PLS HELP TT
write a paragraph proof for the following conjecture
Given m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°

PLS HELP TTwrite A Paragraph Proof For The Following Conjecture Given M1 + M2 = M4Prove: M3 + M1 + M2

Answers

Answer 1

 m∠1 + m∠2 = m ∠4 , under the exterior angle property of a triangle which says that sum of the interior opposite angles of an exterior angle will be equal to the measure of the exterior angle .

To prove that m∠3 + m ∠1 +  m∠2 = 180° , let us use the angle sum property .

= Angle sum property = Sum of the three interior angles in a triangle will be equal to 180° .

= Since  ∠1 ,  ∠2 and  ∠3 are the interior angles of this triangle , their sum will be equal to 180° .

Hence proved that m∠1 +  m∠2 + m∠3 = 180°

∴ m∠1 +  m∠2 + m∠3 = 180° under the angle sum property of a triangle .


Related Questions

Simplify each expression using the distributive property and combining like terms
7(1 - 4x) + 4x =

6(v - 5) +1 =

- 7(8 + 8x) - 6x =

- 3(6x +9) + 1 =

- 2(-6+ 5k) - 1 =

Answers

Answer:

7- 32x

6v - 31

-56 - 62x

-18x - 26

11 - 10k

Am I right?

A store has all board games on sale for 25% off the
regular price. A checker set has a sale price of $12. It is then moved to a clearance table where every item is discounted 40% off its regular price. What is the
clearance price of the checker set?

Answers

Answer:

$7.20

Step-by-step explanation:

We'll need to find out 40% of 12 then subtract that amount because we're still paying 60% of the original price.

Change the percent to a decimal: 0.4

Multiply the sale price and the decimal

12 · 0.4 = 4.8

Subtract 40% of the price from 12

12 - 4.8 = 7.2

The clearance price of the checker set is $7.20

Answer:

If both the board games discount and the clearance discount affect the item, this means it is 65% off. 65% of 12 is 7.8, therefore we subtract that amount from 12 and get 4.2, or $4.20.

Can someone help me ASAP please 15 and 16

Answers

I don’t know number 15 but number 16 is $1.50
Explanation:
$6.50(2)=$ 13.00
$20.00(2)=$40.00
+$ 53.00
$53.00- $10.00 =$ 43.00
$44.50-$43.00= $1.50

I have three squares and I want to divide them by 3/4 How many pieces would I have

Answers

Cant help I’m sorry

Please help me it would mean a lot.

Answers

Answer:

measure of angle ROQ is 41.5º

Step-by-step explanation:

That little curved line inside the angle POR and angle ROQ means they are congruent, or have congruent angles. So, we have two of the same angles, which we can represent with the same variable: x.

114-31= 83

83=2x

83/2 = 41.5

x=41.5

OK i dont know what time it is for you so its 5:40 am but here another question.
I have $40.50
If i went to a store and got 3 boxes of popcorn ( $15.99)and 3 milk jugs ($12.99).Then get a pack of gum ( $1.99).Plus tax ( $4.99) add to everything.Hint plus all money then add $4.99 three times.

Answers

Answer:

Question wasn't specific enough but I believe the cost=$93.92

Step-by-step explanation:

15.99*3=47.97

12.99*3=38.97

plus 1.99 and 4.99, add them all together

47.97+38.97+1.99+4.99=93.92

jjsndbddjijfnfbfbdhjdidoxo29294847

Answers

ahahahabahaiwkwowowowkwnwnwbqhidkiwoqywegbrndjchaia

May I get some help on this please?

Answers

Answer:

2

Step-by-step explanation:

The answer is the second explanation I think

Answer:

it's the 2nd answer

Step-by-step explanation:

basically I just found the range and it kinda gave me the answer (range is the difference between the highest and lowest number, so 24-9=15)

y= -2x +9 what does x equal ?

Answers

Answe        Step-by-step explanation:

46579765+4879+889 78+6565

The formula for the remaining volume of fuel in a cars tank is I - E • D, where I is the initial volume of fuel, E if the fuel efficiency, and D is the distance traveled. Carson drove a distance of 120 kilometres. He initially had 30 litres of fuel, and his car's fuel efficiency is 100 cubic centimetres per kilometer. What calculation will give us the estimated volume of fuel left in Carson's tank by the end of the drive, in litres? a)30-100/1000 • 120 b)30•1000-100•20 c)30/1000 -100•120 d)30-100•1000•120

Answers

Answer:

a)30-100/1000 • 120

Step-by-step explanation:

Given:

Remaining volume of fuel in a cars tank = I - E • D

where,

I = initial volume of fuel

E = fuel efficiency

D = distance traveled.

Carson

I = 30

E = 100

D = 120

Estimated volume of fuel in Carson's tank = I - E • D

= 30 - 100/1000 * 120

a)30-100/1000 • 120

Answer:

A (30-(100/1000)x120)

Step-by-step explanation:

I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.

So ExD gives us volume quantity.

Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.

Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.

You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers

In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:

30-100/1000x120.

Hope this helps!

Please help!!!! I need to pass this class!!

Answers

Answer:

x is approximately 69.39 degrees.

Step-by-step explanation:

To find x in this triangle, we can use the sin rule:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex]

The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.

So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.

This would give us the following equation:

[tex]\frac{3.5}{sin(55)} =\frac{4}{sin(x)} \\[/tex]

Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.

[tex]\frac{sin(55)}{3.5} =\frac{sin(x)}{4} \\[/tex]

From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:

[tex]\frac{4 sin(55)}{3.5} =sin(x)\\\frac{3.2766}{3.5} =sin(x)\\0.936=sin(x)[/tex]

Now the final step is to use inverse sin to cancel the sin so we just have x:

[tex]sin^{-1} 0.936=x\\x=69.39[/tex]

x is approximately 69.39 degrees.

Hope this helped!

twelve is no more than the sum of -1.5 times a number w and 4

Answers

Answer:

w < -5.33333

Step-by-step explanation:

Step 1: Write inequality

12 < -1.5w + 4

Step 2: Solve for w

Subtract 4 on both sides: 8 < -1.5wDivide both sides by -1.5: -5.3333 > wRewrite: w < -5.33333

Here we see that any value smaller than -5.3333 will work.

What is greater -5.65 or -5.6
I know its easy but i have to finish this buy 10:50am so could anyone help me????

Answers

Answer:

I believe the answer should be -5.6.

If f(x) = -x^2 +5z and g (x) = 2x-4 find

Answers

Answer:

1) x=√−y+5z or x=−√−y+5z

2) g=2x-4/x

Step-by-step explanation:

explanation for first problem:

Let's solve for x.

y=−x^2+5z

Step 1: Flip the equation.

−x^2+5z=y

Step 2: Add -5z to both sides.

−x^2+5z+−5z=y+−5z

−x^2=y−5z

Step 3: Divide both sides by -1.

−x^2

−1

=

y−5z

−1

x2=−y+5z

Step 4: Take square root.

x=√−y+5z or x=−√−y+5z

explanation for problem 2:

Let's solve for g.

gx=2x−4

Step 1: Divide both sides by x.

gx/x = 2x-4/x

g=2x-4/x

10. Translate the triangle 4 units right
and 3 units down. What are the
coordinates of the image?

Answers

Answer:

J(4,0)

K(4,-2)

L(0,-2)

Step-by-step explanation:

4 units right means x+4. now find the coordinates and add 4 to each coordinate's x.

3 units down means y-3. now find the coordinates and take 3 from each coordinate's y.

if it is unclear or you need more explanation, ask freely.

37+32 divided by 2 X 7

Answers

37 + 32 = 69 , 2 x 7 = 14 , then take the two answers and divided them 69 ÷ 14 = 4.928571428571429 , the answers really long btw but uh hope that helps

Find measure angle 3

Answers

Answer:

∠ 3 = 50°

Step-by-step explanation:

∠ 3 and 50° are corresponding angles and congruent, thus

∠ 3 = 50°

Answer:

90

Step-by-step explanation:

you add 40+ 50 and it out to 90

22/30 to its lowest term​

Answers

Answer:

What is 22/30 Simplified? - 11/15 is the simplified fraction for 22/30

Elizabeth won a $300 gift certificate at silver gym. A membership costs $15 a month and has a one- time fee of $50. Complete the equation that models the number of months,x, her gift certificate is will pay for a Silver gym.

Answers

The correct answer is 15 x + 50 = 300

Explanation:

In an equation, the different values show a specific mathematical relationship, and the equality represented by the symbol (=) is used to find an unknown value. In the case presented, the unknown value is the number of months Elizabeth can pay using her $300 gift certificate. This means the letter x in the equation represents the number of months.

Moreover, this x should be multiplied by the month membership or $15 considering Elizabeth will need to pay this fee each month and this should be added to the one-time fee of $50. This implies the first part of the equation is 15x + 50. Finally, this value should be equal to the total money in the certificate or 300. According to this, the equation is 15x + 50 = 300.

Tell whether the statement is always, sometimes, or never true.
The LCM of two different prime numbers is their product.
The statement is
true.

Answers

yes, the statement is true since they are both prime :)

Calculator
31°
What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
22 ft
ft
B
х

Answers

Answer:

x=90=9.49

Step-by-step explanation:

compare with yours

Answer:

It's actually 13.2

Step-by-step explanation:

I just took the 7.01 Unit CheckPoint on K12

T^12 x T^10= T to the power of what

Answers

Answer:

t²²

Step-by-step explanation:

Hi there !

t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²

Good luck !

Frank is a professional golfer, so he goes to the golf course to practice every 2 days. Jack just
started playing golf, so he goes to the golf course every 6 days. Ethan just plays for fun and
goes to the golf course every 9 days. If Frank, Jack and Ethan all played together today, how
many days later will they all go to the golf course together again?

Answers

Answer:

in 18 days

Step-by-step explanation:

that's she shortest they can do,

2*9

6*3

9*2

During their last workout, Michelle did 81 crunches in 3 minutes and her friend Zack did 104 crunches in 4 minutes. Each person thought they did more crunches per minute. Based on this workout, which person is correct?

A) Both are correct.
B) Zack is correct.
C) Neither are correct.
D) Michelle is correct.

Answers

Answer:

D) Michelle is correct.

D) Michelle is correct

81/3=27 104/4=26

Michelle did 27 per min and Zack did 26 per min.

The perimeter of a triangle is 42 meters. Side (a) is two less than side (b) and side (c) is triple side (b). What are the lengths of the three sides?

Answers

i think i got it side A is 6.8 side B is 8.8 then side C is 26.4 hope this is right

The length of three sides of triangle is,

               [tex]a=6.8m\\\\b=8.8m\\\\c=26.4m[/tex]

Perimeter of triangle :

Perimeter is the sum of all three sides of triangle.

Let us consider that side b of triangle is x.

Given that, Side (a) is two less than side (b) and side (c) is triple side (b).

So that, sides of triangle are,

                    [tex]a=x-2\\\\b=x\\\\c=3x[/tex]

Perimeter of triangle are,

              [tex]x-2+x+3x=42\\\\5x=44\\\\x=44/5=8.8[/tex]

Side [tex]a=8.8-2=6.8m,b=x=8.8m,c=3x=3*8.8=26.4m[/tex]    

Learn more about the perimeter here:

https://brainly.com/question/19819849

someone pls answer this I'll give whoever answers brainlist!


Leandros resting heart rate is 14 beats in 15 seconds.

A) heart rate is often expressed in beats per minute (bpm).
write Leandros heart rate in nom

b) how many minutes does it take for Leandros heart to beat 1512 times?​

Answers

60/15=4, 14*4= 56 BPM. 1512/56= 27 min

Slope of (-15,-10) (9,8)

Answers

Hey Ted hb rvghhfnkmm

What is the constant proportionality?

Answers

Answer:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. ... The constant of proportionality does is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Constant of proportionality means slope which can be represented as y=mx+b, y=kx and a ton of other stuff I don't know.

But lets take it as y=kx because it's easier. Constant of proportionality/slope is k so its C, 5.5.

Find the value of x. Then find the angle measures of the polygon. ​

Please help me as soon as possible, it would be great if you gave me an explanation!

Answers

For number 20:

Because a triangle is 180 degrees, we will equal all the angles we know to that. So, this is how we will write our equation:

Solve for x:

60 + x + 20 + 3x = 180

4x = 100

x = 20

Using 75, you can find the angle measure by plugging 75 where x is present in the angle measures. For example:

x = 20,

20 + 20 = 40

3(20) = 60

-

For number 21:

The shape shown is basically two triangles, so 180 x 2 is 360. Again, same procedure. Add all known angle measures and make an equation where they all equal 360.

Solve for x:

x-5+x+35+1.4x+x=360

x = 75

By isolating x, you should get an answer of 75. Now, plug that into each of the equations:

x = 75

75 + 35 = 110

75 - 5 = 70

1.4(75) = 105

What is N + (n+2) when N = 62 and n = 64

Answers

62+66= 128, plugin the values; 62+(64+2)=128
Other Questions
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My warriors fell around me; it began to look dismal. I saw my evil day at hand. The sun rose dim on us in the morning, and at night it sunk in a dark cloud, and looked like a ball of fire. That was the last sun that shone on Black Hawk. His heart is dead, and no longer beats quick in his bosom. He is now a prisoner to the white men; they will do with him as they wish. But he can stand torture, and is not afraid of death. He is no coward. Black Hawk is an Indian.He has done nothing for which an Indian ought to be ashamed. He has fought for his countrymen, the squaws and papooses, against white men, who came, year after year, to cheat them and take away their lands. You know the cause of our making war. It is known to all white men. They ought to be ashamed of it. The white men despise the Indians, and drive them from their homes. But the Indians are not deceitful. The white men speak bad of the Indian, and look at him spitefully. 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