Is each statement true or false?
Explain your answers
A.
[tex]m \: = x[/tex]
B.
[tex]z \: = x + y[/tex]
C.
[tex]m \: = y + z[/tex]
D.
[tex]m = 180 - x[/tex]
E.
[tex]x = 180 - (y + z)[/tex]

(the triangle is on the image)




Is Each Statement True Or False?Explain Your AnswersA. [tex]m \: = X[/tex]B.[tex]z \: = X + Y[/tex]C.[tex]m

Answers

Answer 1

Answer:

  A, B: False

  C, D, E: True

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.

A.

  m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.

__

B.

  z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.

__

C.

  m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."

__

D.

  m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.

__

E.

x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.

Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...

  m = 180° -x

  180° -x = y +z . . . . . rearrange equation E

  m = y +z


Related Questions

2 times some number plus 5 equals 9

Answers

Answer:

x=2

Step-by-step explanation:

2(x)+5 =9
2(2)+5=9

Answer: The number is 2

Creating an Equation:

     The underlined portion of the sentence becomes a part of our mathematical equation in the next line.

           2 times some number plus 5 equals 9

           2 times n plus 5 equals 9

           2n plus 5 equals 9

           2n + 5 equals 9

           2n + 5 = 9

Solving our Equation:

     I will take the equation we created, and isolate variable n to solve.

           2n + 5 = 9

           2n + 5 - 5 = 9 - 5

           2n = 4

           (2n ) / 2 = (4) / 2

           n = 2

What is the answer for this question?

Answers

Answer:

64 cm³

Step-by-step explanation:

The volume of a cube is an edge cubed. Since all the sides/edges are the side, you do 4 * 4 * 4 which gets 64

Hi can I help me, I’ll reward Branliest!!! :)))

Answers

Answer: Below

Step-by-step explanation:

We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:

3 * 2 = 6

Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.

Sqrt(3.4^2 - 1^2) = 3.3

The equation for volume in a pyramid is (base*height)/3.

(3.3 * 6)/3 = 6.6

Our answers are:

1) 6

2) 3.3

3) 6.6

Hest answer = Brainilest
Archie is playing hide-and-seek with Valerie and Anya. Valerie is hiding 60 feet south of Archie and Anya is hiding due west of Valerie. If Archie is 100 feet from Anya, how far apart are Valerie and Anya?

Answers

Answer 116•6 feet

Hope it is helpful

Select Statistical or Not Statistical to classify each question.
Statistical Not Statistical
How many cups are in 3 gallons?
Statistical – How many cups are in 3 gallons?
Not Statistical – How many cups are in 3 gallons?
How many months are in a year?
Statistical – How many months are in a year?
Not Statistical – How many months are in a year?
How many brothers do you have?

Answers

Answer:

Statistical

Statistical

Not Statistical

Step-by-step explanation:

Not Statistical – How many cups are in 3 gallons?Not Statistical – How many months are in a year?Not Statistical - How many brothers do you have?What is a Statistical question?

These are answered by data collection and has some form of variability while non-statistical question has no variability.

The questions asked above won't have any form of variability and requires no data collection thereby making all of them not statistical.

Read more about Statistical question here https://brainly.com/question/12150562

Can someone please help me out with this question? ​

Answers

Answer:

Step-by-step explanation:

Both data sets have a median of 3 and gave similar means, 3.19 and 2.57, so the answer should be B.

A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:

Answers

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

heheheheheheehehehehehehhee

Answers

Answer:

4 blocks

Step-by-step explanation:

Find the area of the trapezoid.
95 cm
133 cm

Answers

Answer: A=a+b

 2h=95  

2·13.5=675

Step-by-step explanation:

Answer:

D 57.5

Step-by-step explanation:

9.5 + 13.5 = 23

23 x 5 = 115

115 divided by 2 is 57.5

graph "-3n+4<25" on a line plot

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

I DONT KNOW WHAT IS 89090x908

Answers

Answer:

80 893 720

Step-by-step explanation:

hope dis helps!!!!

Pls help dont need an explanation just an answer

Answers

At y-intercept x=0.
Y-intercept = 1

(0,1). & (-1 ,-4)

Slope =y2-y1/(x2-c1)
=(-4-1)/(-1-0)
=-5/-1
Slope =5
= (

Answer:

[tex]\boxed{\text{Slope = 5}}[/tex]

[tex]\boxed{\text{y-intercept = 1}}[/tex]

Step-by-step explanation:

To find the slope of the line, we must pick any two points on the line. Using those two points, we will calculate the Rise and the Run. Then, we will use the slope formula (Rise/Run) to find the slope. The y-intercept is the intersection of the point on the y-axis.

[tex]\text{My chosen points: (0,1) and (1,6)}[/tex]

[tex]\text{Rise = 5; Run = 1}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\text{Slope}= \dfrac{\text{Rise}}{\text{Run}}[/tex]

➡ [tex]\bold{Slope = \frac{5}{1} = \underline{5}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Rise = 5; Run = 1}][/tex]

[tex]\underline{........................................................................................................................}[/tex]

[tex]\text{Intersection on y-axis:} \ (0,1)[/tex]

➡ [tex]\text{y-intercept} \rightarrow (0,\bold{ 1}) \rightarrow \bold{\underline{{1}}}}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 39 gallons of water and Hank's aquarium hold 51 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?

Answers

Answer: Fish A: 9 inches ; Fish B: 6 inches

Step-by-step explanation:

This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:

3x + 2y = 39 → -3x - 2y = -39

3x + 4y = 51 → 3x +4y = 51

Combine: 0 + 2y = 12 → y = 6 inches.

Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.

Factor: 35b + 15c -10

Answers

Answer:

5(7b+3c-2)

Step-by-step explanation:

Common factor of 5

35b/5= 7b
15c/5= 3c
-10/5= -2

Take the common factor and multiply it by the quotients
5(7b+3c-2)

Savage growth of human hair is 0.5 in per month find how long it takes a human to grow 3 inches of hair for a human

Answers

It will take 2 months to grow an inch of hair. 0.5 times 2 equals 1 inch. 2 months times 3 in. Is equal to 6. Therefore it takes 6 months to grow 3 inches of hair

Nine wolves, eight female and one male, are to be released into the wild three at a time. if the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways

Answers

The number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the considered case, we have:

There are 3 wolves to be included in first group.There are 8 female wolves, and 1 male wolf.1 male wolf is sure to be in the first group.

So 2 spaces are remaining and are to be filled by 2 of 8 wolves.

Assuming that all 8 of them are distinguishable, choosing 2 of them is done in [tex]^8C_2 = 28[/tex] ways.

The first process of choosing male wolf for first place is done in 1 way only.

And the second process of choosing 2 female wolves can be done in 28 ways(ordering doesn't matter),

and since first and second process have no necessary order, using product rule, we get;

Number of ways of forming first group of wolves = [tex]1 \times 28 = 28[/tex] ways.

Thus, the number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

Learn more about product rule here:

https://brainly.com/question/2763785

Answer:

The above answer is correct! The right answer is option A. 28 :)

Hope this helped! Brainliest would be greatly appreciated :D

Step-by-step explanation:


A bag of candy contains 300 pieces of which 28% are red. How many pieces are not red? *​

Answers

Answer:

The answer is: 84

Step-by-step explanation:

Trust me

good luck

Jill bought 3 pints of blueberries for $3.02 each. What is the best estimate of how much Jill spent

Answers

Answer: 9.06

Step-by-step explanation:

Do; 3.02+3.02+3.02

This adds up to 9.06

Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she expects it will cost her (between transportation, admission, souvenirs, and so on) to see each one. The prices are listed in either US dollars ($) or euros (€). Kari has a budget of $585 set aside for sightseeing. Item Cost Currency Tour of the Vatican 68. 77 € Tour of Rome 95. 41 € Tour of Naples 71. 06 $ Tour of Venice 113. 38 $ Tour of Milan 49. 69 € She would also like to tour Genoa as well, which would cost her €60. 85. If the conversion rate of US dollars to euros at the time of Kari’s visit is 1:0. 6859, how will this affect her budget? Round all dollar values to the nearest cent. A. Kari can see Genoa and have $60. 33 left in her budget. B. Kari can see Genoa and have $41. 38 left in her budget. C. Kari has almost exactly enough left in her budget to see Genoa. D. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Answers

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

What are Units conversions?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

                  = €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

[tex]\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72[/tex]

The amount that is left with Kari,

[tex]\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)[/tex]

                                    [tex]= \$585-\$580.72\\\\=\$4.28[/tex]

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

[tex]\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72[/tex]

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

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what energy changes or causes

Answers

Answer: Nearly all thermal energy on Earth originates from the sun and radiates to the surface of our planet, traveling in the form of electromagnetic waves, such as visible light. Materials on Earth then absorb these waves to be used for energy or reflect them back into space. In an energy transformation, energy changes form.

Step-by-step explanation:

The height of the prism is the Blank between the bases.

Answers

Answer:

so how do i find the earea

Step-by-step explanation:

Two rectangles share a common side as shown.
Determine whether each expression can be used to determine the
total area, in square feet, of the two combined rectangles.
ft
Select Yes or No for each expression.
7.52 + 20
o Yes
Ο Νο
*
7.5 ft
x ft
27.5 + 2
Yes
Ο Νο
20 (7.5 + x)
o Yes
Ο Νο
150 + 3
Yes
Ο Νο
202 + 150
O Yes
No

Answers

Answer:

yes they are

Step-by-step explanation:

What is the measure of each angle of a regular 19-gon? If necessary, round to the
nearest tenth.

Answers

[tex]\begin{array}{llll} \textit{sum of all interior}\\ \textit{angles in a regular polygon} \end{array}\\\\ n\theta = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=19 \end{cases}\implies 19\theta =180(19-2) \\\\\\ 19\theta =180(17)\implies 19\theta =3060\implies \theta =\cfrac{3060}{19}\implies \theta \approx 161.1^o[/tex]

The value of each angle for the given regular polygon is 161.05°.

What is a regular polygon?

A regular polygon can be defined as a polygon having all of its sides and angles equal to one another. The expression for each angle of a regular polygon is 180(n - 2)/n.

Suppose each angle of the regular polygon be x.

Since the sum of all the interior angles of a regular polygon with n sides is given as 180(n - 2).

As per the given problem the number of sides n = 19.

Then, the following equation can be written as follows,

19x = 180(19 - 2)

=> 19x = 180 × 17

=> x = (180 × 17)/19

       = 161.05

Hence, each angle of the given regular polygon with 19 sides is 161.05°.

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Question 1-5
Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.
Select an equation and phrases to complete the statement.
Part A:
Add 3x4 + 6x - 7 to
Equation A 2x - (2x)2 + 4x-1
Equation B (2x)2 + 4.4x - 9
Equation C (-8x)-2 - (3x)3 +7
Part B:
This is closed because
of the sum are
and the sum is a polynomial.

Answers

This is closed under addition because the sum of the polynomial produces another polynomial.

What is a polynomial?

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

Polynomials will be closed under an operation if the operation produces another polynomial.

(3x⁴ + 5x - 7) + (2x - (2x)² + 4x - 1) + [(-8x)⁻² - (3x)³ + 7]

= 3x⁴ - 27x³ - 4x² + 9x - 1 + (-8x)⁻²

This is closed under addition because the sum of the polynomial produces another polynomial.

Find out more on polynomial at: https://brainly.com/question/2833285

If 75% of a number is 15, find 15% of that number.

Answers

[tex]0.75x = 15[/tex]

[tex]x = \frac{15}{0.75} = 20[/tex]

[tex]0.15(20) = 3[/tex]

Answer: You can use the definition of percentage and the proportions to solve this question. 75% means 75/100, the you want to know which fraction of 15 equals 75/100, which is to solve this proportion: 75/100 = 15/x. Solving for x, x = 15 * 100 / 75 = 20. You can check that the 75% of 20 is equal to 15: 20 * 75% = 20*75/100 = 15. So, the answer is 20.

Step-by-step explanation:

You have 80 grams of tellurium how much will be left after 8 months if it’s half-life is 2 months?

Answers

Answer:

5 grams.

Step-by-step explanation:

First, find out how many half-lives have passed. Divide the number of months by the length of a half-life.

8÷2=4

4 half-lives have passed.

Now figure out how much tellurium will be left after 4 half-lives have passed. Multiply the starting amount of tellurium by [tex]\frac{1}{2}[/tex] a total of 4 times.

80 · [tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]  = 5

That calculation could also be written with exponents

80 · [tex](\frac{1}{2} )^{4}[/tex] = 5

After 4 half-lives, the amount of tellurium left will be 5 grams.

Help is number 2 correct and help for number one​

Answers

Number 2 is incorrect :

[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]

Number 1 :

[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)

i need help with this math

Answers

Answer:

11

Step-by-step explanation:

Answer:

k = 11

Step-by-step explanation:

4k + 39 = 7k + 6 ( subtract 7k from both sides )

- 3k + 39 = 6 ( subtract 39 from both sides )

- 3k = - 33 ( divide both sides by - 3 )

k = 11

Pls help me
AND

PLS FOLLOW THE RULES

TROLL FOR POINTS= REPORT

FIRST AND CORRECT ANSWER= BRAINLIEST

( NO LINKS ) at all

Answers

Pythagorean Theorem: a^2 + b^2 = c^2

a = 23 m

b = 11 m

c^2 = (23 m)^2 + (11 m)^2 = 650 m^2

c = sqrt(650 m^2) = 25.5 (rounded to nearest tenth)

Please help 3(2x+1)+2(x+4)

Answers

Answer: 8x+11

Step-by-step explanation:

Other Questions
Please help me! There is a picture. zelma buys p pounds of bananas for 40 cents per pound. she pays the clerk with a $20 bills. The clerk Subtract The total cost of the banana from the $20 bill to determine the amount of change to give zelma. which expression represents the amount of change Zelma should received?[tex]A.p-20B.20-40pC.20-0.40pD.0.40p-20 I just dont know how to conjugate these pls help helloooooooooooooooooooooooooooooooooooo Which of the following would describe Slope?A Rise/RunB The rate of changeC The steepness of a lineD All of the above Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money what is the most she could charge for each bracelet? A hole-punch machine is set to punch a hole 1. 84 centimeters in diameter in a strip of sheet metal in a manufacturing process. The strip of metal is then creased and sent on to the next phase of production, where a metal rod is slipped through the hole. It is important that the hole be punched to the specified diameter of 1. 84 cm. To test punching accuracy, technicians have randomly sampled 12 punched holes and measured the diameters. The data (in centimeters) follow. Use an alpha of. 10 to determine whether the holes are being punched an average of 1. 84 centimeters. Assume the punched holes are normally distributed in the population. 1. 81 1. 89 1. 86 1. 83 1. 85 1. 82 1. 87 1. 85 1. 84 1. 86 1. 88 1. 85 Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in his shoes and carrying the school bag. what weight will be recorded? Sally and Will are very picky eaters. At the start of dinner, Sally pushed half of her peas onto Will's plate. Then, when their mom wasn't looking, Will pushed half of his peas onto Sally's plate. Finally, Sally once again pushed half of her peas onto Will's plate. When their mom said they would get no dessert if they didn't eat their vegetables, Sally had 25 peas on her plate and Will had 47 peas on his plate. How many peas did Sally have at first? Helena has always loved children and worked hard to become an elementary school teacher. Her family does not like this career because it traditionally does not pay a lot of money. Helena is determined to stay on her career path. What could Helena do to make sure she is secure financially? Collaborations between environmental groups and business interests on environmental issues have resulted in successful partnerships. please select the best answer from the choices provided t f A. Directions/Instructions: GivenSolution (3 points)Final Answer (1 point)Ex. : 5ab( 4a3 + 2ab - 3b4)=5ab( 4a3 + 2ab - 3b4)=20a4b+10a2b2-15ab5=20a4b+10a2b2-15ab51. (6k + 5)(5k + 5) 2. (a2+6a-4)(2a-4) 3. (4x2-5x-21)(x-3) Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)B. Directions/Instructions: Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)GivenSolution (2 points)Final AnswerExample: 8c52d42=8c52d42=64c104d8=16c10d81. (4x5y3)22. 18c8(-2c)23. 3a2bab24ab2c3c What is current of 12 ohm? help me pleasee Why can't land animals evolve a better eye Kay a person with a disability is an employee of mid state transport company when the firms elevator is taken out of service kay cannot get to her offics The energy for _____ transport comes from the gradient itself Power Up Test Practice15. The table shows the money raised by each type of boothat a craft sale. The mean amount raised per booth was $50How much money was raised by the T-shirt booth? Explainhow you found your answer.Martin Gai Sande Darwins formula why is it so hard Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55, a = 10. 1, b = 12. 3Case 1 BCc Case 2BCc A = 55, a = 10. 1, b = 12. 3 tell me some words so i can translate them