The converse, inverse, and contrapositivecan be written asfollow
a) Converse: "If Jose is Jan's cousin, then Ann is Jan's mother."
Inverse: "If Ann is not Jan's mother, then Jose is not Jan's cousin."
Contrapositive: "If Jose is not Jan's cousin, then Ann is not Jan's mother."
b) Converse: "If Liu is Sue's cousin, then Ed is Sue's father."
Inverse: "If Ed is not Sue's father, then Liu is not Sue's cousin."
Contrapositive: "If Liu is not Sue's cousin, then Ed is not Sue's father."
c) Converse: "If Jim is Tom's grandfather, then Al is Tom's cousin."
Inverse: "If Al is not Tom's cousin, then Jim is not Tom's grandfather."
Contrapositive: "If Jim is not Tom's grandfather, then Al is not Tom's cousin."
The converse, inverse, and contrapositive are related to the conditional statement, which is an "if-then" statement.
The converse of a conditional statement is formed by switching the hypothesis and conclusion of the original statement. For example, the converse of "If Ann is Jan’s mother, then Jose is Jan’s cousin" would be "If Jose is Jan’s cousin, then Ann is Jan’s mother."
The inverse of a conditional statement is formed by negating both the hypothesis and conclusion of the original statement. For example, the inverse of "If Ann is Jan’s mother, then Jose is Jan’s cousin" would be "If Ann is not Jan’s mother, then Jose is not Jan’s cousin."
The contrapositive of a conditional statement is formed by switching the hypothesis and conclusion of the inverse statement. It is also formed by negating both the hypothesis and conclusion of the converse statement.
For example, the contrapositive of "If Ann is Jan’s mother, then Jose is Jan’s cousin" would be "If Jose is not Jan’s cousin, then Ann is not Jan’s mother."
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Please help 40 points!!!! What's a Translation of (x+15, y-20). WILL MARK BRAINLIEST FOR RIGHY ANSWER
Answer:
x= y-15
Step-by-step explanation:
hope it helps
Write a rule for the linear function in the table.
A.
f(x) = –x + 1
B.
f(x) = x – 1
C.
f(x) = x
D.
ƒ(x) = –x
Answer:
i keep getting different stuff
Step-by-step explanation:
4 x − 5 + y = 0
x + 6 y = 5
6 x − 3 y =12
3 x + y = 16
6 x − 3 y = 12
3 x + 4 y = − 5
PLEASE HELP. it is in the attachment
Answer:
<JKL=123
Step-by-step explanation:
57+57=114
360-114=246
246/2=123
<JKL=123
Answer:
angle JKL=123 degrees
Step-by-step explanation:
since sides of a rhombus are parallel, angle JKL is supplementary to angle KJM (or same side interior) so angle JKL is 180-57=123 degrees
The length of a swimming pool would be about
А
3 feet
12 inches
12 yards
D
3 miles
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 59^\circ59
∘
59, degrees.
What is the measure of \angle b∠bangle, b?
Answer:
31°
Step-by-step explanation:
because angle a and angle b are complementary they equal 90 degrees in total
a+b=90
since angle a = 59°
59+b=90
so you use subtraction property of equality and subtract 59 from both side of the equal sign
59+b=90
-59 -59
b= 31°
AKAJAXOSPAPXODAOAPA HELP
Answer:
He used 6 bananas at .50 which cost $3.00
12 oranges at .75 which cost $9.00 and
3 papayas at $1.25 which cost $3.75
Step-by-step explanation:
We can set up a system of equations using the information given.
b for banana, r for orange, p for papaya
b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:
b + 2b + p = 21 The number of items.
50b + 75(2b) +125p = 1575 The cost.
I multiplied everything by 100 to eliminate the decimals.
To solve by substituion, rewrite the first equation to get a value for p in terms of b
p = 21 - 3b
Substitute this value in the second equation and solve for b.
50b + 150b + 125(21–3b) = 1575
200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:
–175b = 1575 –2625
–175b = –1050. Divide both sides by –175
b = 6
Substitute in the original equation to find the amount of each fruit:
b + r + p = 21
b = 6 bananas
r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.
6 + 12 + p = 21
p = 21 –18
p = 3 papayas
Simplify the following
√2+√3/3√2-2√3
Answer:
a
Step-by-step explanation:
Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.
Complete question :
Liz's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.
The fitted line has a slope of 15.
What is the best interpretation of this slope?
Answer:
C.)
The model predicts that the score will increase 15 points for each additional hour of study time.
Step-by-step explanation:
The slope of a regression line represents the rate of change :
From the formula :
Rise / Run = (y2 - y1) / (x2 - x1).
The slope is a Coefficient which shows how much the dependent variable changes per unit change in the independent variable.
Hence, for a slope value of +15, which is positive, meaning an increase ; then the score obtained will increase by 15 per additional unit increase in hour of study.
Answer:
B and 96
Step-by-step explanation:
Khan academy
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Hi and have a good day :D
Answer:
33.33%
Step-by-step explanation:
the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%
Answer:
33.33%
Step-by-step explanation:
the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%
A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number
In Exercises 13 and 14, find m_1, 22, and m23.
13.
14.
50°
3
1
3 115°
2 1
2
PLEASE HELP
Answer:
For Question 13 :∡ 1 = 130°; ∡ 2 = 50° ∡ 3 = 130°
For Question 14 :∡ 1 = 65°; ∡ 2 = 115° ∡ 3 = 65°
Step-by-step explanation:
Question 13:
There is multiple ways to solve those questions. However I will stick with the simple way.
1) We know that a straighteangle is = to 180°
2) Acording to the statment on step one we will say that ∡ 1 + the ∡ 50° = 180°
Resoectivelly
180° - 50° = ∡1
180° - 50° = 130°
∡ 1 = 130°
3) ∡ 2 + ∡ 1 = 180°
We already ∡ 1 from step 2, then
∡ 2 = 180° - 130°(∡1)
∡ 2 = 50°
4) ∡ 2 + ∡ 3 = 180°
∡ 3 = 180° - 50° (∡ 2)
∡ 3 = 130°
Question 14 1) We know that a straighteangle is = to 180°
2) Acording to the statment on step one we will say that
angle 1 + the angle 115° = 180°
Resopectivelly
180° - 115° = ∡ 1
180° - 50° = 65°
∡1 = 65°
3) ∡ 2 + ∡ 1 = 180°
We already∡ 1 from step 2, then
∡ 2 = 180° - 65°(∡1)
∡ 2 = 115°
4) ∡ 2 + ∡ 3 = 180°
∡ 3 = 180° - 115° (∡ 2)
Have fun
2 is what percent of 40?
2 is 5% of 40
Hope it is useful
y = 3x + 6
y = (x + 4)2 – 10
What’s the solution set for this
The answer is,
y = -18, x = -8
Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.
25 and 29
The geometric mean is
I need help plz and thank you
Answer:
10
30
18
Step-by-step explanation:
Find the sum.
3/7+-1/7
Answer:
2/7
Step-by-step explanation:
set the equation as 3/7-1/7
by adding a negative to a positive you're subtracting
Answer:
2/7
Step-by-step explanation:
adding a negative is the same thing thing as subtracting a positive
so
3/7 + (-1/7) = 3/7 - 1/7 = 2/7
PLEASE HELP WILL GIVE BRAINLY its down below
Answer:
A.) $383 500 000/year
B.) $826 750 000/year
Step-by-step explanation:
Just add the number of sales and divide to how many year of sales it was and you will get the answer.
SOMEONE ANSWER THESE ASAP
MARKING BRAINLIEST
PLEASE HELPPPPP
Sorry this took a while; calculated a lot of things.
Step-by-step explanation:
A.
Combined:
2.67 times 23.76 = 63.4392
2.67 times - 21 and 5/6 = -58.295
63.4392 - 31.85 -58.295 = -26.7058
If you mean do both separate:
63.4392 - 31.85 = 31.5892
-58.295 - 31.85 = -90.145
B.
Combined:
11 and 3/4 times 23.76 = 279.18
11 and 3/4 times 21 and 5/6 = 256.541666667
279.18 + 256.541666667 + 56 and 3/8 = 592.096666667
If you mean do both separate:
279.18 + 56 and 3/8 = 335.555
256.541666667 + 56 and 3/8 = 312.916666667
Daniel used to collect baseball cards as a kid. He purchased a particular
card for $30 in 2006 and the value of the card increases by 2.5% per year.
How much is his card worth now (in 2021)? Use units and round
appropriately.
Answer:
[tex]y < 85 \div \div 9614 = 88[/tex]
Ты лоххх
−4p+9=−5
Plzzzzzzz help
Answer:
p = 3.5 or p = 7/2
Step-by-step explanation:
-4p+9= -5
or, -4p = - 14
or, p = -14/-4
or, p = 7/2 = 3.5
Answer:
p = 3.5
Step-by-step explanation:
What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.
-4p + 9 = -5
- 9 -9
__________
-4p = -14
__ __
-4 -4
Thus, p = 3.5
can you please help me with this problem
a number h is at most 15
Answer:
h inequality 15
hope it is helpful to you
Bethany uses the equation d = 4.25h to find the distance, d, she travels while walking for h number of hours. What is the constant of proportionality between d and h?
Answer:
4.25
Step-by-step explanation:
The distance Bethany travels is directly proportional to the number of hours she spends working
The formula for direct proportion is :
y = kx
Where k is a constant
in this question, the constant is given by 4.25
y= 2/3 x +7
X= -4
please help me asap!
if hector completed 120 questions last week and 144 this week, how much did he increase by?
Answer:
he increased by 24
Step-by-step explanation:
144-120
plzzzzzzzzzzzzz help
Answer:
[tex]5*\frac{1}{2}[/tex]
Step-by-step explanation:
We have a picture and are being asked to identify the multiplication problem that represents it.
So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :
5 *
2 * 1/5 is scratched out as an answer. As is starts with 2.
As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.
5 * 1/2
Scratching all other answers.
Michael mowed lawns during the summer to earn extra money. He charged each customer $30 to cut the grass plus $9 for each hour of work. One customer paid Michael $93. How long did it take Michael to mow that customer's lawn?
To get from home to his friend Clayton's house, Eric would have to walk 4 miles due north. To get from home to his friend Dale's house, Eric would have to walk 3 miles due east. What is the straight-line distance between Clayton's house and Dale's house?
PLEASE ANSWER!
Answer: 5 miles
Step-by-step explanation:
It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)
6x+8> −16 please help
Answer:
x = 4
Step-by-step explanation:
I hope this helps sorry if its wrong
14 = -2s -8
Solve for s
Answer:
s = -11
Step-by-step explanation:
14 = -2s - 8
22 = -2s
2s = -22
s = -11
14= -2s -8
+8 +8 Add 8 to both sides to isolate -2s
22= -2s
--- ----
-2 -2 Divide -2 by both sides
-11=s This is the answer.