Explain why the sum of the angle measures in any triangle is 180

Answers

Answer 1

Answer:

Step-by-step explanation:

Because every triangle that can ever be made has three sides, you can open up the triangle so that it becomes a straight horizontal line. A horizontal line is also 180 degrees which is why this idea works with triangles.

Answer 2

The reason for the sum of the angles in any triangle is 180 is that when we open up the sides of a triangle we get a straight line where the angle of a straight line is 180 degrees.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles has are equal to 180 degrees.

We have,

The sum of the angle measures in any triangle is 180.

We see that,

In a triangle, there are three sides and three angles.

If we open up the triangle, we see that the three sides of the triangle form a straight line.

The angle of a straight line is 180 degrees.

Thus,

The reason for the sum of the angles in any triangle is 180 is that when we open up the sides of a triangle we get a straight line where the angle of a straight line is 180 degrees.

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Related Questions

Which expression is equivalent to -6 - ( -2 )

PLEASE HELP MEEE

Answers

Answer:

-6 +2 = -4

Step-by-step explanation:

Its simple. Whenever you see two negative signs next to each other, they merge into an addition sign "positive".

-6+2 = -4

complete the function table for the given domain and plot the points on the graph. f(x)=2^x-7

Answers

Answer:

Step-by-step explanation:

what is the solution 2/3x + 5 = 1

Answers

Answer:

x = -6

Step-by-step explanation:

subtract 5 from both sides

2/3 x = -4

multiply by 3

2x = -12

divide by 2

x= -6

Answer:

2=x

Step-by-step explanation:

2/3x+5=1

2/3 is also like division so lets do it this way:

2÷3x+5=1

           -5    -5

______________________-

2÷3x=-4

·3x     ·3x

__________________-

2=-4·3x

+4   +4

______________-

6=3x

÷ 3    ÷3

_______________

2=x

Hope this helps

Express as an integer. A gain of 56 points in a game.

Answers

Answer:

A gain of 56 points in a game: +56

Answer:

+56 or Positive 56

Step-by-step explanation:

pls pls help asap pls​

Answers

Answer:

Step-by-step explanation:

3y+7=2x

3y=2x-7

y=(2/3)x-7/3

when parallel, the y=ax+b, the a keeps the same

so it‘s y=(2/3)x-a

and it pass (2,6), so 6=(2/3)*2 -a

6=4/3-a

-a=(18-4)/3

-a=14/3

a=-14/3

Answer:

ok. me ayush where we meet

HELP ILL GIVE 10 PTS hurry pleasee

Answers

4(x+15)=640

divide by 4

x+15=160

subtract 15

x=145

check by plugging it in

4(145+15)=640

4(160)=640

640=640

So the answer is 145 or A

2.02034 : 2.02033 = 2.020

Answers

Answer:

3

Step-by-step explanation:

Help??
5/4(-20) + 26 =

Answers

Answer:

1

Step-by-step explanation:

sorry if wrong

ask if you need work

Answer-

The answer to this problem is 1

Explanation-

5 x -20/4 + 26 =
-100 divided by 4 + 26 =
-25 + 26 =

1

Hope this helped :)

Can someone help me pleaseeee

Answers

Answer:

B

Step-by-step explanation:

What is the meaning of life in ur own words
Mine is: Ive had a rough week lots of work, tests, a break up, a fight, and those are the things that i remember from my week. the bad moments, yeah Life can suck to be honest but theres beautiful moments that u cant forget, there is the hard times that everyone hates, but there is always good times which are the ones that count :)

Answers

The meaning of life is to find the right person, smash them (if yk then yk) and marry them, then you’ll be happy from smashing them, you’ll be motivated to do things so more money for a classier lifestyle (ig from your SO encouraging you to get the $$), then you’ll get pregnant, then you’ll be happy with children (or no children that’s fine too), then you’ll grow old with your SO drinking alcoholic beverages on your porch watching your grandkids play in the yard while the sun is setting. Also doing the naughty w/ your SO throughout. You’ll see and experience the nicest things in life this way.
-my teacher from 4th grade

Answer:

Step-by-step explanation:

 

Prove that the angles in the same segment of a circle are equal.

Answers

Answer:

Given - A circle with centre at O .

To Prove - angle poq = 2 angle paq .

Proof - angle poq = angle paq -------- 1.

Similarly :

POQ =2 PBQ

From 1

2 PBQ = 2 PAQ

Angle PBQ = Angle PAQ .

HENCE PROVED...

Which one of the graphs is the graph of the following equation?
y − 2 = −2(x − 3)

Answers

Answer:

so the answer is

it's D happy to help!!

WILL MARK BRAINLIEST!!!!! PLZ HELP NEED IN 10 MINUTES!!!!
Transversal c intersects lines a and b. Prove that a||b in each case.
FILL IN THE STATEMENT REASON CHART!!! WILL ONLY ACEPPT THOSE ANSWERS!!!​

Answers

'a' is parallel to 'b' because both agree with the same - side exterior theorem

What is the same - side theorem?

It states that when two parallel lines are cut by a third intersecting line (transversal line), eight angles are formed and these angles form different relationships with each other, called same-side exterior.

Same-side tells us that exterior tells us that both angles are exterior, or outside, of the parallel lines.

In the figure, angles a, b, c, and d are exterior to the parallel lines.

We can then say that;

a is parallel to b because both agree with the same - side exterior theorem

Hence, 'a' is parallel to 'b' because both agree with the same - side exterior theorem

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Jonas is making a trail mix recipe that calls for 3 cups of nuts and 1 cup of raisins. Jonas mixes the nuts and raisins together. He will then divide the mixture into plastic bags containing ½ cup of trail mix in each bag. How many plastic bags does Jonas need?

Answers

Answer:

8

Step-by-step explanation:

Two lines intersect parallel lines m and n as shown. What is the value of x? A)24 B) 48 C)60 D) 66

Answers

Answer:

C. 60

Step-by-step explanation:

48+72=120

x=180-120

x=60

The value of x from the given diagram is 60 degrees

The sum of the interior angle of a triangle is 180 degrees. Since the two lines intersect parallel lines m and n, then;

m<3 = 48 degrees (alternate interior angle)

Taking the sum of angle in the triangle;

m<3 + x + 72 = 180

48 + x + 72 = 180

120 + x = 180

x = 180 - 120

x = 60 degrees

Hence the value of x from the given diagram is 60 degrees

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Simplify to an equivalent exponential expression. Use 2 as the base.
24.25
24 • 25 =
(Type your answer using exponential notation. Simplify your answer.)



HELP ASAP PLEASE

Answers

Answer:

The equivalent exponential expression using 2 as

a base will be:  

[tex]2^4\cdot \:\:2^5=2^9[/tex]

Step-by-step explanation:

Given the expression

[tex]2^4\cdot \:2^5[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

so the expression becomes

[tex]2^4\cdot \:2^5=2^{4+5}[/tex]

            [tex]=2^9[/tex]

Therefore, the equivalent exponential expression using 2 as

a base will be:  

[tex]2^4\cdot \:\:2^5=2^9[/tex]

Given mlln, find the value of X.

Answers

Answer:

65°

Step-by-step explanation:

180-115=65

Have a great day

Answer:

[tex]\displaystyle\Huge \bf\red{\underline{\underline{ANSWER}}}

[/tex]

Let the speed of the train be x km/hr and the speed of the bus is y km/hr.

So according to question and using

[tex] \huge \boxed{\sf{Time = \frac{Distance}{speed}}}

[/tex]

Total distance =300 km

Mansi travels 60 km by train and 300−60=240 by bus in 4 minute,

[tex] \bf\frac{60}{x} + \frac{240}{y} = \red4

[/tex]

and 100 km by train, 300−100=200 by bus, and takes 10 minutes more,

[tex] \bf {\frac{100}{x} + \frac{200}{y} = 4 + \frac{1}{6} = \frac{24 + 1 }{6} = \purple{\frac{25}{6}}}

[/tex]

Now, let

[tex]\bf\color{blue}{\frac{1}{x} = a}[/tex]

and.

[tex] \bf \color{blue}{ \frac{1}{y} = b }[/tex]

[tex]\bfthen 60a+240b=4.............(1)[/tex]

[tex]\bf100a+200b=25/6----(2)[/tex]

multiply (1) by 5 and (2) by 6 we get

[tex]\bf300a+1200b=20..........(3)[/tex]

[tex]\bf600a+1200b=25...........(4)[/tex]

Subtracting (3) and (4) we get

[tex]\bf \green{−300a=−5}[/tex]

[tex]\bf{a = \frac{1}{60}}[/tex]

Putting the value of a in (1) we get

[tex]\bf{60 \times \frac{1}{60} + 240b = 4}[/tex]

[tex]

\bf240b = 3 \\ \\ \bf b = \frac{1}{80} [/tex]

Now ,

[tex] \bf\frac{1}{x} = a \\ \\ \bf \red{a = 60 km/h \: \blue \bigstar}[/tex]

[tex] \bf\frac{1}{y} = b \\ \\ \bf \red {b = 80 km/h \: \pink \bigstar} [/tex]

Hence, the speed of the train is 60 km/hr and the speed of the bus is 80 km/hr.

Write an equation of the line in slope-intercept form.

y=

Answers

[tex]\huge\boxed{y=-\frac{4}{3}}[/tex]

To find the equation for a line in slope-intercept form, we need to find the slope and the y-intercept.

The y-intercept is easy to find. It's just the value of [tex]x[/tex] when [tex]y=0[/tex]. In this case, the y-intercept is [tex]0[/tex] since the line goes through the origin.

To find the slope, we use the slope formula, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two known points. In this case, we'll use the only two points we have: [tex](0, 0)[/tex] and [tex](-3, 4)[/tex]

[tex]\begin{aligned}m&=\frac{y_2-y_1}{x_2-x_1}\\&=\frac{4-0}{-3-0}\\&=\frac{4}{-3}\\&=-\frac{4}{3}\end{aligned}[/tex]

Finally, we put it all together in slope-intercept form, where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

[tex]y=mx+b\\y=-\dfrac{4}{3}x+0\\\boxed{y=-\frac{4}{3}}[/tex]

Please answer!! Will mark Brainliest!!

Answers

Answer:

Is it a multiple choice question

Step-by-step explanation:

Which equation shows y=3x−15 in standard form?
15x+y=-1
15x-5=1
5x-15y=1
5x-15y=-1

Answers

Answer:

the correct answer would be I think 5x-15y=1

Step-by-step explanation:

I have already learned that

Answer:

it's 5x - 15y = 1

Step-by-step explanation:

Hope this helped have a wonderful day!!! :)

2z z =-5 divided by -2

Answers

Answer:

-3x-y=5

y-2z=7

x-4y+z=-9

Step-by-step explanation:

Identify an equation that models the situation and find its solution. Kane planned to build a 53-centimeter-tall model of a building. He later decided to increase the model's height to 159 centimeters. What was the increase of the model's height in centimeters?

Answers

Answer:

The increment in the model is 106cm

Step-by-step explanation:

Given

[tex]Initial\ Height = 53cm[/tex]

[tex]Final\ Height = 159cm[/tex]

Required

Determine the increment

To do this, we simply subtract the initial height of the building from the final height

[tex]Increment = Final\ Height - Initial\ Height[/tex]

[tex]Increment = 159cm - 53cm[/tex]

[tex]Increment = 106cm[/tex]

Hence, the increment in the model is 106cm

What is the answer to 12-2u=9u+45

Answers

Answer:

u = -3

Step-by-step explanation:

12 - 2u = 9u + 45

2u - 12 = -9u - 45

2u + 9u = 12 - 45

11u = -33

u = -33/11

u = -3

can someone help me​

Answers

Answer:

67

Step-by-step explanation:

ad 71 and 42 113 then take that away from 180.

11. Dustin wants to build a storage box with the following dimensions: 12 inches by 2.25 ft by 1/3 yd.

Answers

Answer:

12 x 2.25 x 1/3 = 9

Step-by-step explanation:

L x W x H

HELP PLEASE !!! 15 POINTS

Answers

Y=1/2X+2 (the third one)

Jack bought 15 chicken wings for $5. What was the cost of the wings in dollars per
wing?

Answers

Answer:

Step-by-step explanation:

0.33$

$0.33 is the answer, u divide 5/15

Diamond used a number line to add. She started counting at 8, and then she counted until she was on -5 on the number line. If Diamond is modeling addition, what number did she add to 8 in order to get to -5

Answers

Answer:

-13

Step-by-step explanation:

If Diamond was using addition, then the only number that can be added to 8 in order to get -5 would be -13. This is because 13 is 5 more than 8. Therefore, a negative 13 (-13) added to 8 would mean that you would have to move to the left of the number line 13 places which would cause you to pass 0 by a total of 5 spaces to the left, leaving you at -5

James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the first roll, and roll a number greater than 4 the second roll?

Answers

Answer:

1/6

Step-by-step explanation:

What other angles are equal to the measurement of angle 2?

A. 1,4,7
B. 3,6,7
C. 4,5,6

Answers

Answer:

B) 3, 6, 7

Step-by-step explanation:

angle 2 is opposite to angle 3 = ∠2 = ∠3

angle 2 is the same as angle 6 = ∠2 = ∠6

angle 6 is opposite to angle 7 = ∠6 = ∠7

see image below

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