Write a proof for the biconditional using the conditional and converse.
A triangle is equilateral if and only if all the side lengths of the triangle are equal.

Answers

Answer 1

Answer: see below

Step-by-step explanation:

Hypothesis (p): A triangle is equilateral

Conclusion (q): The side lengths are equal

Conditional (p → q): If a triangle is equilateral, then its side lengths are equal.

The conditional statement is TRUE

Converse (q → p): If the side lengths of a triangle are equal, then it is equilateral.

The converse statement is TRUE

Since p → q   and  q → p are both TRUE, then it is biconditional.


Related Questions

(5, 3) and (5,-9) slope:
30 POINTS

Answers

the answer is unidentified

Determine what comes next in the given pattern.

15, 10, 14, 10, 13, 10,​

Answers

Answer:

→ 12..........

I hope this will help you....

Answer: 12, 10,

Step-by-step explanation:

how many bases does a rectangular pyramid have?​

Answers

Answer:

it has a 4 sided,1  base

Step-by-step explanation:

Answer:

One base, look at the image I uploaded;

Can some one plz help me plz

Answers

1. 10 + 5x = 20

2. 5 + 10x = 20

3. 20 - 5x = 10

4. x/5 + 10 = 20

A line passes through the points
(4,3) and (9, -7).
What is the equation for the line in
slope-intercept form?

Answers

Answer:

y=-2x+7

enter the point into point slope form to find the slope and then use one of the points in point slope form  and rearrange it to have y by itself

Number 5 please I’m having trouble

Answers

Answer:

B

Step-by-step explanation:

you would just divide 37 from 8659

A number is chosen at random from the whole numbers
between 1 and 100, inclusive.
(a) What is the probability that the number ends in a zero?
(b) What is the probability that the number is odd?
(c) What is the probability that the number is odd or ends in
a zero?

Answers

Answer:

90 for the first oneoneoneone

Step-by-step explanation:

if you drive 25 miles at a rate of 50 miles per hour. how long will this take?

Answers

Answer:

30 minutes

Step-by-step explanation:

50/25 =2 x 15 = 30

Find the area of the circle with the diameter of 16

Answers

Answer:

64 [pi]

Step-by-step explanation:

pi r²=pi (8) 2=64 pi [use the symbol]

hope this helps! :)

Answer:

803.84

Step-by-step explanation:

A=3.14r^2

A=3.14x16^2

16x16=256

256x3.14=803.84

Hope this helps : )

how do you subtract 8.43x^3 - 2.7x10^2

Answers

Answer:

Step-by-step explanation:

I tried this on a calculator but you could also do it on paper hope this helped!

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!

Answers

Answer:

14,10

Step-by-step explanation:

8=(x+2)/2

16=x+2

x=14

4=(y-2)/2

8=y-2

y=10

Answer:

Step-by-step explanation:

Please evaluate this equation, and explain how you got the answer.

Answers

Answer:

3 = f

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

Distribute within Parenthesis

18 - 3f - 4 = 3f - 4

Combine like terms

14 - 3f = 3f - 4

Add 3f on both sides of the equation

14 = 6f - 4

Add 4 on both sides of the equation

18 = 6f

Divide by 6 on both sides of the equaiton to get your answer of

3 = f

Hope this helps :)

Which deal is better? Pizza A is 10-inch diameter for $15 or Pizza B is a 12-inch diameter for $27? Which do you get more pizza per dollar spent?​

Answers

Answer:

the answer is pizza b

Step-by-step explanation:

first i did 15 divided by 10=1.50

then i did 27 divided by 12=2.25

then i did 1.25%of 12=0.15

then 2.25 of 12=0.27

you get more pizza per dollar with pizza b

What is the value of log Subscript 0. 5 Baseline 16? –4. 00 –0. 25 1. 51 2. 41.

Answers

The value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00

What is logarithm and some of its useful properties?

When you raise a number with an exponent, there comes a result.

Lets say you get

[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = log_a(c)[/tex]

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + log_b(c) = \log_a(c)\\[/tex]

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.

For this case, we have to simplify the expression [tex]log_{0.5}(16)[/tex]

Let this is equal to 'a', then:

[tex]a = \log_{0.5}(16)\\\\0.5^a = 16\\(\dfrac{1}{2})^a = 16\\\\1^a/2^a = 2^4\\\\1 = 2^4 \times 2^a\\2^0 = 2^{4+a}\\\\0 = 4 + a\\a = -4[/tex]

(we used the property that: [tex]b^0 = 1[/tex] and [tex]k^m \times k^n = k^{m+n}[/tex] )

Thus, the value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00

Learn more about logarithm here:

https://brainly.com/question/20835449

What is the image of (x,y) after a translation of 3 units left and 7 units down?

Answers

Answer:

[tex](x + 3, y - 7)[/tex]

Step-by-step explanation:

Given

[tex]Function = (x,y)[/tex]

Translation:

[tex]Left = 3\ units[/tex]

[tex]Down = 7\ units[/tex]

Required

Determine the image of the function

Apply the first translation

[tex]Left = 3\ units[/tex]

When function (x,y) is 3 units translated left, we add the units to the x value.

The new function becomes:

[tex](x,y) -> (x + 3, y)[/tex]

Apply the second translation

[tex]Down = 7\ units[/tex]

We subtract 7 units from the y value

[tex](x,y) -> (x + 3, y)[/tex]

becomes:

[tex](x + 3, y) ->(x + 3, y - 7)[/tex]

Hence:

The image of the function is:

[tex](x + 3, y - 7)[/tex]


Please help me solve 5 and 4!

Answers

4. is A
5. i dunno sorry but 4 is A :)

 The ratio of men to women working for a company is 8 to 5 if there are 135 woman working for the company what is the total number of employees

Answers

Answer:

351 employees

Step-by-step explanation:

5x27=135

8x27=216

135+216=351

Need a quick help with the point lol

Answers

Answer: Point

Step-by-step explanation: Point

Answer:

its 14 because you divide the circumfrece and then pi

Step-by-step explanation:

Jessica paid $25.50 for 3.4 pounds of shrimp. How much would it cost her to buy 8 pounds?

Answers

Answer: The answer would be $60

Step-by-step explanation: You would first wanna solve for how much one pound of shrimp costs, which is $7.5 (you divide 25.50 by 3.4) Then you would want to multiply 7.5 by 8 to get how much 8 pounds of shrimp costs.

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. the dealer used the data from the frequency table to create this conditional relative frequency table by column. a 4-column table with 3 rows titled car inventory. the first column has no label with entries current model year, previous model year, total. the second column is labeled coupe with entries 0.9, 0.1, 1.0. the third column is labeled sedan with entries 0.75, 0.25, 1.0. the fourth column is labeled nearly equal 0.79 , nearly equal to 0.21, 1.0. which is the best description of the 0.1 in the table? given that a car is a coupe, there is a 10% chance it is from the previous model year. given that a car is from the previous model year, there is a 10% chance that it is a coupe. there is a 10% chance that the car is from the previous model year. there is a 10% chance that the car is a coupe.

Answers

A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.

The dealer used the data from the frequency table to create this conditional relative frequency table by column.

A car is from the previous model year, there is a 10% chance that it is a coupe.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The person above me is correcttt~

edge2022

good luck! :)

~nxmbus

what are some ways to write 4 times x

Answers

Answer:

Some ways to write 4 times x are: 4x, 4*x

what is the perimeter of rectangle JKLM

Answers

Find lengths by reasoning shortcut

JK=6-1=5unitsJM=6-3=3units

Its a rectangle

Perimeter:-

2(JK+JM)=2(5+3)=2(8)=16units

Answer:

Perimeter = distance around a two-dimensional shape

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the diagram:

width = 3 unitslengths = 5 units

⇒ Perimeter of the rectangle = (2 × 3) + (2 × 5)

                                                 = 6 + 10

                                                 = 16 units

simplify 2 1/3 + 1 3/10 - 3 2/15



please help me quick i will mark you as brainliest and this question also gives 18 points

Answers

Answer:

7

Step-by-step explanation:

2 x 1/3 + 1 x 3/10 - 3 x 2/15

Multiplying each Side by the LCM which is 30

u will get 10 (2x1) + 3 (1x3) - 2 (3x2)

10(2) + 3(3) - 2(6)

20 + 9 -12

19 -12

7

Find the value of x. (It's an obtuse scalene triangle with two angles of 33° and 29°)

Answers

Answer:

118

Step-by-step explanation:

33+29 = 62

180 - 62 = 118

35. Priscila's age is k years while Mary's age is byears. If Mary is 15 years older than b Priscila, which of the following stateinents is correct? 2k + b = 15 -K= 15 6 K-6= 15 D. 20+k=15 A. В.​

Answers

The relationship between Priscilla's and Mary's age illustrates algebraic expression

The correct representation of the statements is b - k = 15

How to determine the representation of their ages?

From the question, we have:

Priscilla = k

Mary = b

Mary = 15 years older

The third highlight above means that:

Mary = 15 + k

Substitute b for Mary

b = 15 + k

Subtract k from both sides

b - k = 15

Hence, the correct representation of the statements is b - k = 15

Read more about algebraic expression at:

https://brainly.com/question/2164351

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.

Answers

The probability  of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

What will be the probability?

we know that the formula for probability is given by

[tex]Z=\dfrac{X-\mu }{\sigma}[/tex]

where,

Z = Z score,

X = raw score,

μ = mean,

σ = standard deviation,

The probability  of the students to be selected randomly between 350 and 550 will be given as

[tex]=P(350 < X < 550)[/tex]

[tex]=P(350-500 < X-500 < 550-500)[/tex]

[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]

[tex]=P(-1.36 < Z < 0.45)[/tex]

[tex]=P(Z-1.36)-P(Z-0.45)[/tex]

[tex]=(0.9131-0.6736)[/tex]

[tex]=0.2395[/tex]

Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

To learn more about probability follow

https://brainly.com/question/24756209

The numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the probability that it will not have the digit 2 on it?

Answers

Answer:

1/10

Step-by-step explanation:

20 21 22 23 24 25 26 27 28 29 30

X.   X.   X.  X.  X.  X.  X.  X.  X.  X.  V

1/10

20-29 all have a 2 in it meaning 30 is the only digit that doesnt have a 2 so 1/10 numbers

If one card taken from the bag then the probability that will not have the digit 2 on it is 1/11.

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Numbers from 20 to 30 are written on individual cards.

The total numbers of cards = 11

And numbers on cards = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30

To find the probability of cards that have not the digit 2 on it.

Since, there is only one digit 30, which does not have digit 2,

Therefore, probability = favorable outcome / total outcome

= 1 / 11

The required probability of choosing a card that will not have the digit 2 on it is 1/11.

To know more about Probability on:

https://brainly.com/question/12478394

#SPJ2

What is the first step needed to solve
() -6=
IN
2
5
X-6= -16?
O a
Subtract 16 from both sides
Ob
Add 6 to both sides
Ос
Divide both sides by 5
O d
Multiply both sides by 2

Answers

hello there the answer would be add both sides by 6 hope this helps :)

can anyone help me with this one

Answers

Answer:

180+216= 396cm²

please mark brainliest♡♡

Step-by-step explanation:

First separate the shape into two rectangular

27 - 9= 18

18×10= 180cm²

9×24= 216c m²

Answer:

396 cm²

Step-by-step explanation:

Area = 10 x (27 - 9) + 24 x 9

= 10 x 18 + 24 x 9

= 20 x 9 + 24 x 9

= 44 x 9

= 396 cm²

6) Andy is going kyacking. He has $341 to spend on parking and paddles. Parking costs $30 and paddles cost $45.20 per person. Determine how many people can go kyacking

Answers

Answer:

6 people can go

Step-by-step explanation:

341-30=311

311-45.2x=0

45.2x=311

x=6.88

6.88 people can go but .88 of a person doesnt exist

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