Help w/ Geometry!!
Here is a geometrical statement: All squares are rectangles

Write the statement in if-then form:
What is the hypothesis of the statement?
What is the conclusion of the statement?

Answers

Answer 1

Answer:

If the shape is a square,then it is a rectangle.

Step-by-step explanation:

The hypothesis of the statement is the one which follows after if,

If the shape is a square.

The conclusion of the statement is the sentence that follows after then,

Then it is a rectangle.

Answer 2
Final answer:

The statement 'All squares are rectangles' translates into an if-then form as 'If a shape is a square, then it is a rectangle'. The hypothesis is 'a shape is a square' and the conclusion is 'it is a rectangle'.

Explanation:

The geometrical statement 'All squares are rectangles' can be translated into an if-then form as follows: 'If a shape is a square, then it is a rectangle'. In this statement, the hypothesis is 'a shape is a square' and the conclusion is 'it is a rectangle'. This means that if we start with a shape and it happens to be a square (which is our condition or hypothesis), then it must also necessarily be a rectangle (which is our end result or conclusion). This is because all the properties of a rectangle - having all angles being 90 degrees and opposite sides being equal - are also properties of a square.

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Related Questions

How would you name line segment AH?

Answers

Answer:

last one

Step-by-step explanation:


Answer:

d

Step-by-step explanation:


63÷10 63÷10^2 63÷10^3. Please answer these equation and type the answer in the space below in the comment section THX and have a awesome day:)

Answers

63/10. 63/100. 63/1000

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear regression equation for the data to be y = 9.6x + 65.8. What does the 9.6 mean in the context of this equation? A) His friends on average studied 9.6 hours. B) If they studied 9.6 hours they would get a 0 on the test. C) They should study 9.6 hours in order to get an A on the test. Eliminate D) For every hour they studied their grade would go up 9.6 points.

Answers

Well assuming x is hours, answer D is correct. This is because we are taking amount of hours as the input and the grade they got as an output. So, assuming that every unit step means an hour, for each extra hour someone studied, they got 9.6 more points. The +65.8 means that usually someone who didn't study got a 65.8 because when x is 0 (0 hours studied), what's left is 65.8

Answer:

The answer is D

Step-by-step explanation:

Trust me i just did it on USA TP

Which of the following represents a proportional situation?

x f(x)
–1 4
0 2
1 0
2 –2

x f(x)
–1 –6
0 –3
1 0
2 3


(The two attached files are C and D)

Answers

the answer would be C (the first attached file) because it passes through the origin (0,0)

What is the probability of spinning a 2 on a spinner that has 8 equal sides numbered 1-8 and rolling a 3 on a die

Answers

Answer:

1/48

Step-by-step explanation:

To find the probability of 2 independent events, we multiply their probabilities together.


Probability of getting a 2 on the spinner, 1 of 8 spots

1/8  =

Probability of getting a 3 on the die, 1 of 6

1/6 =


Multiply these probabilities together

1/8 * 1/6 = 1/48

Compare the volume of a square pyramid to the volume of a square prism with the same base and height as the pyramid.

Answers

Answer:

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

Step-by-step explanation:

The volume of a square pyramid is given by the formula

V = 1/3 s^2 h

where s is the side length of the base

The volume of a square prism given by the formula

V =  s^2 h

where s is the side length of the base

So dividing the two, taking the pyramid on top

1/3 s^2 h

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

 s^2 h

If the bases are the same, then the side lengths are the same and we know the heights are the same.  We will cancel them from the top and the bottom.

1/3

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

1

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

Step-by-step explanation:

The volume of a square pyramid is given by the formula

V = 1/3 s^2 h

where s is the side length of the base

The volume of a square prism given by the formula

V =  s^2 h

where s is the side length of the base

So dividing the two, taking the pyramid on top

1/3 s^2 h

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

s^2 h

If the bases are the same, then the side lengths are the same and we know the heights are the same.  We will cancel them from the top and the bottom.

1/3

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

1

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

There were 200 people who voted at the Town council meeting all these people 40% voted for a new basketball court in the park how many people voted against building a new basketball court use numbers in words to explain your answer

Answers

Answer:

120 people voted against building the new basketball court.

Step-by-step explanation:

if you divide 200 by 100 then you know how many people equal 1 percent of the 200. knowing that for every 2 people they are equal to 1 percent. so if you do 100 -40 you get 60. the 100 represents the 100 percent and you subtract 40 because these are the people who are voting for the basketball court. The 60 represents the percent of people who are voting against building the basketball court. then you multiply 60 by 2 and you get 120.

Jonathan worked at mcdonalds 20 hours pet week and earned 195.Use the equation 20h=195 to find jonathan's hourly wage

Answers

Answer:

He earns 9.75 per hour.

Step-by-step explanation:

195/20 = 9.75 and 9.75 x 20 = 195.

Answer:

All you will need to do is just divide 195 by 20 and your answer will be $9,75 cents. Hope this helps!!!!!

Huilan is 9 years older than Thomas. The sum of their ages is 53 . What is Thomas's age?

Answers

Answer:

The answer is 43. Hope this helps!!!!!

Step-by-step explanation:


Answer:

The correct answer is that Thomas's age is 44.

Step-by-step explanation:

If the sum of their ages is 53 and Huilan is 9 years older all we have to do is subtract 9 from 53, which equals 44.


Hope this helps,

Davinia.

When you roll a standard number cube once, what is the probability of rolling a number divisible by 3?

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

On a standard cube there are the numbers 1, 2, 3, 4, 5, 6

Only 2 are divisible by 3, that is 3 and 6, hence

P(divisible by 3 ) = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]


HELPP! Calculate S22 for the arithmetic sequence in which a12=2.4 and the common difference is d=3.4

Answers

Answer:

S22 for the arithmetic sequence is:

First option: 15.4

Step-by-step explanation:

a12=2.4

d=3.4

S22=?

Sn=(a1+an)n/2

n=22

S22=(a1+a22)22/2

S22=(a1+a22)11


ak=aj+(k-j)d

a12=a1+(12-1)d

2.4=a1+11(3.4)

2.4=a1+37.4

Solving for a1: Subtracting 37.4 both sides of the equation:

2.4-37.4=a1+37.4-37.4

Subtracting:

-35=a1

a1=-35


a22=a12+(22-12)d

a22=2.4+10(3.4)

a22=2.4+34

a22=36.4


S22=(a1+a22)11

S22=(-35+36.4)11

S22=(1.4)11

S22=15.4


A jet ski company charges a flat fee of $26 plus $3.25 per hour to rent a jet ski another company charges a fee of $24 plus $3.50 per hour to rent the same jet ski find number of hours for which the cost are the same round your number to the nearest whole hour

Answers

Answer: 8 hours

Step-by-step explanation:

Company 1: 3.25x + 26

Company 2: 3.50x + 24


3.50x + 24 = 3.25x + 26

0.25x  +24 = 26        subtracted 3.25x from both sides

0.25x = 2            subtracted 24 from both sides

x = 8               divided both sides by 0.25


Check:

Company 1: 3.25x + 26  =  3.25(8) + 26  = $52

Company 2: 3.50x + 24  = 3.50(8) + 24  = $52

There are 6,000 products at the store in one hour, 425 products are sold how products are left

Answers

Answer:

5575

Step-by-step explanation:

its just subtraction you take the 6000 and subtract 425 and thats how you get whats left they try to trick you using the time im guessing correct me if im wrong

50 POINTS!!!!!!!!!
The base (b) of the triangle is _ units.
A) 3 B) 5 C) 8 D) 13
The height (h) of the triangle is units.
A) 3 B) 5 C) 8 D) 13
The area of the triangle is square units.
A) 5 B) 7.5 C) 15 D) 30

I WILL KNOW IF YOU ARE WRONG!!!!!!!

Answers

Answer: the base is: 3 units

The height is: 5 units

The area is: 7.5 units

Step-by-step explanation: I just answered this question ❤️

The base of triangle is, 3 units

The height of triangle is, 5 units

And, The area of triangle is, 7.5 units²

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in image.

Now, We get by graph of triangle;

The base of triangle is, 3 units

The height of triangle is, 5 units

We know that;

⇒ Area of triangle = 1/2 × base × height

⇒ Area of triangle = 1/2 × 3 × 5

⇒ Area of triangle = 7.5 units²

Thus, The base of triangle is, 3 units

The height of triangle is, 5 units

And, The area of triangle is, 7.5 units²

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emma is planning a surprise party. she is considering.......

Answers

Answer:


Step-by-step explanation:

what is she considering? I would need more information to complete the probolem

Answer:

Nothing...

Step-by-step explanation: Do you have choices, because if you do, please edit your question so I could help you :)


At a county fair, 9 people out of 1,000 earned a perfect score in a carnival game. What decimal represents the number of people who earned a perfect score?

Answers

Answer:

Decimal represents the number of people who earned a perfect score is 0.009 .

Step-by-step explanation:

As given

At a county fair, 9 people out of 1,000 earned a perfect score in a carnival game.

[tex]Number\ of\ people\ who\ earned\ a\ perfect\ score = \frac{People\ who\ earned\ perfect\ score}{Total\ number\ people}[/tex]

people who earned a perfect score = 9

Total number of people = 1000

Put in the above

[tex]Number\ of\ people\ who\ earned\ a\ perfect\ score = \frac{9}{1000}[/tex]

Number of people who earned a perfect score = 0.009

Therefore  decimal represents the number of people who earned a perfect score is 0.009 .

Given: ∆AKL, AK = 9 m∠K = 90° m∠A = 60° Find: P∆AKL The area of ∆AKL

Answers

Final answer:

The perimeter (P∆AKL) of triangle AKL is 21.294 m, and the area is 20.25 m². Triangle AKL is a 30-60-90 triangle, with sides in the ratio 1:√3:2, allowing for straightforward calculations of the perimeter and area using the given side lengths and right triangle properties.

Explanation:

To find the perimeter (P∆AKL) and the area of triangle AKL (∆AKL), we can use the properties of a right triangle. Since we have one angle of 60°, and the right angle 90°, the remaining angle must be 30°. With this information, we recognize that triangle AKL is a 30-60-90 special right triangle.

For a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. Knowing one side, AK (the side opposite the 60° angle), is 9 m, we determine the side opposite the 30° angle (AL) is half that length, so AL = 9m / 2 = 4.5 m. The side opposite the 90° angle (KL) is √3 times the side opposite the 30° angle, so KL = 4.5m * √3 = 7.794 m.

Now we can find the perimeter (P) by adding all the sides:

AK + AL + KL = 9m + 4.5m + 7.794m = 21.294 m

The area (A) of a right triangle is (½)*base*height.

A = (½) * AK * AL = (½) * 9m * 4.5m = 20.25 m²

The swimsuit is on sale for 25% off its original price. If the original price was $58. What is the sale price?

Answers


[tex]58.00 \div 10 \times 2 \div 2 \div 2[/tex]

How many rows are needed to seat all students. When there are 846 students and each row holds 18 people

Answers

Answer:

The answer is 47 rows.

Step-by-step explanation:

If we have 846 students, and each row can hold 18 people.

We just divide the total students into the number of people sitting by row.

846 ÷ 18 = 47.

A total of 56 students signed up to play in a flag football league. If each team has 10 students, how many more students will need to sign up so all of the students can be on a team?

Answers

Final answer:

A total of 4 more students need to sign up for all 56 students to be placed on teams of 10 in the flag football league.

Explanation:

The question is asking how many additional students will need to sign up to ensure that all students can participate in a flag football league, with the stipulation that each team is made up of 10 students. With 56 students currently signed up, we can divide this number by the team size to see how many complete teams can be formed:

56 students ÷ 10 students per team = 5 teams with 6 students left over.

To have a complete additional team, 10 students are needed. Since there are already 6 students without a team, the number of additional students required is:

10 students needed for a complete team - 6 students already signed up but not placed on a team = 4 additional students needed.

a flying object's height in the sky can be represented by the equation d= 30+vt+[tex]4t^2\\[/tex] where d is the height in feet, v is the velocity in feet per second, and t is the time in seconds. how long has the flying object been traveling if it has a velocity of 8 feet per second and has risen to a height of 126 ft?

a). 4 seconds
b). 6 seconds
c). 8 seconds
d). 16 seconds

Answers

Answer:

t=4 seconds

Step-by-step explanation:

The equation given to us is

d=30 + vt + 4t²

d=126 feet

v= 8 ft per second

to find t =?

Now putting the values in the above equation gives

126 = 30 + 8t + 4t²

126 - 30 = 8t + 4t²

96 = 8t + 4t²

Dividing the whole equation by 4

[tex]\frac{96}{4}=\frac{8t}{4}+\frac{4t^{2} }{4}[/tex]

it will become

24 = 2t + t²

taking 24 to other sides of equality

0 = 2t + t² -24

t²+2t-24=0

Now we will do mid term breaking of the eqaution

t²+6t-4t-24=0

taking common from the equation

t(t+6)-4(t+6)=0

(t+6)(t-4)=0

so it becomes

t+6 = 0                  or   t-4 =0

t =-6                       or   t = 4 seconds

as time can not be negative

so t=4 seconds


bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby. how many items were on johnny’s (x) and bobby’s (y) christmas lists?

Answers

Answer:

Johnny had 5 items and Bobby had 13 items.

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

[tex]\Rightarrow y=3+2x[/tex]  ----------1

Johnny asked for 8 fewer items than bobby. So,

[tex]\Rightarrow y-8=x[/tex]  -----------2

Putting the value of x from equation 2 in equation 1, we get

[tex]\Rightarrow y=3+2(y-8)[/tex]

[tex]\Rightarrow y=3+2y-16[/tex]

[tex]\Rightarrow 2y-y=16-3[/tex]

[tex]\Rightarrow y=13[/tex]

Putting the value of y in equation 2,

[tex]\Rightarrow 13-8=x[/tex]

[tex]\Rightarrow x=5[/tex]

So, Johnny had 5 items and Bobby had 13 items.

A market buys mixed nuts at $15 per pound.They want to make a 20% profit. What would you pay for 1 pound of nuts

Answers

Answer:


Step-by-step explanation:

100% = $15

20% = 1.2*15 = $18


Quick check

which statement is true of normally distributed data ??

a. approximately 68% of the data falls within 2 standard deviations (+-2) of the mean

b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

c. approximately 75% of the data falls within 2 standard deviations (+-2) of the mean

d. approximately 75% of the data falls within 1 standard deviation (+-1) of the mean

Answers

Answer:

The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

Explanation:

According to the empirical rule of normal distribution:

1. Approximately 68% of the data falls within 1 standard deviation [tex]\pm 1[/tex] of the mean

2. Approximately 95% of the data falls within 2 standard deviations [tex]\pm 2[/tex] of the mean

3. Approximately 99.7% of the data falls within 3 standard deviations [tex]\pm 3[/tex] of the mean.

Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct


Final answer:

The true statement about a normally distributed dataset is that approximately 68% of the data falls within 1 standard deviation (±1) of the mean, which is known as the 68-95-99.7 rule or the empirical rule.

Explanation:

This question pertains to properties of a normally distributed dataset. In such a distribution, a majority of the data falls within a specific range of the mean (average), defined by the standard deviations. Understanding standard deviations allows us to comprehend how spread out the data is from the average.

In the case of normally distributed data, it is factually correct that approximately 68% of the data falls within 1 standard deviation (±1) of the mean. This is known as the 68-95-99.7 rule or the empirical rule, which states that 68% of data falls within 1 standard deviation, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations of the mean for a normal distribution.

Therefore, the correct statement from the list provided in your question is option (b).

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Calculate the sum of the infinite series

Answers

Answer:

[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

Here a= 20, r = -1/2

Here, the absolute value of r is 1/2 which is less than 1. So, the series converges.

The sum of an infinite geometric series is given by

S = [tex]\frac{a}{1-r}[/tex]

Substituting the values in the above equation, we have

[tex]S = \frac{20}{1-(-1/2)} =\frac{20}{3/2} =\frac{40}{3}[/tex]

∴ The sum of the given infinite series is 40/3

Answer:

A. 40/3 hope thats helpful


( 20 PTS HELP FAST PLEASE I DON'T UNDERSTAND HOW TO DO THIS ) Fred Brown and his sister, Nancy, each have $15 in the bank. Every week Nancy plans to add $3 to her account. Fred who loves to spend money when he has it, plans to add $1 to his account each week. How many weeks will it take for Nancy’s account to have twice as much money as Fred’s account? (Explain your thinking using words and numbers.)

Answers

You don't have to give me that many points. :)
OK so let's write this in equation form. First thing we think about is if the equation arithmetic (they add the same amount of money each week) or geometric (they add steadily increasing or decreasing amounts of money each week). Since Nancy and Fred add a fixed amount of $3 and $1 respectively, we're going to call them arithmetic sequences.

The equation for an arithmetic sequence is
an=a0+dn, where d is the amount of money added every week, n is the week number they're on and a0 is the amount of money they would've had a week before the first week. I'll explain this more in detail.

So Nancy increases by $3 every week: d=3. n is what we want to find. She starts out with $15. Imagine she had the same rule (increasing by $3) but started a week earlier. The term before 15 is 12. So a0 is 12. Her equation is an=12+3n. Let's do the same for Fred.

Fred increases by $1 and if he started a week earlier, he would've started with $14, so his equation is an=14+n. Now you want to find n so that Nancy's account (the first equation equals two times as much money as Fred has (the second equation.

So 12+3n=2(14+n).
Solving for n,
12+3n=28+2n
Combine like terms, so subtract 2n from both sides and then subtract 12 from both sides.
12+n=28
n=16
So on the 16th week, Nancy will have twice as much money as Fred. Hope this helped!
Final answer:

It will take 15 weeks for Nancy’s account to have twice as much money as Fred's.

Explanation:

We are looking for the number of weeks it will take for Nancy’s account to have twice as much money as Fred’s account. Both Fred and Nancy start with $15. Each week, Nancy adds $3 to her account and Fred adds $1 to his account.

So we have to solve the equation: 15 + 3x = 2 * (15 + x), where x is the number of weeks. Simplifying the equation gives us x = 15 weeks. Thus, it will take 15 weeks for Nancy’s account to have twice as much money as Fred’s account.

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In 1990, a glacier was 400 meters away from a road. Every year since then, it has moved 7 meters closer to the road. At this rate, when will it meet the road?

Answers

Answer:

57 years

Step-by-step explanation:

Divide 400 by 7.


To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students, three samples with 25 students, in each group, were randomly selected from data used by Raferty and Hout (1985). One group of students attended secondary school, the second group of students attended vocational school, and the third group consisted of students who attended only primary school.
Select one answer.
If we let μ1, μ 2, and μ 3 be the mean verbal reasoning scores for students who attended secondary school, vocational school, and primary school only, respectively, the appropriate hypotheses in this case are:

a. H0: μ1 = μ2 = μ3

Ha: μ1, μ2, μ3, are not all equal

b. H0: μ1, μ2, μ3, are not all equal

Ha: μ1 = μ2 = μ3

c. H0: μ1 = μ2 = μ3

Ha: μ1 μ μ2 μ μ3

d. H0: μ1 μ μ2 μ μ3

Ha: μ1 = μ2 = μ3
e. None of the above are correct.

Answers

The correct hypotheses are:

b. [tex]\(H_0: \mu_1 = \mu_2 = \mu_3\) and \(H_a: \mu_1, \mu_2, \mu_3\) are not all equal.[/tex]

To determine the appropriate hypotheses for testing the relationship between the type of school attended and verbal reasoning scores for Irish students, we first need to understand the nature of the comparison being made.

We have three groups of students: those who attended secondary school, vocational school, and primary school only. We want to investigate if there is a difference in the mean verbal reasoning scores among these groups.

The null hypothesis  [tex](\(H_0\)) states that there is no difference in the mean verbal reasoning scores among the three types of schools, expressed as \( \mu_1 = \mu_2 = \mu_3 \), where \( \mu_1 \), \( \mu_2 \), and \( \mu_3 \)[/tex] are the population means for students attending secondary school, vocational school, and primary school only, respectively.

The alternative hypothesis  [tex](\(H_a\)) suggests that at least one of the population means is different from the others, expressed as \( \mu_1, \mu_2, \mu_3 \)[/tex] are not all equal.

Option b correctly represents these hypotheses:

[tex]\(H_0: \mu_1 = \mu_2 = \mu_3\) \(H_a: \mu_1, \mu_2, \mu_3\) are not all equal.[/tex]

This formulation allows for the testing of differences in mean verbal reasoning scores across the three types of schools. The null hypothesis assumes equality among the means, while the alternative hypothesis considers the possibility of inequality.

This table can be used to organize Raj’s credit card balances and payments over 6 months. The annual percentage rate on the card is 18%.
Raj’s Credit Card Payments
(Month) (Balance) (Payment) (Interest Rate) (Interest Charged)
1 $500 $100 0.015 $6.00
2 - $50 0.015 -
3 - $50 0.015 -
4 - $50 0.015 -
5 - $50 0.015 -
6 - $50 0.015 -

What is the amount of total interest charged for the first 6 months?

Answers

Answer: 25.90

Step-by-step explanation:

Edge

Final answer:

The total interest charged for the first 6 months is $36.00.

Explanation:

The total interest charged for the first 6 months can be calculated by adding up the interest charged for each month. From the table, we can see that the interest charged for each month is $6.00. Since there are 6 months, we can calculate the total interest charged as follows:

Total Interest Charged = Interest Charged per Month x Number of Months
Total Interest Charged = $6.00 x 6
Total Interest Charged = $36.00

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Anthony has 18 stickers.He wants to give 3 to each of his friends.How many friends can he give stickers to?

Answers

Anthony can give 6 of his friends 3 stickers
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