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.

Learn more about linear pair on:

https://brainly.com/question/13218054


Related Questions

could you help me with this? its an ss here:

Answers

-8-5=2 i think this is right i could b wrong
2-(-8)=10

When subtracting a negative number, you will actually add. You can double check this by counting on the number line. Make sure you count by 2.

Ima just say the question to: "The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Write and equation that could be used to find the value of x. Solve for x and then find the length of all three sides." 100 points!!!!

Answers

Answer:

x = 5

Congruent sides = 13 cm each

3rd side = 2(5) = 10 cm

Step-by-step explanation:

2(2x+3)+2x = 36

4x+6+2x = 36

6x = 36-6

x = 30/6

x = 5

Congruent sides = 2(5)+3 = 13

Find X. Enter a number for your answer. Do not type the symbol for degree or the
word "degrees"

Answers

Use angle sum property (the 3 angles in a triangle sum up to 180°).

2x + x + 54 = 180

3x + 54 = 180

3x = 180 - 54

3x = 126

x = 126/3

x = 42

_____

Hope it helps ⚜

Answer:-

x = 42

Explanation:-

We know that,

Angles of a triangle adds to 180°

So,

=> 2x + x + 54 = 180

=> 3x = 180 – 54

=> 3x = 126

=> x = 126/3

=> x = 42

(x = 42° ; 2x = 84°)

Find the value of the variable.

Answers

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

Put these fractions in order from least to greatest:

Answers

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.

Answer:

The answer is the 3rd option. (1/4, 3/8, 2/3)

Step-by-step explanation:

All u have to do is find a common denominator for all 3 fractions.

The common denominator in this problem would be 24

So lets convert all the fractions with a denominator of 24.

1/4 = 6/24

3/8 = 9/24

2/3 = 16/24

Since we now converted the fractions with a common denominator, we can deduce the order from least to greatest.

6/24, 9/24, then 16/24

In other words, the answer is the 3rd option. (1/4, 2/8, and 2/4)

Hope this helps! :0

૮ ・ﻌ・ა

If y’all show y’all work and do all the questions I add extra extra points

Answers

Answer:

For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.

Step-by-step explanation:

5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)

6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.

7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.

8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.

9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6

Not sure if these are all correct, but I hope this helps :)!

What would be the total cost of
Software M over time?
Satisfaction 55%. $0
$[?]
Not Satisfied
$6,000
Software X
45% - $18,000
Software M.
$12,000
95% - $0
Satisfaction
Not Satisfied
5% • $2,000
Entor

Answers

1. The total cost of Software M over time is $10,000.

2. The total cost of Software X over time is $4,000.

Data and Calculations:

Cost of Software M = $12,000

Satisfaction rate with Software M = 95%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $2,000

Percentage of not satisfied = 5%

The total cost of Software M over time is $10,000 {($12,000 x 95% - $0) + ($12,000 x 5% - $2,000)}.

Cost of Software X = $6,000

Satisfaction rate with Software X = 55%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $18,000

Percentage of not satisfied = 45%

The total cost of Software M over time is $4,000 {($6,000 x 55% - $0) + ($6,000 x 45% - $2,000)}.

Learn more about total cost based on satisfaction ratio here: https://brainly.com/question/25940131

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality

Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?

Answers

Answer:

3 liters

Step-by-step explanation:

The national debt of a county is the total amount of money the government of that country owes. Imagine everyone in the United States was asked to help pay off the national debt. How much would each person have to pay?

(*Hint: Use the numbers below in your calculations.*)

According to npr.org, as of Feb. 2019, the US national debt was $22 trillion.
According to the United States Census Bureau, as of 2018, the US population was 327.2 million people.


PLEASE ANSWER

Answers

Answer:

Each person have to pay $67,237

Step-by-step explanation:

Amount each person would pay = Total amount of debt/ Size of Population

= 22000000000000/327200000

= 67237. 164

Approximately $67,237

Answer: 46572

Step-by-step explanation:

It is how you do the math  look over your answers you got this

Find the volume
of the rectangular prism.
3 m
7 m
4 m

Answers

Answer:

The volume is 63m³

Step-by-step explanation:

Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.

l•w•h= 4•7•3 = 84. good luck

what is the value of x?

Answers

Answer:

132

Step-by-step explanation:

corresponding angles are the same

Components inside a computer such as CPU and motherboard are all examples of _____. software hardware

Answers

Answer:

it's hardware.

.

hope I helped!


At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320

Answers

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

Pls help!! What is the equation for the line in slope-intercept form​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

Apply distributive 15+22

Answers

Answer:37

Step-by-step explanation:

No links help
Rectangle X is 5 cm long and 3 cm wide. Rectangle Y is similar to Rectangle X. What could be the dimensions of
Rectangle Y?
A)10 cm long and 8 cm wide
B)15 cm long and 9 cm wide
C) 15 cm long and 13 cm wide
D)10 cm long and 3 cm wide

Answers

B) 15cm long and 9cm wide


Please help!!!!
check for understanding:

Answers

Answer:i thinks is 115.9 maybe im not sure because its in my HW

Step-by-step explanation:

Answer:

x=7.245

Step-by-step explanation:

pythagoras theorem says:

c=√a^2+b^2

so:

c=a2+b2=3.22+6.52≈7.245

Please solve i need help :,) tyy

Answers

Answer:

6. 47

7. 25

8. 15

9. 33

10. 9

Step-by-step explanation:

Substitute.

6. x=-7

y = -8x - 9

= -8(-7)-9

= 56-9

y=47

7. x=2

y= -8x-9

= -8(2)-9

= -16-9

y= -25

8. x=-3

y= -8x-9

= -8(-3)-9

=24-9

y= 15

9. x=3

y= -8x-9

= -8(3)-9

= -24-9

y= -33

10. x=0

y= -8x-9

= -8(0)-9

= 0-9

y= -9

Work out the area of the shaded shape. Need answer ASAP

Answers

Answer:

Step-by-step explanation:

A = 3(6) + 2(5 + 3 + 2) = 38 m²

Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

PLS HELPPPPP (It should be easy points for u) 50 POINTS

Answers

Answer:

7

6

3

1

1

because first they go down by three then one

Answer:

7

6

3

1

1

Step-by-step explanation:

Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.

Answers

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales tax

Ohio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales tax

Rhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in https://brainly.com/question/25866144

which expression is equal to 4-6

Answers

-1-1 or 2-4 or 3-5 or 6-8 or 7-9 or 8-10

Find the measure of the angle marked and indicated in bold.

Answers

Answer:

105° your answer

Step-by-step explanation:

parrallel line = gongruent angles

16x - 7 = 15x

16x - 15x = 7

x = 7

------------------------

7 * 15 = 105° your answer

--------------------------------

16 * 7 - 7 = 15 * 7

105 = 105

the answer is good

20 kilograms increased by 25%

Answers

Answer:

25 kilograms

Step-by-step explanation:

|-4+5x|=16
Pls help
Pls

Answers

Answer: i believe x = 4

Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4

Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.

Answers

Jamir baked 32 peanut butter cookies

12
The solution to the system of equations below
is (x,y).
3x+y=13
2x - 4y = 18
What is the value of x?

Answers

Answer:

The value of x is 5

What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1?

Answers

Answer:

3rd degree

Step-by-step explanation:

factors are

a(x + 3)(x + 3)(x - 4)

polynomial is

a(x² + 6x + 9)(x - 4)

a(x³ + 2x² - 15x - 36)

where (a) could be any real number

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