what is the converse of the linear pairs theorem

Answers

Answer 1
If you know the Linear pair Theorem, the converse can be easily obtained by switching the condition and the conclusion. For example, If it is raining, then the outside is wet. Converse: If the outside is wet, then it is raining. (It is not always true.)

Related Questions

9/10 and -9/10 determine if parallel, perpendicular, or neither

Answers

Parallel means the slopes are the same
Perpendicular means they have opposite reciprocal slopes.

We can apply these concepts to this question. Although they are opposites of each other, they are not reciprocals.

So, the answer is neither

Hope this helps!

Which is the best estimate of each percent 48% of 199

Answers

95.52 is the correct answer 

LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a box that is 4in x 6in x 2in? In your final answer, include all of your calculations.

Answers

I have posted a picture showing the solution. The cube (gift [box]) is not drawn to scale, but it is good enough, and underneath is all the information needed.
The answer, also in the picture, is 88 square inches (or 88 in.^2)

Hope this helps!

there are 6 sides to a cube

2 are 4*6 = 24*2 =48

2 are 4*2 = 8*2 = 16

2 are 6*2 = 12*2 =24

48 +16 +24 = 88 square inches total


1.3 divided by 0.0338 step by step please

Answers

Alright, so we have 1.3/0.0338. Since it's easier (in my opinion) to work with whole numbers, we can multiply the fraction by 10000/10000 to get 13000/338. With a bit of guess and check, we can see that
338*30=338*3*10
1 2               (what I carry is at the top)
338
x3
____
1114

Multiplying that by 10, I get 11140, which isn't enough. Trying 338*40, which is 338*4*10, we can add 338 to 338*3 to get 338*4 to get 

    2
1114
+338
____
1462

Multiplying that by 10, we get 14620, which is more than 13000 - something we don't want. Repeating this for 338*35 (which is 338*3.5*10, and 3.5 is 3*338+338/2)=11830 and which isn't enough, we then move on to something between 35 and 40 (the number doesn't matter), say 39. 338*39=338*3.9*10, and 338*3.9 is 338*3+338*9/10, and 
338*39 results to 13182, which is more than 13000 , but only by a tiny bit, so we can try 38 using the same method, getting 12844, which is smaller, so we know it's between 38 and 39. Finding the difference between 13000 and 12844, we get 13000-12844=156 and the answer is therefore 38+156/338

A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour. how many minutes must she run?

Answers

Speed =distance /time
7.5=10/time
Time =1.3333 hour=60+.3333*60=80 minutes

A runner must run for 50 minutes to cover the distance of 10 kilometers.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour.

7.5 miles = 12 kilometers
Speed = 12 kilometers/hours
1 hour = 60 minutes

Speed = 12 / 60 kilometers per minute
Speed = 0.2 kilometers per minute

Time = distance/speed
Time = 10 / 0.2
Time = 50 minutes

Thus, A runner must run for 50 minutes to cover the distance of 10 kilometers.

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How many 2/3
cup servings are there in a 12-cup pitcher of orange juice?

Answers

12 / (2/3)
12 * 3/2
36/2
18 cups

Hope this helps!
12 cup2/3

18 times 2/3 the answer should be there

The first aircraft has 73 more seats than the second aircraft. The third aircraft has 57 fewer seats than the second aircraft. If their total number of seats is 427 find the number of seats for each aircraft.

Answers

first aircraft seats : x
second aircraft seats : y
third aircraft seats : z

The first aircraft has 73 more seats than the second aircraft: x = y + 73

The third aircraft has 57 fewer seats than the second aircraft: z = y - 57

Their total number of seats is 427: x + y + z = 427


solve these three equations, you will get:

x = 210 seats
y = 137 seats
z = 80 seats


-------------------------
 you can check your answer by:

x - y = 210 - 137 = 73  correct

and

z + 57 = 80 + 57 = 137 = y correct

Each week, Christian earns $x fixing bicycles and receives $10 as his allowance. To find how much he will earn in total over 2 weeks, Christian calculates: x + 10 + x + 10. What is another way Christian can calculate how much he will earn in total over the 2 weeks?

A. x + 10


B. 2x + 10


C. x + 20


D. 2(x + 10)

Answers

The answer is B.
If he earns $x in one week, then you need 2x to calcualte 2 weeks, add that with his allowance and there you have it.

Christian can calculate his total earnings over 2 weeks by simplifying the expression x + 10 + x + 10 to 2(x + 10). This method combines his earnings from fixing bicycles and his allowance for each week. Therefore, the correct answer is D. 2(x + 10).

To calculate how much Christian will earn in total over 2 weeks, you can simplify the expression x + 10 + x + 10:

First, combine like terms for the amount he earns from fixing bicycles: x + x = 2x.Next, combine the constants for his allowance: 10 + 10 = 20.This gives us the total expression: 2x + 20.

Rewriting this, you get 2(x + 10). Therefore, the correct answer is D. 2(x + 10).

chance to get brainliest What are the lower bound estimate and the upper bound estimate found by rounding to the greatest place? 764 – 241 A. lower bound 400 upper bound 600 B. lower bound 400 upper bound 500 C. lower bound 500 upper bound 600 D. lower bound 200 upper bound 800

Answers

I believe it would be the second option, B. I hope this helps! ^^ 
Final answer:

The lower bound estimate and upper bound estimate are found by rounding 764 to 700 and 241 to 200, then subtracting to get 500. However, the mistake in the options seems that both the lower and upper bound estimates are 500. Based on the given options, the right answer should be option C with lower bound 500 and upper bound 600, albeit the upper bound estimate is not correctly represented.

Explanation:

The lower bound and upper bound estimate of a calculation are found by rounding each number involved to the greatest place value then performing the calculation. In the case of the subtraction 764 - 241, the lower bound estimate will be calculated by underestimating both figures, and the upper bound will be calculated by overestimating.

Round down 764 to 700 and 241 to 200, then subtract: 700 - 200 = 500.Round up 764 to 800 and 241 to 300, then subtract: 800 - 300 = 500.

Therefore, both the lower bound estimate and the upper bound estimate are 500 and the correct option is C. lower bound 500 upper bound 600

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What is the algebraic expression for the quotient of a number and nine

Answers

The algebraic expressions would be a÷9

The equation of a line is x + 4y = 15.

What is the y-intercept of the line?



415

15

−15

154

Answers

I get 15/4 or 15 over 4

Answer:

Option D.

Step-by-step explanation:

Y-intercept form of the equation of a line is given by y = mx + c

Where m = slope of the line

c = y-intercept

Given equation of a line is x + 4y = 15

We will transform this equation into the y intercept form first.

x + 4y = 15

4y = 15 - x

y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]

Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]

Option D will be the answer.

Let f(x) = 3x + 5 and g(x) = x2. Find g(x)/f(x) and state its domain.

Answers

Let f(x) = 3x + 5 and g(x) = x^2. Find g(x)/f(x) and state its domain

g(x)/f(x)  = x^2 / (3x + 5)
set  denominator equals 0.
so
3x + 5 = 0
3x = -5
  x = -5/3

Therefore x cannot equal -5/3

Domain (-∞ , -5/3) ∪ (-5/3, ∞)

hope it helps

Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin

Answers

According to my calculations it is C

Answer:

Transformation of ΔABC rotation of 180° about the origin .

Step-by-step explanation:

Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .

Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .

To find :

      Describe the transformation of ΔABC.

Formula used : 180° rotation (clock wise and counter clock wise)

                                   ( x , y ) -------> ( -x , -y ).

Solution :

                   A ( 3,5)-------> A' ( -3,-5).

                   B( 6,1)---------> B'(- 6,-1).

                  C( 0,1).---------> C'( 0,-1) .

Therefore, the transformation of ΔABC rotation of 180° about the origin .

During a huge snowstorm in the White Mountains last year, it snowed 61.5cm in one day. How much did it snow in meters? Be sure to include the correct unit in your answer.

Answers

Final answer:

The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.

Explanation:

To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.

This is because:

1 meter = 100 centimetersTo convert centimeters to meters, divide by 10061.5 cm / 100 = 0.615 meters

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5x^2+-8x^2 how to simplify

Answers

These terms are like terms since they are completely the same, excluding the coefficient. To combine the terms, add the coefficients.

5+(-8)=-3

Final answer: -3x^2

the product of 15 and 7 added to 8

Answers

the answer would be 113. hope that helped

Final answer:

To calculate the requested expression, multiply 15 by 7 to get 105, and then add 8 to this product to find the sum, which is 113.

Explanation:

The question asks to calculate the result of the mathematical expression where a product is first found by multiplying 15 and 7 and then that product is added to 8. To solve this, you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, calculate the product of 15 and 7 to get 105.

Next, add this product to 8 to find the final result.

So, 105 + 8 equals 113.

The correct answer to the question is 113, which is the sum of the product of 15 and 7, with 8 added.

The length of a rectangle is 3 inches more than the width. the perimeter is 30 inches. find the length and width.

Answers

the length would be 9, and width would be 6.

Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.

Answers

Hello,

c- one plane can be drawn so it contains all three points.
(i just took this on a mastery test)

Answer: The answer is (c) One plane can be drawn so that it contains all three points.


Step-by-step explanation:  We are given three points R, S and T in a coordinate plane. Considering all these three points to be distinct and non-collinear, we can draw the following conclusions.

(i) Since each pairs of points. i.e., (R,S), (S,T) and (T,R) give rise to a straight line when joined, so option (a) is incorrect.

(ii) Through any two given points, we can always draw a line. If we consider a third point and since we are dealing with non-collinear points, so one line cannot be drawn through three points.

(iii)We can always draw a line by joining two points and when we join the two ends of the line to a third point which does not lie on the line, it will give rise to a plane. So, option (c) is correct.

(iv) We cannot draw two different planes through three given points. If we do so, the new plane will coincide with the previous one. This proves that option (d) is not correct.

Please see the attached figure, where P, Q and R are three non-collinear points. They give rise to a plane.

Thus, the correct option is (c).

If x2 + kx + 18 is factorable, what are the possible values of k?

Answers

Assume that x² + kx + 18 if factorable.

The factors of 18 are
(1 x 18); (2 x 9); (3 x 6).

If we use (1, 18) as factors, then
(x - 1)(x - 18) = x² - 19x + 18 => k= -19
or
(x + 1)(x + 18) =  x² + 19x + 18  => k = 19

If we use (2,9) as factors, then
(x - 2)(x - 9) = x² - 11x + 18  => k = - 11
or
(x + 2)(x + 9) = x² + 11x + 18  => k = 11

If we use (3, 6) as factors, then
(x - 3)(x - 6) = x² - 9x + 18  => k = - 9
or
(x + 3)(x + 6) = x² + 9x + 18  => x = 9

Answer:
The possible values of k are -9,+9, -11, +11, -19, +19.

Final answer:

The possible values of k in the factorable quadratic expression x^2 + kx + 18 can be determined by finding the factors of 18 that can be multiplied to obtain the constant term.

Explanation:

If the quadratic expression x^2 + kx + 18 is factorable, the possible values of k can be determined by finding the factors of 18 that can be multiplied to obtain the constant term.

The factors of 18 are:

1 and 18

2 and 9

3 and 6

Therefore, the possible values of k are -19, -10, -3, 3, 10, and 19.

Which is bigger 30% or 1/3

Answers

1/3 is the same as 33.333333....%
1/3 is equal to 33.33 percent therefore 1/3 is bigger than 30%

Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity

Answers

Hello,

[tex]ax^2+bx+c=a(x^2+ \dfrac{b}{a}x+ \dfrac{c}{a} )\\ =a(x^2+2* \dfrac{b}{2a}x +( \dfrac{b}{a} )^2- (\dfrac{b}{a} )^2+\dfrac{c}{a})\\ =a((x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a^2} )\\ =a(x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a} [/tex]

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Step-by-step explanation:

It is predicted that the population of a particular state will double every 25 years. a) Determine the annual and monthly growth rates. Express your answers as percents. b) Determine the continuous growth rate per year. Express your answer as a percent.

Answers

Final answer:

The annual growth rate is 41.4% and the monthly growth rate is 3.45%. The continuous growth rate per year is 2.77%.

Explanation:

To determine the annual growth rate, we need to find the growth factor by taking the square root of the doubling factor. Since the population is predicted to double every 25 years, the annual growth rate would be the square root of 2, which is approximately 1.414. To express it as a percentage, we can subtract 1 from the growth factor and multiply by 100, resulting in an annual growth rate of 41.4%.

The monthly growth rate can be calculated by dividing the annual growth rate by 12. In this case, the monthly growth rate would be approximately 3.45%.

To determine the continuous growth rate per year, we use the formula: r = ln(2)/t, where r is the continuous growth rate and t is the doubling time in years. In this case, the continuous growth rate would be ln(2)/25, which is approximately 0.0277. Multiplying this by 100, we get a continuous growth rate per year of 2.77%.

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A man drives from home to the store, shops, and then drives back home. Click on the graph until the graph that best represents the given statement appears.

Answers

It'll be the third one because he stops to shop for a bit, then goes straight home.
Answer

Click the third graph (check the picture attached)

Explanation

Remember that [tex]speed=\frac{distance}{time}[/tex], so the line in the first part of the graph means that the man is driving his car at certain speed (different form zero) from home to the store. The horizontal graph in the middle of the graph means that he man is sopping at the store; therefore his driving speed is 0. The third part of the graph means that the man is driving again from the store to home.

Check the picture bellow to visualize it more easily.

A broken faucet leaks 1 gallon of water every 1 and1/3 months the amount of months that pass m varies directly with the amount of gallons leaked g. Find the equation that models this direct variation. How many months will it take for the faucet to leak 7 gallons of water?

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{\underline{m} varies directly with the amount of gallons}\implies \stackrel{months}{m}=k\stackrel{gallons}{g} \\\\\\ \textit{we also know that } \begin{cases} m=1\frac{1}{3}\\ \qquad \frac{4}{3}\\ g=1 \end{cases}\implies \cfrac{4}{3}=k1\implies \cfrac{4}{3}=k \\\\\\ \boxed{m=\cfrac{4}{3}g}\\\\ -------------------------------\\\\ \textit{what's \underline{m} when g=7?}\qquad m=\cfrac{4}{3}\cdot 7\implies m=\cfrac{28}{3}\implies m=9\frac{1}{3}[/tex]

Answer:

m = [tex]\frac{4}{3}[/tex]g, k= 9[tex]\frac{1}{3}[/tex] months

Step-by-step explanation:

What is the range of the following relation?




all real numbers
x ≤ 0
y ≤ 0

Answers

Answer

y ≤ 0

Explanation

Remember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.

Answer:

y ≤ 0 is the correct answer

Step-by-step explanation:

you gots to see it through mah boi

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 8 inches.

What it looks like: two circles touching at one point. Larger circle has radius of 8 inches. Smaller circle has radius of 2 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation? Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear? Show all work.

Answers

The two gears are shown n the diagram below.

ω₁ and ω₂ are the angular velocities of the larger and smaller gears respectively.

Part 1.
When the smaller gear makes one revolution, it turns through an angle of 2π radians or 360°.
Because the gears do not slip, the larger gear turns through an angle of θ, so that
 (θ radians)*(8 in) = (2π radians)*(2 in)
or
8θ = 4π
θ = π/2 radians = 90°

Answer: 90.0°

Part 2.
When the larger gear makes one revolution, it turns through an angle of 2π radians.
Because the gears do not slip, the smaller gear turns through an angle φ, such that
(2 in)*(φ radians) = (8 in)*(2π radians)
or
2φ = 16π
φ = 8π radians
    = (8π radians)*(1/2π rotations/radian)
    = 4 rotations

Answer:  4 rotations

Please help me out!! ☮✌

Answers

180 = 93 +3x +18

180 =111 +3x

3x = 180-111

3x = 69

x = 69/3

x = 23

Match the following items.

1.) 2x + x + 4 = -17

2.) 3x + 4 = -17

3.) 3x = -21

4.) x = -7

Given

subtraction

combine like terms

division

Answers

1.) 2x + x + 4 = -17  ....given

2.) 3x + 4 = -17............combine like terms

3.) 3x = -21..................subtraction

4.) x = -7.....................division

The correct explanation for each expression are;

1. 2x + x + 4 = -17                 Given

2. 3x + 4 = - 17                    Combine like term.

3. 3x = - 21                           Subtraction.

4. x = -7                                Division.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2x + x + 4 = -17

Now, Solve the expression for x by using suitable property as;

⇒ 2x + x + 4 = -17

Combine like term;

⇒ 3x + 4 = - 17

Subtract 4 both side;

⇒ 3x + 4 - 4 = -17 - 4

⇒ 3x = - 21

Divide by 3;

⇒ x = - 7

Thus, The correct explanation for each expression are;

1. 2x + x + 4 = -17                 Given

2. 3x + 4 = - 17                    Combine like term.

3. 3x = - 21                           Subtraction.

4. x = -7                                Division.

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Mr Webster is buying carpet for an exercise room in his basement the room will have an art of 230 square feet the width of the room is 12 1/2 what is the length

Answers

The length of Mr. Webster's exercise room is 18.4 feet, calculated by dividing the area (230 sq ft) by the width (12.5 ft).

To find the length of the room, we can use the formula for the area of a rectangle:

[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

Given that the area is 230 square feet and the width is 12 1/2 feet, we can plug these values into the formula:

[tex]\[ 230 = \text{Length} \times 12 \frac{1}{2} \][/tex]

To solve for the length, divide both sides by 12.5:

[tex]\[ \text{Length} = \frac{230}{12 \frac{1}{2}} \]\[ \text{Length} = \frac{230}{\frac{25}{2}} \]\[ \text{Length} = 230 \times \frac{2}{25} \]\[ \text{Length} = 18.4 \][/tex]

So, the length of the room is [tex]\( \boxed{18.4} \)[/tex] feet.

Is the number of bottles of juice sold at lunch continuous or discrete?

Answers

discrete, hope it helps !
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