Write the converse, inverse and contrapositive of each conditional statement, and tell if the resulting statement is True or false

2. If mA = 100, then is not a right angle.
Converse:
Inverse:
Contrapositive:​

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

It's good to recall what these terms mean:

Conditional statement: if p then q

Converse: if q then p

Inverse: if not p then not q

Contrapositive: if not q then not p

Conditional statement:

If m<A = 100, then <A is not a right angle.

p = m<A = 100

q = <A is not a right angle

Converse:

If angle A is not a right angle, then m<A = 100.

False. An angle that is not a right angle can have many measures other than 100 degrees.

Inverse:

If the measure of <A is not 100 degrees, then <A is a right angle.

False. If an angle has a measure of other that 100 degrees, it can have many measures in addition to 90 degrees, so it is not necessarily a right angle.

Contrapositive:

If angle A is a right angle, then m<A is not 100 degrees.

True. Only a right angle has a measure of 90 degrees, so an angle with measure 100 deg cannot be a right angle.


Related Questions

8 squared + b squared= 17 squared find b

Answers

Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

8th grade math. Solve and check. 2x + 3x + 5 = 4(x - 2)

Answers

2x + 3x + 5 = 4(x-2)

5x + 5 = 4x - 8

5x-4x = -8 -5

x = -13

Answer:

x=−13

Step-by-step explanation:

Combine the like terms:

2+3+5=4(−2)5+5=4(−2)

Distribute:

5+5=4(−2)

5+5=4−8

Subtract 5 from both sides

5+5=4-85+5−5=4−8−5

Then simplify:

x=−13

Answer:

x=−13

I need help with this algebra problem​

Answers

Answer:

C

Step-by-step explanation:

Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue. Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?

Answers

Answer:

Total number of chips Caleb have = 8

Total number of chips Suzanne have = 30

Step-by-step explanation:

In Caleb case -

Three out of every four chips is blue

⇒ If Caleb has total chips = 4

Then Blue chips = 3

⇒White chips = 4 - 3 = 1

Now,

If Caleb have 6 blue chips

⇒3 Blue chips = 4 total chips

  1 Blue chip = [tex]\frac{4}{3}[/tex] total chips

⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips

∴ we get

Number of chips become = 8

In Suzanne case -

One out of every five chips are blue.

⇒ If Suzanne has total chips = 5

Then Blue chips = 1

⇒White chips = 5 - 1 = 4

Now,

If Suzanne have 6 blue chips

⇒1 Blue chips = 5 total chips

⇒6 blue chips = 5×6 = 30 total chips

∴ we get

Number of chips become = 30

Corresponding angles and interior angles can never have equal angle

True or false

Plss help mee

Answers

Answer:

true

Step-by-step explanation:

Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Answers

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)

Answers

Answer:

I think it's correct but tell me if I'm wrong

Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?

Answers

Answer:

One box of granola bars costs $3.35.

Step-by-step explanation:

36.85/11=3.35

PLZ HELLLP ITS DUEEEE IN 10 MINUTESSSSS!!!

Answers

Answer:

35, 56, x=4

Step-by-step explanation:

PLS HELP THE QUESTION IS BELOW PLS PLS PLS

Answers

Answer:

its b trust me ok dont worry I have you in my hands

Answer: THE ANSWER IS B.

Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that

Answers

Answer:

128mm

Step-by-step explanation:

Given

[tex]Pipe = 88mm[/tex]

[tex]Ope\ nnings = 40mm\ larger[/tex]

Required

Determine the length of the openings of the pipe

To do this, we simply add 40mm to the length of the pipe.

This gives:

[tex]Ope\ nings = 88mm + 40mm[/tex]

[tex]Ope\ nings = 128mm[/tex]

Hence, the opening must be 128mm

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.


f(x) = 5 + x; $111.05

f(x) = 1.05x; $115.50

f(x) = x – 5; $108.95

f(x) = 0.05x; $5.50

Answers

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50  

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3:    Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

Find the x-intercept and and y-intercept algebraically

y = log2 (x + 1) - 3

need work

Answers

Answer:

x intercept is 7 y intercept is -3

Step-by-step explanation:

Write equation out and have y=0

[tex] log_{2}(x - 1) - 3 = 0[/tex]

Add 3 to both sides

[tex] log_{2}(x - 1) = 3[/tex]

Using the log to exponet rule

[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]

Where b and x are real numbers and b cannot equal 1.

Reorder the equation as a exponet

[tex] log_{2}((x + 1) = 3[/tex]

[tex] {2}^{3} = x + 1[/tex]

Simplify

[tex]8 = x + 1[/tex]

Subtract 1 from both sides

[tex]x = 7[/tex]

So the x intercept is 7

To find y intercept plug 0 in as x

[tex] log_{2}(0 + 1) - 3 = y[/tex]

[tex] log_{2}(1) - 3 = y[/tex]

Add 3 to both sides

[tex] log_{2}(1) = y + 3[/tex]

Rewrite in exponet form

[tex] {2}^{y + 3} = 1[/tex]

Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation

[tex]y + 3 = 0[/tex]

Subtract 3 from both sides and we get

[tex]y = - 3[/tex]

So the x intercept is 7 and the y intercept is -3

Ribbon costs $1.25 per meter. What would be the cost of 250 centimeters rounded to the nearest cent? HINT:
centimeters to meters before calculating the price

Answers

Answer:

The answer should be $3.125 or $3.13 rounded.

Step-by-step explanation:

First I divided 1.25 by 100 because 1 meter equals 100 centimeters.

1.25 ÷ 100 = 0.0125

Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.

0.0125 * 250 = 3.125

Since it says to round to the nearest cent, the answer should be 3.13

Hope this helps! :)

Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .

Answers

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

What fraction do you multiply 3 by to get 1

Answers

the answer is 1/3

1/3 + 1/3 + 1/3 equals 1

which is the same as 1/3 times 3

There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $​

Answers

Answer:

y+x=31, 150x+225y=5100.

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)Step-by-step explanation:

Answer:

Parent: $25

Child: $6

Step-by-step Explanation:

y+x=31, 150x+225y=5100

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)

I hope this helped :D

Rewrite as a log: y=7^x

Answers

Maybe would help mathwath

Answer:

log7(y)=x

Step-by-step explanation:

¿Sera cierto que existe una fraccion con numerador 20 equivalente a la fraccion 100/55?Justifica tu respuesta​

Answers

Answer:

si porq si porq si si dices si es si

Direction: Read and analyze each question below, the write the letter of the correct answer.

1. Which of the following is a conditional statement?
a. If Andrew cleans the room then Andrea cleans the kitchen.

b. Andrew and Andrea clean the kitchen.

c. None of the above

2. Which of the following is a converse statement of the sentence "If you eat vegetables, then you are healthy"?
a. If you are healthy, then you eat vegetables.

b. If you do not eat vegetables, then you are not healthy.

c. None of the above

3. Which of the following is the contrapositive statement of the sentence "If you eat vegetables, then you are healthy"?
a. If you are healthy, then you eat vegetables.

b. If you do not eat vegetables, then you are not healthy.

c. None of the above

NEED ASAP​

Answers

Answer:

1 is A

2 is A

3 is none of the above

Step-by-step explanation:

A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school

Answers

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

please answer correctly and quickly

Answers

Answer:

#6:10

Step-by-step explanation:

Answer:

#9 is x=14

#7 is C 138

#6 is x=10

#5 is p=40

Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division

Answers

Saan po yung divisor?

Kailangan ko po

A typical person takes about 24000 breaths each day. Write an equation you can use to find the number of breaths a typical person takes each minute.​

Answers

Step-by-step explanation:

Welp if a typical person takes 24000 breaths each day that's means

24000÷24=1000

so that's means 1000 per hour

if a hour take 60 Min that's mean

1000÷60=16.6666667 don't tell me I'm not sure about this answer and not really good at this :p

Determine the length of PN and the value of y

Answers

Answer:

Side PN=26

y=16

Step-by-step explanation:

I put a photo of my work. It’s easier to do that then to try and put it all in words

- Ashanti earns $50 an hour. How much does she earn in 6 hours?

Answers

Solution:-

Given,

Ashanti earns=$50 an hour

Ashanti earns in 6 hours=?

Now,

Ashanti earns in 60 hours=$50×6

=$300

Therefore,Ashanti earns $300 in 6 hours.

Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)

Answers

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

Answer:

hope it helped

have a good day

please help me find the slope and y intercept! i’m the worst at math, i’d really appreciate it <333 (click on photo)

Answers

5) the slope is -2, y-intercept is 1. 6) slope is 1, y-intercept is 1. 7) slope is -5, y-intercept is 8. That’s all I could find :( sorry. Hope that helped. I’m also not that good at math

Answer:

3.)   y-int = 0

4.)   y-int = -1

5.)   slope = 2

      y-int = 4

6.)   slope = -1

      y-int = -6

7.)   slope = 5

      y-int = 8

8.)   slope = 7

      y-int = 1/2

Step-by-step explanation:

basically, you want to get each of your functions in terms of (y = mx + b)

for each of these:

m will be your slope

b will be your y-intercept

someone help me pls 10 points

Answers

Answer:

x=-5

Step-by-step explanation:

So I've noticed a lot of people have been struggling on equations like these : 8 + ( 2 * 7 )
and I'll be explaining an easy way on how to solve it.

So basically 2 * 7 = 14, now we just have to add 8 + 14 which equals 22.
The parenthesis is the equation you have to solve to get your answer and then you just have to either add, subtract, multiply or divide to find your answer.

I hope this helped!

Answers

Answer:

Yes, it did. Thank you very much.

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