Learning Task 3
A. Write each sentence as:
(a) Conditional Statement
(c) Inverse Statement
(b) Converse Statement
(d) Contrapositive Statement
1. Vegetables are good for your health.
2. 3x + 8 = 14, x = 2
3. A right triangle has a 90° angle.
4. An eagle is a bird.
5. A whale is a mammal.
6. Two circle with equal diameters are congruent.
7. An angle that measures between 90 and 180 degrees is obtuse
angle.
8. Two planes with no common point are parallel.
9. Carrot is rich in Vitamin A.
10. All reptiles have scales.
B. Determine which statements in A both the conditional and converse
statements are true. Write it in biconditional statement.
IF WHO ANSWER THIS CORRECTLY I WILL TRANSFER MY 500+POINTS TO HER/HIM AND BRAINLIEST ANSWER don't try to answer rude i will bann it
Answers
Answer:
A)
1.
Statement is - Vegetables are good for your health.
Let P - There are Vegetables , Q - they are good for health
Conditional statement is -If there are Vegetables , then they are good for the health.
Inverse Statement is - If there are no Vegetables, then they are not good for health.
Converse statement - If they are good for health , then they are vegetables.
Contra-positive statement - If they are not good for health , then they are not vegetables.
2.
Statement is - 3x + 8 = 14, x = 2
Let P - 3x + 8 = 14 , Q - x = 2
Conditional statement is -If 3x + 8 = 14 , then x = 2.
Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.
Converse statement - If x = 2 , then 3x + 8 = 14
Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14
3.
Statement is - A right triangle has a 90° angle.
Let P - Triangle has a 90° angle , Q - It is right triangle .
Conditional statement is -If Triangle has a 90° angle , then It is right triangle.
Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.
Converse statement - If It is right triangle , then Triangle has a 90° angle.
Contra-positive statement - If It is not a right triangle , then Triangle has not a 90° angle.
4.
Statement is - An eagle is a bird .
Let P - It is an eagle , Q - It is a bird
Conditional Statement - If it is an eagle , then it is a bird.
Inverse statement - If it is not eagle , then it is not bird.
Converse statement - If it is a bird , then it is an eagle.
Contra-positive statement - If it is not a bird , then it is not an eagle.
5.
Statement is - A whale is a mammal
Let P - It is a whale , Q - It is a mammal
Conditional Statement - If it is a whale , then it is a mammal.
Inverse statement - If it is not whale , then it is not mammal.
Converse statement - If it is a mammal , then it is a whale.
Contra-positive statement - If it is not a mammal , then it is not a whale.
6.
Statement is - Two circle with equal diameters are congruent
Let P - Two circles have equal diameters , Q - They are congruent
Conditional Statement - If Two circles have equal diameters , then they are congruent.
Inverse statement - If two circles have not equal diameters , then they are not congruent.
Converse statement - If two circles are congruent , then they have equal diameters.
Contra-positive statement - If two circles are not congruent , then they have not equal diameters.
7.
Statement is - An angle that measures between 90 and 180 degrees is obtuse angle
Let P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.
Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.
Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.
Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.
Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.
8.
Statement is - Two planes with no common point are parallel.
Let P - Two planes have no common point , Q - they are parallel.
Conditional Statement - If Two planes have no common point , then they are parallel.
Inverse statement - If two planes have common point , then they are not parallel.
Converse statement - If two planes are parallel, then they have no common point.
Contra-positive statement - If two planes are not parallel, then they have common point.
9.
Statement is - Carrot is rich in Vitamin A.
Let P - There are carrots , Q - they are rich in Vitamin A
Conditional statement is -If There are carrots , then they are rich in Vitamin A.
Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.
Converse statement - If they are rich in Vitamin A , then they are carrots
Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.
10.
Statement is - All reptiles have scales.
Let P - All are reptiles , Q - they all have scales.
Conditional statement - If all are reptiles , then they all have scales.
Inverse statement - If all are not reptiles , they have no scales.
Converse statement - If all have scales , then all are reptiles.
Contra-positive statement - If all have no scales , then they all are not reptiles.
B)
1. Both the conditional and converse statements are true.
Bi-conditional statement - There are vegetables if and only if they are good in health.
3. Both the conditional and converse statements are true.
Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.
6. Both the conditional and converse statements are true.
Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.
7. Both the conditional and converse statements are true.
Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an obtuse angle.
8. Both the conditional and converse statements are true.
Bi-conditional statement - Two planes has no common point if and only if they are parallel.
Related Questions
HELP
What is the Constant of proportionality? I don't know if its 2 or 2.5 because 3 and 7 meet but so do 1 and 2
Answers
Triangle PQR is isosceles with PQ = PR. A semi-circle
with diameter [PR] is drawn which cuts [QR] at X.
Prove that X is the midpoint of [QR).
Answers
help pls I have more
Answers
Answer:
Step-by-step explanation:
Answer:
[tex] \frac{5}{10} \times \frac{2}{1} = \frac{10}{10} = 1[/tex]
[tex] \frac{1}{10} \times \frac{8}{3} = \frac{8}{30} = \frac{4}{15} [/tex]
[tex] \frac{2}{6} \times \frac{12}{6} = \frac{24}{36} = \frac{2}{3} [/tex]
[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]
[tex] \frac{1}{5} \times \frac{1}{1} = \frac{1}{5} [/tex]
I’f the vertical length is 10 what is the horizontal length
Answers
Answer:
Missing context,
Do you have a ratio I could work with?
HELP QUICK!! WILL GIVE BRAINILIST
Find the value of x in the triangle shown below.
Answers
Answer:
58
Step-by-step explanation:
Since two of the sides are both 6.2, we know that this is an isosceles triangle. Thus, the two angles opposite of x are both equal (61 degrees).
The angles inside of a triangle always add up to 180, so now we have
180 = 61 + 61 + x
Solving for x, we get x = 180 - (61 + 61) = 180 - 122 = 58
If a =
-5i and b = -4x, then find the value of a+b in fully simplified form.
Answers
If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that,a =-5i and b = -4x
We have to find the value of a+b in a fully simplified form.
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
=a+b
= -5i-4x
Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ2
THIS IS DUE REALLY SOON CAN SOMEONE HELP PLEASE???
find the # of tiles in stages 0-4, then write an expression that represents the pattern.
Answers
Answer:
# = number of tiles + 2
Step-by-step explanation:
So It would be 3,5,7 but your would add 2 to each number of tiles increased.
There were 0 tiles in step 0
Answer:
It can be observed that there is a pattern
Step 1
2 + 1 = 2 + 1²Step 2
2 + 4 = 2 + 2²Step 3
2 + 9 = 2 + 3²Step 4
2 + 4²Step n
2 + n²SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answers
Answer:
U equal them
Step-by-step explanation:
An divide
Pleaseeeee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
AC = 5x - 24
AO = 3
AC and BD bisect each other at point O. This means AC ≅ CO.
So, 2(AO) = AC.
2(3) = 5x - 24
Multiply.
6 = 5x - 24
Combine the constants.
30 = 5x
Divide by 5.
x = 6
can someone please help its due soon.ill give brainliest!
Answers
Step-by-step explanation:
LINE K is linear equation
y = mx + b
m = delta y/ delta x
= 6/3
= 2
b = y-intercept (at x = 0, y = 0)
y = 2x
Jerry buys t-shirts for $6 each and marks up the price by 45%.
How much profit does Jerry make from each t-shirt sold?
help pleaseee
Answers
Answer:
$2.70
Step-by-step explanation:
to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70
If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7
You can find this answer by multiplying the percentage by the number (.45 x 6)
Que numero es mayor que -5/4
Answers
Answer:
4 is greater than -5
Step-by-step explanation:
positive are greater than negative
Will mark brainliest !!!!
Answers
Answer:
7/8=14/16 5/24=38 7/12=21/36
5.) 4/7=8/14 6.) 16/4=4/1 7.) 8/10=40/50
8.) 16/20=8/10 9.) 32/8=8/2 10.) 7/9=21/27
1.) 8/5=4/2 1/2 2.) 3/7=4/28/3
3.) 4/3=3/9/4 4.) 2/3=4/6 5.) 4/8=5/2/5
6.) 6/3=4/2 7.) 15/8/3=5/8 8.) 9/2/3=6/4
BRO I"M BEGGING PLEASE GIVE ME BRAINLIEST AFTER THAT THAT TOOK FOREVER AND GOODLUCK IN THE FUTURE ALSO ADD ME AS A FRIEND SO I CAN "TUTOR YOU" IF YOU NEED IT
How many solutions does the system have? 13x + 4y = 33 26y + 8x =66
Answers
Answer:
55
Step-by-step explanation:
Explanation: the lines intersect and if they intersect it only has one solution
Hope this helped
anyone know how to do this???
Answers
Answer:
My guess would be B
Step-by-step explanation:
I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses
answer on Brainly.
katie baked a cake. Her brother ate 1/4 of the cake, her father ate 1/4 of the cake, and her mother ate 1/4 of the cake. How much of the cake is left?
A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 3/4
Answers
Answer:1/4
Step-by-step explanation:
1/4x3=3/4
1-3/4=1/4
Answer:
B. 1/4
Step-by-step explanation:
The cake is 1 whole or 4/4 total. If 3 people ate 1/4 then 3/4 of the cake was eaten. This leaves only 1/4 of cake left.
Hope it helps!
Function or not a function?
Answers
yo no se ok yo no se solamente qiero puntos
evaluate 2-(-4) +(-and) where Y = 7.
Answers
Answer:
2-4=4+7=11 so that is the answer begginer
help me pls will mark my day no explanation needed
Answers
Answer:
2
Step-by-step explanation:
It's going 2 up and 1 across.
Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours
Answers
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
HELP ME WITH THIS ASAP PLEASE I WILL PUT FIRST ANSWER AS BRAINLIEST!!!
Answers
Answer:
A
Step-by-step explanation:
You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.
Hope this helps!
Generally, the more someone exercises the less they will weigh (while also maintaining a proper diet). John recorded the number of calories he burned and his weight each week. Using a regression model, how much would you expect John to weigh at the end of week 8? (Round your answer to the nearest tenth.)
Need help on the problem and confused on whether or not to use two regression functions.
Answers
Answer:
on week 8 he will weight 208 lbs
Step-by-step explanation:
i dont know I guessed and got it right
John weigh 217.7 lbs at the end of 8 week.
What is Regression line?An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given:
Using the regression model
In II nd week the calories is 2950 and weight 250.
and, Vth week the calories is 7400 and weight 216.
let Exercise be x and the weight is y then
= (216 - 250)/ (7400- 2950)
= -9/ 4450
So, at the start of week john weight
y= -9/ 4500 x + 230
Now, At the end of 8 week John weighs
= -9/4500 (6100) + 230
= 217.7
Learn more about Regression line here:
https://brainly.com/question/7656407
#SPJ2
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21
Answers
(Multiplying by 0.5 is same as divide by 2)
10x-25x+18 - 25x -10y + 3
The answer is C
Answer:
D. 35x-35y+21
Step-by-step explanation:
3( 2p - 5) - 6p
need help please
Answers
Answer:
-15
Step-by-step explanation:
We have the expression 3(2p - 5) - 6p and are asked to simplify.
Let's distribute, which is to multiply a number that is outside of a parenthesis bracket by the numbers inside the parenthesis.
3(2p - 5) - 6p
(3(2p) - 3(5)) - 6p
6p - 15 - 6p
Since you can only do changes to like terms and 15 and 6p are two different terms, we do 6p - 6p.
6p - 6p
0
Leaving us with -15.
Answer:
-15
Step-by-step explanation:
Simplify each term.
6p - 15 - 6p
Combine the opposite terms:
Subtract 6p from 6p
0 - 15
Subtract 0 from 15
-15
good luck, hope this helps :)
If a number is a multiple of 2 and a multiple of 5, then it is also a multiple of ___. (fill in the blank)
Answers
10 is the answer for the blank
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answers
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
Learn more about the work and time here,
https://brainly.com/question/8536605
Solve the system by substitution
y=-6x
-2x-7y=40
Answers
Answer:
x=1, y=-6. (1, -6).
Step-by-step explanation:
y=-6x
-2x-7y=40
------------------
-2x-7(-6x)=40
-2x+42x=40
40x=40
x=40/40
x=1
y=-6(1)=-6
please help me
Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°
B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with angles measuring 75°, 60°, and 45°
Answers
Answer:
your answer is up there
Step-by-step explanation:
Sorry for not being some help i really am Red Riot out
Can someone help me with this problem . I have to show my work.
Answers
Answer:
Step-by-step explanation:
perimeter=2(100+16)
=2(116)
=232 cm
area=100(16)
=1600 cm²
Please help me solve this
(8+3a)(8−3a)=
Answers
Answer:
-9a^2+64
Step-by-step explanation: