30. Which reason justifies the statement below?


A. Definition of Congruence
B. Angle Addition Postulate
C. Supplement Theorem
D. Definition of Vertical Angles

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

Answer:

the first box is proportional but the second is not

thus; y is (4/3)x for the first illustration

Answer:

x=38

Step-by-step explanation:

hope this helps!

if angles are on a line like that, both equations added up together will always be equal to 180.

like this:

2x-10+3x = 180

5x-10=180 (combine)

5x=190 (subtract 10 on both sides)

x=38 (divide both sides by 5)

Answer:

p(A) + p(B)

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.

As such, if A and B are two events, the probability of occurrence of either A or B is given as

= p(A) + p(B)

where p(A) and p(B) are the probabilities of A happening and B happening respectively.

Answer:

Part 1) Option B. y = 10x + 45

Part 2) The score is 95

Step-by-step explanation:

Linear equation that best describes the given model

Let

x ---> number of hours students spent studying

y --->  their score on the test

Looking at the line that was fit to the data to model the relationship

The slope is positive

The y-intercept is the point (0,45)

For x=1, y=55 ----> point (1,55)

Find the slope

The formula to calculate the slope between two points is equal to

substitute  the points (0,45) and (1,55)

Find the equation of the line in slope intercept form

we have

substitute

Part 2) Estimate the score for a student that spent 5 hours studying.

For x=5 hours

substitute in the linear equation and solve for y

Answer:

Part 1) Option B. y = 10x + 45

Part 2) The score is 95

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 48 hotdogs because 120 divided by $2.50 is 48

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”  The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety.

Answer:

(A) Population data

(B) The figures

(C) The classification of votes by political party

Step-by-step explanation:

(A) These results summarize population data. The population is the total 3,889 voters from whom information was collected.

The samples would be

- Voters registered as Democrats  (1,633)

- Voters registered as Republicans  (1,206)

- Independent Voters  (1,050)

The total of members in each sample equals the total number of people in the population.

(B) A descriptive aspect of the result is the figures or percentages. They describe how (in percentage) voters penned their votes for Brown and how they penned their votes for Whitman. NOTE: To get the percentage or fraction of those who voted for Whitman, simply subtract the percentage of Brown's supporters from a total of 100%.

(C) An inferential aspect of the results is the classification of votes by different parties (the samples are the different parties involved here). This helps to infer the sources of support for Brown and the sources of support for Whitman.

For example, if the total votes for Brown (in population result analysis) are low, the Republicans are the major reason why!

Answer:

Yes, it's a parallelogram

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Answer:

y = (1/4) 2^x

Step-by-step explanation:

Remark

y = a * x^n is the general equation. Let's see what that means.

Solution

Solve for x

t_12 = a x^12

1024 = a x^12

t_8 = a x^8

64 = a x^8

Now divide the two equations.

1024/64 = a x^12/a x^8       Cancel out the as

1024 / 64 = x^12 / x^8

16 = x^(12 - 8)

16 = x^4                               Take the 4th root of both sides.

[tex]\sqrt[4]{x^4}[/tex]  =  [tex]\sqrt[4]{16}[/tex]

x = 2

Go back and solve for a

y_12 = a x^12

1024 = a 2^12

1024 = a 4096                   Divide by 4096

1024 / 4096 = a

a = 1/4

Problem 7

a) First of negative numbers are probably not a good idea. It means that the population is going to decrease. That's not what will happen if you take care of the fruit flies.

So for the domain, 0 is a good starting point.

That will give you 100 flies on day 0. That's how many you bought.

I'm not a biologist so I have no idea in the world how long a fruit fly will live even with the best of care. I'm going to try 60 days and see what happens.

y = 100 * 1.05 ^60

y = 100 * 18.68

y = 1868

Is this number reasonable? Even with the biggest olive jar you can find, and the best care, I don't think that number is realistic. It's too large. Eventually all will die of disease because they are living in their own waste. So Let's try 20 days

y = 100 * 1.05^20

y = 100 * 2.65

y = 265

That's a lot more reasonable. So for convenience sake let us say that 265 flies could live for 20 days

So to answer the question

The domain would be 0 to 20

The range would be 100 to 265

b)

2 weeks = 2*7 days

2 weeks = 14 days

y = 100 * 1.05^14

y = 100 * 1.98

y = 198 fruit flies.

Answer:

The answer is A

Step-by-step explanation:

F the total number of fees is how much 250 + 15g equals

Answer:

Jack needs 6 hours and Jill needs 3 hours.

Step-by-step explanation:

Let's define the variables:

X  = rate at which Jack can write a holiday card.

Y = rate at which Jill can write a holiday card.

Each of them will need a given time to write a card, such that:

X*T = 1 card

We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours

Then we have the equation:

Y*(T - 3 hr) = 1 card

And we also know that when they work together, they need 2 hours, then:

(X + Y)*2 hr = 1 card.

So we have 3 equations:

X*T = 1 card

Y*(T - 3 hr) = 1 card

(X + Y)*2 hr = 1 card.

Now let's ignore the card part just for the equations, then we get:

X*T = 1

Y*(T - 3 hr) = 1

(X + Y)*2 hr = 1

To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:

T = 1/X

Now we can replace this in the second equation to get:

Y*((1/X) - 3hr) = 1

So now we have two equations:

(X + Y)*2 hr = 1

Y*((1/X) - 3hr) = 1

We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:

Y*2hr = 1 - X*2hr

Y = (1 - X*2hr)/2hr

Now we can replace this in the other equation to get:

((1 - X)/2hr)*((1/X) - 3hr) = 1

Now we can solve this for X:

((1 - X)/2hr)*((1/X) - 3hr) = 1

(1 - X)*((1/X) - 3hr) = 2 hr

1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr

1/X - 3hr - 2hr + X*6hr^2 = 2hr

1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr

1/X + X*6hr^2 = 7hr

Now we can multiply all by X to get:

X/X + X*(X*6hr^2) = 7hr*X

Now we have the quadratic equation:

(6hr^2)*X^2 - (7hr)*X + 1 = 0

We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:

[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]

Then we have two solutions:

X = (7hr + 5hr)/12hr = 1 hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.167 card/hr

Then Jill's rate will be:

Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr

So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:

X = (7hr - 5hr)/12hr = 0.166... hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.166... card/hr

If we have this, then the rate for Jill will be:

Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr

Then we have:

X = 0.167 card/hr

If we use the first equation, we get:

(0.166... card/hr)*T = 1 card

T = 1 card/((0.166... card/hr)) =  6 hours

Then Jack needs 6 hours to write a card.

And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.

Options :

a. The surveys are biased because people chose to respond or not.

b. Because of the large sample size, the results are most accurate of all members of the community.

c. The same sampling methods were used for both polls, demonstrating reliability.

Answer:

a. The surveys are biased because people chose to respond or not

Step-by-step explanation:

When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

Answer:

S=(6,5)?......not sure tho

Answer:

y=5, x=0. that is the first. I'll leave the rest to you.

Step-by-step explanation:

Answer:

600 km/hour

Step-by-step explanation:

1400 km in 2 hrs & 20 mins  (or 2.33 hours)

1400/2.33 = 600 km/hour

Answer:

Step-by-step explanation:

g=800(0.35)=280

a. 280/800=7/25

b. 520/800=13/20

Answer:

c: 38 cm

Step-by-step explanation:

I hope it's not too late

Answer:

The area is 32cm

Step-by-step explanation:

Area  = length x width

Area = 4 x 8 = 32

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

Answer:

nñœñtîęñ do îñglęs...ææ

Answer:

that it has a radius of (84/(h×pi))^1/3

Answer:

Monthly payment-$67.78

Step-by-step explanation:

I didn't really know what you wanted so I just put that because that's the only thing to suit it but next time add in more information in your question please.