divide both sides of an inequality by a negative number, you must
А
double
reverse
С
subtract
D
add an equal sign to

Answers

Reverse the inequality sign.

answer anybody?? i can't do math like at all lol

Answers

Essentially, what we're looking at here are two alternate interior angles.

Wait. What? Alternate interior angles?

It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.

Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.

Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.

If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:

7x - 7 = 4x + 14

Subtract 4x from both sides:

7x - 4 x - 7 = 4x - 4x + 14

3x - 7 = 14

Add 7 to both sides:

3x - 7 + 7 = 14 + 7

3x = 21

Divide both sides by 3 to completely isolate x:

[tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]

x = 7

And that's our answer! If you need me to explain anything any further, just ask!

- breezyツ

plzzz help square paralellogram

Answers

Answer:

1. x=12

2. x=7

Step-by-step explanation:

find the length of the arc shown in red ASAP

Answers

Answer:  16.75

Step-by-step explanation:

you might need to round up to 17 if 16.75 isn't an answer on your assignment

Translate story problems into equations. Solve equations. Translate story problems into inequalities.

Answers

Translate story problems into equations. Solve equations. Translate story problems into inequalities.

Step-by-step explanation:

solve inequalities

by:

Add (or subtract) a number from both sides

Multiply (or divide) both sides by a positive number

Simplify a side

4(x+2)=4x+8 need help

Answers

Answer:

True

Step-by-step explanation:

Any value of x makes the equation true

All Real numbers

(-∞)(∞)

How many years would 18 months be?
1.5 years
1.8 months
about 2 years

Answers

Answer:

18 months=1.5 years

Step-by-step explanation:

I hope this helps

Answer:

1.5 years

Step-by-step explanation:

1 year = 12 months

18/12 = 1[tex]\frac{6}{12}[/tex] = 1.5 years

Which organisms are examples of decomposers?
A. rabbits
B. lions
C. fungi
D. trees

Answers

Answer:

C. fungi

Step-by-step explanation:

Here only Fungi is an example of decomposer.

Rabbits and lions are examples of consumers.

Trees are an example of producers.

The following list defines and provides examples of the feeding (trophic) levels that comprise food webs:

Producer: organism on the food chain that can produce its own energy and nutrients. Examples: grasses, Jackalberry tree, Acacia tree

Primary consumer/herbivore: organism that eats mainly plants. Examples: cows, impalas, warthogs, zebras

Secondary consumer/carnivore: organism that eats meat. Examples: leopard, lion

Omnivore: organism that eats a variety of organisms, including plants, animals, and fungi. Examples: humans, aardvarks

Decomposer/detritivores: organisms that break down dead plant and animal material and waste and release it as energy and nutrients in the ecosystem. Examples: bacteria, fungi, termites

Scavenger: animal that eats dead or rotting animal flesh. Examples: vultures, hyenas

Insectivore: organism that mostly eats insects. Example: Red-billed oxpecker

Answer:

C. Fungi

B. Lions

Step-by-step explanation:

C. fungi are called decomposers because they break down the dead and decaying organic matter into simpler substances such as carbon dioxide, water, simple sugars, and mineral salts and provide the nutrients back to the soil

B. A decomposer is a living thing that gets energy by breaking down dead plants and animals, lions eat other animals to get energy.

David made a batch of 5 liters of blue liquid everyday for 3 days how many milliliters of blue liquid did he make in all

Answers

Answer: 15000 millimeters

Step-by-step explanation:

Since David David made a batch of 5 liters of blue liquid everyday. The number of liters that'll be made for 3 days will be:

= 5 liters × 3

= 15 liters

We should note that 1000 millimeters = 1 liter. Therefore, 15 liters will be converted to millimeters which will be:

= 15 × 1000

= 15000 millimeters

Convert radians to degrees
Show all the work
6. 3.8 radians
8. 5π/4(this is a fraction)

Answers

Answer:

Below in bold.

Step-by-step explanation:

Degrees = radians * 180/π.

6. 3.8 radians = 3.8 * 180 / π

    = 217.7 degrees to nearest hundredth.

8. 5π/4 radians = 5π/4 * 180/π

     =  5*180/4

     =  225 degrees.

Alicia’s family wants to save for a four-year college education for her. After some research, they estimate that the total cost will be about $78,000. How much should her family save if she is 12 years old and plans to go to college in 6 years?
Select one:

$6,500 each month

$1,100 each month

$4,350 each month

$550 each month

Answers

Answer:

Step-by-step explanation:

$1,100

A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 30; Q1 = 20 Median = 33; Q1 = 20 Median = 30; Q1 = 25 Median = 33; Q1 = 25

Answers

Answer:

the answer is the last one median= 33; Q1= 25

7,945100 is equal to which number?


7,945


79.45


0.7945


7.945

Answers

Answer:

7.945 Million the answer. yah...

What is the approximate area of the shaded sector in the circle shown below?
A. 22.90 cm2
5.4 cm
B. 8.48 cm2
c
C. 11.45 cm2
180°
D. 16.96 cm2

Answers

Answer:

The correct answer is [tex]11.45 cm. ^2[/tex]

Step-by-step explanation:

I just got it correct.

The approximate area of the shaded sector in the circle shown is,

⇒ 11.45 cm²

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

A circle is shown in figure with diameter 5.4 cm.

Hence, Radius of circle = 5.4 / 2 = 2.7 cm

Since, Area of circle = πr²

Hence, We get;

Area of circle = πr²

Area of circle = 3.14 × 2.7²

Area of circle = 22.89 cm²

Thus, Area of shaded region of the circle is,

⇒ 22.89 cm²

⇒ 22.89/2 cm²

⇒ 11.45 cm²

Thus, The approximate area of the shaded sector in the circle shown is,

⇒ 11.45 cm²

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Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will be in the IRA if Ed retires at the age 60.

Answers

Answer:

FV= $123,879.85

Step-by-step explanation:

Giving the following information:

Montlhy deposit (A)= $100

Monthly interest rate (i)= 0.09/12= 0.0075

Number of periods (n)= 12*26= 312 months

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0075^312) - 1]} / 0.0075

FV= $123,879.85

A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from the spot directly under the kite?

Answers

Answer:

61.57 ft

Step-by-step explanation:

Look at the picture. You need to find the base value.

so we can sue the cosine formula here.

cos x° = adjacent / hypotaneous

cos 52 ° = adj / 100

adjacent = 100 cos 52°

               =61.57 ft

Answer:

the man is 61.6 ft away from the spot directly under the kite.

Step-by-step explanation:

in order to find the bottom length which is b we need to First find the height of this right angle triangle.

to find the height we need to use sin:

sin 52° = X/100

sin 52° * 100 = h

h= 78.8 ft

next we can find b which is the base of the triangle.

a^2+b^2=c^2

100^2 +b^2 = 78.8^2

100^2 -78.8^2 = b^2

b^2= 3790.56

b= 3790.56

b= 61.6 ft

therefore the man is 61.6 ft away from the spot directly under the kite.

Please answer this ASAP !!
Thank you (picture attached).

Answers

It is going through you

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Una comercializadora de café necesita construir una bodega con forma de cubo. La capacidad de la bodega debe ser de 216 metros cúbicos ¿cuánto debe medir la arista de la bodega?

Answers

Answer:

La arista de la bodega debe medir 6 metros.

Step-by-step explanation:

Podemos encontrar la arista de la bodega sabiendo su volumen:

[tex] V = a^{3} [/tex]

En donde:

V: es el volumen de un cubo = 216 m³

a: es la arista del cubo =?

La arista del cubo es:

[tex] a = \sqrt[3]{V} = \sqrt[3]{216 m^{3}} = 6 m [/tex]

Por lo tanto, la arista de la bodega debe medir 6 metros.

Espero que te sea de utilidad!

Once sales tax is included, a $500 fancy watch ends up costing $525. What is the sales tax
percentage?

Answers

Answer:

5%

Step-by-step explanation:

since 25 is 5% of 500, the sales tax is 5%.

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