Which conditional statement is always logically equivalent to the inverse?


Converse

Conditional

Conjecture

Contrapositive

[tex]\text{Given that,}\\\\(x_1,y_1) = (2, 3) ,~~~ (x_2,y_2) =(-2,-5)\\\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-5-3}{-2-2} = \dfrac{-8}{-4} = 2\\\\\\\text{Equation with given points,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 2(x -2)\\\\\implies y -3 = 2x -4\\\\\implies 2x -y = 1[/tex]

Answer:

The slope with these points can only by (-2.5) or (-8/3)

Step-by-step explanation:

Answer:

2 13/20

Step-by-step explanation:

53/20

Simplify

2 13/20

Answer:

There is no associative property of subtraction.

Step-by-step explanation:

Given:

x - (y - z) = 5 - (3 - 4) = 5 - (-1) = 5 + 1 = 6

(x - y) - z = (5 - 3) - 4 = 2 x -4 = -6

Therefore, there is no associative property of subtraction as 6 ≠ -6

The relationship between her height and the tree's is an illustration of ratios and proportions

The height of the tree is approximately 2.11 meters

Her height is represented as:

[tex]\mathbf{h =1.85}[/tex]

At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:

[tex]\mathbf{D =39.75}[/tex]

[tex]\mathbf{d =34.9}[/tex]

To calculate the height (H) of the tree, we make use of the following equivalent ratios

[tex]\mathbf{H : h =D : d}[/tex]

So, we have:

[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]

Express ratio as fraction

[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]

Multiply both sides by 1.85

[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]

[tex]\mathbf{H=2.11}[/tex]

Hence, the height of the tree is approximately 2.11 meters

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Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

Answer:

The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.

Step-by-step explanation:

Hope it helps if this is what you mean;)

Answer:

x = -2, y = -6

Step-by-step explanation:

(8x - 3y) + (-8x - 5y) = 2 + 46

-8y = 48

y = -6

8x - 3y = 2

8x - 3(6) = 2

8x + 18 = 2

8x = -16

x = -2

Answer:

[tex]\boxed { \sf (-2, -6) }}[/tex]

Step-by-step explanation:

We are asked to find the solution of the system of equations.

[tex]8x-3y=2\\-8x-5y=46[/tex]

When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.

The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.

[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]

8x and -8x cancel, then add.

[tex](-3y=2)\\+ (-5y=46)[/tex]

___________

[tex]-8y= 48[/tex]

We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.

[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]

Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.

I chose the first equation.

[tex]8x-3y=2[/tex]

[tex]8x-3(-6)=2[/tex]

[tex]8x+18=2[/tex]

Subtract 18 from both sides to isolate 8x.

[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]

Divide both sides by 8.

[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]

Coordinate points are written as (x,y) so our solution is (-2, -6)

y = -2/3x is the answer

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

y=-2/3x

The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

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Step-by-step explanation:

the triangle is an Isosceles triangle

let the another two angles be 2x

and apply angle sum property of triangle here

2x + 72° = 180

2x = 180 - 72

2x = 108

x = 108/2 = 54

therefore,

angle 2 = 54°

a/q

angle 2 = -9 + 7x

now,

54° = -9 + 7x

or

-9 + 7x = 54°

7x = 54 + 9 = 63°

x = 63/7 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Step-by-step explanation:

i think the answer is 112°.......

It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months

Answer:

Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.

In the system of equations, I am going to say that:

x is the number of dimes.

y is the number of nickels.

z is the number of pennies.

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

Two more nickels than dimes, thus:

Three times as many pennies as nickels, thus:

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

A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:

Solving for x:

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

Solving for y and z:

He has 2 dimes, 5 nickels and 12 pennies.

Answer:

whats 25% of 8

2 2 2 2 each one worth 25%

so just add 2 to the 8 and thats 10 so 10 is 125% of 8

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer

Answer:

-t+9.5<7

Step-by-step explanation:

-8.5 < 7

Answer:

2/5

Step-by-step explanation:

y=2/5x-6

m=2/5

y=mx+b

Slope:  2/5

y-intercept:  6

Step-by-step explanation:

Just Did Now, Am not Really good at asking questions

Answer:

51.81

............................................

Answer:

51.807 rounded to two decimal places is 51.81

Step-by-step explanation:

Brainliest please

~hannah32010~

Answer:  None of the answers are viable.

Step-by-step explanation:

a ≅ 8b

a/b ≅ 8

A.  (3.1/2.5) = only slightly greater than 1

B.  2.5/3.1    = slightly less than 1

C.  (2/1.2) = less than 2

D.  1.2/2 = less than 1

None of these answers is viable.

None of the options are correct.

Given,

The number a is about 8 times greater than b.

We need to find the correct value of a and b from the given options.

A. a = 3.1 and b = 2.5

B. a = 2.5 and b = 3.1

C. a = 2 and b = 1.2

D. a = 1.2 and b = 2

We have,

2 times M = 2x M

2 greater than M = M + 2

2 less than M =  M - 2

Sum = adding

Times = Multiplication

Find the value of a and b.

We have,

The number a is about 8 times greater than b.

We can write it as

a = 8 x b

Find out which option is correct.

A. a = 3.1 and b = 2.5

a = 8 x b

3.1 = 8 x 2.5

3.1 ≠ 20

So this option is incorrect.

B. a = 2.5 and b = 3.1

2.5 = 8 x 3.1

2.5 ≠ 24.8

This option is not correct.

C. a = 2 and b = 1.2

2 = 8 x 1.2

2 ≠ 9.6

This option is not correct.

D. a = 1.2 and b = 2

1.2 = 8 x 2

1.2 ≠ 16

This option is not correct.

Thus none of the options are correct.

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Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $450 × .055                                   5.5% = as a decimal (.055)

Commission = $24.75

Answer:

x < -10

Step-by-step explanation:

First, let x = unknown number. Then create the algebraic equation to solve for x. The equation would be 2x + 7 < -13, so 2x < -20, thus x < -10.

Answer:

If you wanted the in equality equation then your answer is 2n + 7 < -13

If you want the answer to the inequality then its n < -10

Step-by-step explanation:

2n + 7 < -13

     -7     -7

    2n < -20

    /2      /2

     n < -10

hi,please quit school instead

Answer:

Step-by-step explanation:

−2/9x+2.7=4

subtract 2.7 from both sides

-2.9x = 1.3

divide -2.9 from both sides

x= -.4482 or x= -.45

[tex]\text{Slope,~} \tan \theta  =\dfrac{15}{18}=\dfrac 56[/tex]

Using proportions, it is found that they won 14 games after the first 16 games.

Hence, the rule of three is:

2 losses - 3 wins

12 losses - x wins

Applying cross multiplication:

[tex]2x = 3(12)[/tex]

[tex]x = \frac{36}{2}[/tex]

[tex]x = 18[/tex]

18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.

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Answer:

maybe 0

Step-by-step explanation: