If a triangle is an equilateral triangle, then the triangle has exactly three 60°
angles. △ABC is an equilateral triangle?

Answers

Answer 1

Step-by-step explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60°  angles. Hence, △ABC is an equilateral triangle


Related Questions

please give step by step instructions
2c+3=2c+3​

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Round the following to the 3 significant digits. 456789

Answers

Answer:

456789 to 3 significant figures = 457000

In Danville, the only hospital does not have an emergency room for badly injured patients. Patients with serious injuries are taken to the emergency room in Richmond, 9.8 miles away. On a map of the area, these two hospitals are 2 inches apart. What scale does the map use? Write your answer as a decimal or whole number.

1 inch = _ Miles

Answers

.2041 miles! please look at my picture for steps on how to do it

x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

(-32/7,281/21) is the answer

Brainliest?

help me pls math is so confusing

Answers

here is what i got, it’s just a matter of dividing by 100 when you have to find the percent of something. then you times that number by whatever the percent is!

when f(n)=-8 what is the value of n?

Answers

Answer:

20 the answer is 20 because you plug in 4 for n.

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198
*text messages?

Answers

Answer:

$19.8

Step-by-step explanation:

To find the answer, find the  ratio.

Answer: 1980

Step-by-step explanation:

Set yp a proportion

5.60dollars=56texts

----------------   ----------

198dollars=    x

Then you cross multiply the 198 with the 56

then you divide the 5.60

HELP ME PLS THANK YOU<<<3333

Answers

Answer:

≈ 63.30 ft²

Step-by-step explanation:

Heron formula

A = √p(p - a)(p - b)(p - c)

a = 9 ; b = 15 ; c = 20

p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22

A = √22(22-9)(22-15)(22-20)

= √22×13×7×2

= √4004

≈ 63,27

≈ 63.30 ft²

Calculate the speed of a train traveled 400miles in 5 hours

Answers

Answer:

80 miles per an hour

Step-by-step explanation:

400 divided by 5 equals= 80 so 80miles = 1 hour

Answer:

80 miles per hour.

Step-by-step explanation:

Start with the speed formula.

[tex]speed=\frac{distance}{time}[/tex]

In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.

Substitute:

[tex]speed=\frac{400}{5}[/tex]

Divide.

[tex]400[/tex] ÷ [tex]5[/tex]

Solve:

[tex]400[/tex] ÷ [tex]5=80[/tex]

-5/7 (50/5 - 1/5) explanation too please

Answers

I have this question tooo

PLEASE HELP!!!! Choose the name of the angle notated by the arc.(SHOW WORK) (Will Give Brainiliest) A.TSP B.STP C.TSP

Answers

Are you sure your question is correct? A and C are both the same?

The name of the angle notated by the arc is C. TPS.

Due to the arc, P is the middle letter, so The answer is TPS.

1
3
1
miles in
20
hour. What
Park rangers at a game preserve in Africa observed a cheetah run 3
was the cheetah's speed in miles per hour (mph)?
9
A. mph
50
5
B. 5 mph
9
C. 72 mph
O D. 92 mph

Answers

The answer to the question is B

Pleaseeeeeee Help meee :(((((
(30 points)

Answers

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

4^3x4^7=? HURRYYYYYYYYYYY

Answers

Answer:

4¹⁰

Step-by-step explanation:

4³ × 4⁷ = 4³⁺⁷ = 4¹⁰

Write and real-world problem that could be represented by the inequality below:

x+ 655 < 5x + 600

Answers

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

determine which of the following pairs of triangles are similar.

Answers

C is the answer
they have equivalent sides and equivalent measurements

       Triangles given in Options (b) and (c) are similar.

Theorems of similar triangles:  If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property.  If corresponding sides of two triangles are proportional, both the triangles will be similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

       [tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

https://brainly.com/question/2499350?referrer=searchResults

F(x)=-2x^2 -5x+1
H(x)=3(x+3)^2-11

H(f(-1))=?

A.132
B. 136
C.140
D.144

Answers

Answer:

B

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]

And we want to find:

[tex]h(f(-1))[/tex]

So, find f(-1) first. Substitute -1 into f(x):

[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]

Square:

[tex]f(-1)=-2(1)-5(-1)+1[/tex]

Multiply:

[tex]f(-1)=-2+5+1[/tex]

Add:

[tex]f(-1)=4[/tex]

Now, substitute this into h(f(-1)):

[tex]h(f(-1))=h(4)[/tex]

So, substitute 4 into h(x):

[tex]h(4)=3(4+3)^2-11[/tex]

Add:

[tex]h(4)=3(7)^2-11[/tex]

Square:

[tex]h(4)=3(49)-11[/tex]

Multiply:

[tex]h(4)=147-11[/tex]

Subtract:

[tex]h(4)=136[/tex]

So, our answer is B.

And we're done!

Which table represents a linear function?


1
1
y
1
2
1
XIN
1
2
2
2
3
4
9
13
21
3
12
2
3
AWNI
4
4
Х
1
у
0

2
3
4
6
16
30

Answers

Answer:

Step-by-step explanation:

H

What way of solving systems would you Ik use for these two equations ? X=3 y=2x+1

Answers

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

Sort the objects according to their densities. Which will float? Which will sink?
Remember, water has a density of 1 gram per cubic centimeter.
Clay: 54 g/45 cm
Float in Water (density < 1 g/cm)
Sink in Water (density > 1 g/cm”)
Brick 38 g/20 cm
Oak wood: 56 g/80 cm
Wheat 24 g/30 cm
Butter: 8.7 g/10 cm

Answers

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

i'm over this please

Answers

Answer:my answer is oooof

Step-by-step explanation:

x=127

since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127

B·11 identity the expression as a numerical expression or algebraic expression

Answers

Answer:

Step-by-step explanation:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.

Nicole lives in a home worth $135000. She has a mortgage of $88000. She owes $42000 on her car that is worth $11000. She has a credit card balance of $28000. She also has a checking account with a balance of $900 and $300 in gift cards. What is Nicole's net worth?

Answers

Answer:

305,200

Step-by-step explanation:

A.)4
B.)10
C.)18
Which one could be the answer I’m lost.

Answers

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

Someone please help and let it be the right answer I'm failing math

Answers

Answer:

Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.

HELP!!! what is the answer to this 5(2)+5(7)

Answers

Answer:

45

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

5(2) + 5(7)

Step 2: Multiply

10 + 35

Step 3: Add

45

Answer:

45

Step-by-step explanation:

Parenthesis means you would need to multiply

so

(5 x 2) + (5 x 7)

= 10 + 35

add

= 45

Aline passes through (2, -1) with slope 3.
What is the equation of the line in slope-intercept form?

Answers

the equation is y = 3x-7

Evaluate the expression. -12 divided by 4 - 6

Answers

I got -9 because u divided -12 by 4 which equals -3 and then subtract 6 and get -9

Answer:

-9

Step-by-step explanation:

Hope this helps.

(-5)+(+7)=( ____) ???

Answers

Answer: 2

Step-by-step explanation:

1. What is the solution for 2x-5=7

O x = 6
O x = -6
X = 12
O x = 9

Answers

Given, equation in the question which we have to solve is

[tex]2x - 5 = 7[/tex]

Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,

[tex]2x - 5 + 5 = 7 + 5[/tex]

[tex]2x = 12[/tex]

Divide 2 from both sides,

[tex] \frac{2x}{2} = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

So, the correct option is A.

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