Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<2+m<3

Angles 1,2,3 And 4 Are Formed By Two Intersecting Lines. State The Single Angle Fact Necessary To Prove

Answers

Answer 1

The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

Linear Pair/Angles on a Straight LineTwo angles on a straight line can be referred to as a linear pair.The sum of the angles of a linear pair equals 180 degrees (supplementary angles)

Thus,

∠1 and ∠2 are on a straight line, therefore,

m∠1 + m∠2 = 180°

∠2 and ∠3 are on a straight line, therefore,

m∠2 + m∠3 = 180°

Thus:

m∠1 + m∠2 = m∠2 + m∠3

Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

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Related Questions

$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?

Answers

Answer:

$1,538.00

Step-by-step explanation:

A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

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Answer:

12

Step-by-step explanation:

It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?

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Answer: Check explanation.

Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!

what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining

Answers

Answer:

24.010

Step-by-step explanation:

hope it helps

Three times the sum of a number and 7 is equivalent to 57.

Answers

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is [tex]3(x + 7) = 57[/tex] and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

[tex]3(x + 7) = 57[/tex]

Divide both sides of the equation by 57

[tex]x + 7 = 19[/tex]

Subtract 7 from both sides of the equation

[tex]x + 7 - 7 = 19 - 7[/tex]

[tex]x = 12[/tex]

Hence, the number is 12

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Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0

Answers

An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex]

[tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex]

[tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]  

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PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!

Answers

Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120

Pls Find the value of x

Answers

[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]

[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]

[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]

[tex]\sf\longmapsto x = 132[/tex]

hello comment anything

Answers

I like anime and sleeping✌

Answer:

i like food, money, and games

Step-by-step explanation:

E

Help help help help help help pelsss

Answers

Answer:

angle 4 is also 75 degrees

Step-by-step explanation:

Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3

Answers

Answer:

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]

HELPPPP I WILL GIVE POINTS AND BRAINLIEST

Answers

Answer:

11 mm, 21 mm, and 16 mm.

Step-by-step explanation:

since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16

What’s is log17 divided by 4

Answers

Answer:

log(17 1/4)

Step-by-step explanation:

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m​

Answers

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

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What is the slope of the line?

Answers

Answer:

-1/2

Step-by-step explanation:

Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)

Calculate the slope using rise over run. -4-(-3)=-1

                                                                  -3-(-1)=2

Or, after choosing the dots, you can make a triangle

Does anyone know how to do this?

Answers

Answer:

∠ GFC = 67°

Step-by-step explanation:

The sum of the 3 angles in Δ BCF = 180° , then

∠ FCB + 73° + 40° = 180°

∠ FCB + 113° = 180° ( subtract 113° from both sides )

∠ FCB = 67°

∠ GFC and ∠ FCB are alternate angles and are congruent , so

∠ GFC = 67°

Ok done. Thank to me :>

In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.

Answers

i don’t believe you attached any pictures to this question so i don’t know exactly what kinds of different servings you want, however some examples would be

water:fruit
3:4
6:8
9:12

and such other multiples

The ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

What is a ratio?

A ratio is an ordered pair of numbers a and b.

It is written as:

a / b

where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

We have,

In one serving:

= 3/4

The ratio of ounces of water to the ounces of fruit is 3/4.

In every number of servings, the ratios must be in proportion so,

We have the following cases:

2 servings:

= 3x2 / 4x2

= 6/8

3 servings:

= 3x3 / 4x3

= 9/12

4 servings:

= 3x4 / 4x4

= 12/16

5 servings:

= 3x5 / 4x5

= 15 / 20

Thus the ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

Learn more about ratios and proportions here:

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#SPJ5

The speed of a train is 90 km per hour so how much will it be in m /s .​

Answers

Answer:

90km/h in m/s will be

90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )

=> 25m/s

we have: 90 km/h =  90 ÷ 3,6 = 25 m/s

Ok done. Thank to me :>

I need Someone to help me with this problems equation and answer must be correct (100 Points)

Answers

Answer:

1) 3x+18=45       x=9

2)8-5x=-7          x=3

3)3+2x=15         x=6

4) 12million - 2 million  = 10 million

Step-by-step explanation:

what is the value of x in x(a+b)=b(c-x)​

Answers

Answer:

x = [tex]\frac{bc}{a+2b}[/tex]

Step-by-step explanation:

x(a + b) = b(c - x) ← distribute parenthesis on both sides

ax + bx = bc - bx ( add bx to both sides )

ax + 2bx = bc ← factor out x from each term on the left side

x(a + 2b) = bc ← divide both sides by (a + 2b)

x = [tex]\frac{bc}{a+2b}[/tex]

Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write an
equation that can be used to find the number of hours, h, Kim spent reading her book.

Answers

Answer:

8x2=h

Step-by-step explanation:

Answer:

8 ÷ 2 = h

Step-by-step explanation:

Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.

have a good day/night

What is the vertex of f(x) = 3Ix-2I +4?

Answers

Answer: (2,4)

Step-by-step explanation:

Vertex

|0-2| = 0

|-2| = 0

The graph is shifted 4 units up so therefore (2,4) is the vertex

What is 29−−√?

What 2 numbers does it fall between when placed on a number line?

Question 5 options:

Between 5 - 5.5


Between 4 - 4.5


Between 4.5 - 5


Between 5.5 - 6

Answers

Between 5 - 5.5
Hope this helps.

Which of the following function pairs are inverses? ​

Answers

it’s B: f(x) = 5x +3 and g(x) = (x+3)/5

If a function is restricted, is there no end behavior?

Answers

Answer:

If a function is restricted, it still has an end behavior!!!

Step-by-step explanation:

Let's say we have f(x)=(x-4)^2, x≥4.

If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.

This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.

However, just because this function is restricted doesn't mean it doesn't have an end behavior!

As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:

x --> ∞, f(x) --> ∞

There is no end behavior for the left side because that's where the graph is restricted.

Hope this helps!



(2x + 3y)^2– (2x – 3y)^2

Answers

Hi,

(2x + 3y)² - (2x - 3y)²

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²

= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

= 12xy

I hope it helped ✅(◠‿◕)

What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.

Answers

Answer:

1/30

Step-by-step explanation:

Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?

Answers

48(miles/hour)*(1 mi/5280 ft)(1 hour/60 min)
-----
= (48*1*1)/(1*5280*60)(ft/min)

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)
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