Activity 1: Put me in the Box!
Direction: Determine the hypothesis and the conclusion of the given statement
the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5​

Answers

Answer 1

Step-by-step explanation:

To find - Determine the hypothesis and the conclusion of the given

               statement  the hypothesis in Box A and the conclusion in Box B.

             1. Vertical angles are congruent

             2. Bats are mammals that can fly.

             3. You are a good citizen when you obey rules and regulations.

             4. A number is divisible by 10 if its last digit is a 0.

             5. 3x + 6 = 21, because x = 5​

Proof -

Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.

1.)

Given statement - Vertical angles are congruent

Conditional statement - If two angles are vertical , then they are congruent.

Hypothesis - Two angles are vertical

Conclusions - They are congruent.

2.)

Given statement - Bats are mammals that can fly

Conditional statement - If bats are mammals , then they can fly.

Hypothesis - Bats are mammals

Conclusions - They can fly.

3.)

Given statement - You are a good citizen when you obey rules and regulations.

Conditional statement - If you are a good citizen , then you obey rules and regulations.

Hypothesis - You are a good citizen

Conclusions - You obey rules and regulations.

4.)

Given statement - A number is divisible by 10 if its last digit is a 0.

Conditional statement - If a number is divisible by 10, then its last digit is a 0.

Hypothesis - A number is divisible by 10

Conclusions - Its last digit is 0.

5.)

Given statement - 3x + 6 = 21, because x = 5​

Conditional statement - If 3x + 6 = 21, then x = 5

Hypothesis - 3x + 6 = 21

Conclusions - x = 5


Related Questions

3x/8=15......will give brainliest

Answers

Answer: x = 40

Step-by-step explanation:

3x ÷ 8 = 15

Multiply 8 in both sides

3x = 120

Divide both sides by 3

x = 40

A room has a maximum capacity of 396 people. How many people are allowed in the room at anytime?

Answers

396 very simple math

PLEASE ANSWER ASAP !! HAS TO BE DONE AT 11:59 LOL

Answers

It should be neither
parallel I believe, hopefully it’s correct

2000x - 1 = 100 what is x?

Answers

Answer:

x= 0.0505 or 101/2000

Explanation:

Using Inverse Operations Do The Equation

-1+1=0

100+1=101

2000×=101

2000x/2000=x

101/2000

-

Answer: x=101/2000

Someone help me ASAP!!!! I need this ASAP!!!!

Answers

So to solve it the equation is a squared plus b squared = c squared. So you square a and b. Then do the square root of that and should get c. C is always the largest side. C is opposite from a 90 degree angle . Hope this helps you answer your question.

Help me please help please

Answers

Answer:

5

Step-by-step explanation:

50  by divded 5 is 10 90 divided by 5 is 18 and 110 divded  by 5 is 22 hope this helps!

Graph quadrilateral abcd whose vertex matrix is shown below. Then graph the dilation of quadrilateral abcd with a scale factor of 3 on the same coordinated grid. Quadrilateral abcd with vertex matrix -1 5 5 -4
2 5 3 -1

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of an object.

Given the vertex matrix of quadrilateral ABCD as:

[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]

Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).

Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.

Hence, the vertex matrix of quadrilateral A'B'C'D' is:

[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]

Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).

The correct option is figure A

How many packs of batteries can you buy with $39.78 if one pack costs $6.63?

Answers

Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.

Step-by-step explanation:

Answer:

6 packs of batteries

hope it helps

Alyssa opens a savings account with $6. She saves $5 each week. The table Represents her account balance. Decide whether the table represents a linear function or a non linear function. ​

Answers

It is a linear function.

y = 5x + 6

x represents the number of weeks in which she saves $05.00, y being the total amount of money she has saved in those weeks. If the rate is constant is constant (m = 5), it is linear.

What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well, thank you.

Answers

Answer:

Step-by-step explanation:

A = C^2 / 4 x pi

so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).

you would then just divide 100 by 12.57 = 7.96 ( rounded)

hope it helped

Find the area of the figure and type your result in the empty box. 4 cm 4 cm​

Answers

4 cm x 4 cm would make a 16 cm area
just multiply 4 and 4 together to get the answer!

16 cm area

please mark the brainliest!


A bicycle store costs $2600 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $95. How many bicycles
must the store sell each month to break even?

Answers

Answer:

58

Step-by-step explanation:

95 - 55 = 45

2600 / 45 = 57.77778.....

Because you can't sell 0.777778 of a bike you instead sell 58

In a recent year, 22.1% of all registered doctors were female. If there were 51,300 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

Answers

Answer:

232127

Step-by-step explanation:

i divided 51,300 by 22.1 then multiplyed by 100

Which number represents the mode?
8,10,12,14,16,18,20

Answers

Answer:

none

cz there's no no. that repeats itself

A shoe store marks up its merchandise by 38%. What was the selling price of a pair of shoes whose wholesale price is $24.50?

Answers

Answer:

SP = $33.81

Step-by-step explanation:

Given that,

The wholesale price of a shoe = $24.50

A shoe store marks up its merchandise by 38%.

We need to find the selling price of a pair of shoes. It can be given by :

SP = wholesale price + 38% of wholesale price

[tex]SP=24.5+38\%\times 24.5\\\\=24.5+\dfrac{38}{100}\times 24.5\\\\=\$33.81[/tex]

So, the selling price of a pair of shoes is $33.81.

Which pair shows equivalent expressions?
213x+2) - 23x+1
O 243x+2) = 5x+4
o 213x+4)=x+2
0 23x+4) = 2£x+8
2.

Answers

Given:

The pair of expressions in the options.

To find:

The pair that shows equivalent expressions.

Solution:

We have,

[tex]2\left(\dfrac{2}{5}x+2\right)[/tex]

By using distributive property, we get

[tex]2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)[/tex]

[tex]2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4[/tex]

So, option A is incorrect and option B is correct.

We have,

[tex]2\left(\dfrac{2}{5}x+4\right)[/tex]

By using distributive property, we get

[tex]2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)[/tex]

[tex]2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8[/tex]

So, options C and D both are incorrect.

Therefore, the correct option is B.

The correct pair of equivalents expressions is B.

Multiplication of expressions

To solve the question, one must have knowledge about the multiplication of expressions.

When you have an expression being multiplied by a value, you multiply all the terms of the expression by that value, so that:

                                     [tex]a (x + y) = ax + ay[/tex]

Thus, performing this multiplication for all alternatives we have:

a) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]

b) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]

c) [tex]2 (\frac{2}{5}x + 4) = \frac{4}{5}x + 8[/tex]

d) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 8[/tex]

So, the only expression that correctly corresponds to the answer is that of alternative B.

Learn more about expressions in: brainly.com/question/439355

One night, it is 24LaTeX: ^\circ



C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?

PLEASE ANSWER QUICK!!!!!!!!!

Answers

Answer:

[tex]T^\circ = -12^\circ[/tex]

Step-by-step explanation:

Given

Represent the temperature in Tucson with T and that in Minneapolis with M.

From the first statement, we have:

[tex]T^\circ = M^\circ - 24^\circ[/tex]

From the second, we have:

[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers

Required

Find T

To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]

This gives:

[tex]T^\circ = -T^\circ - 24^\circ[/tex]

Collect Like Terms

[tex]T^\circ +T^\circ =- 24^\circ[/tex]

[tex]2T^\circ =- 24^\circ[/tex]

Make T the subject

[tex]T^\circ =- 24^\circ/2[/tex]

[tex]T^\circ = -12^\circ[/tex]

Hence, the temperature in Tucson is [tex]-12^\circ[/tex]

what is the number sentence​

Answers

Answer:

A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.

They can use any of the mathematical operations so addition, subtraction, multiplication and division

Number sentences can be true or false. Example, 5 + 7 = 13

good luck, i hope this helps :)

Write the equation for the line in the form of y = mx + b, that has a slope of 1/2 and crosses the y-axis at the point (0,-1).

Answers

Answer:

y=1/2x-1

Step-by-step explanation:

What’s the area of the triangle & parallelogram

Answers

Answer:

116 cm squared

Step-by-step explanation:

The area of the triangle is 28 cm squared.

The area of the parallelogram is 88 cm squared.

The total area of the composite figure would be 116 cm squared.

Answer:

triangle:28

parallelogram:88

total area:116

Step-by-step explanation:

8×7=56

triangle->56÷2

=

[tex] {28}^{2} [/tex]

parallelogram->11cm×8cm

=

[tex] {88}^{2} [/tex]

total area->28cm²+88cm²=116cm²

(PLEASE ANSWER!!! BRAINILEST! EXPLAIN!) I bought 1 pound of grapes for $3.75. I bought 4 pounds of strawberries for $15.63. Which is least expensive per pound? Explain your reasoning.

Answers

Answer:

1 pound for $3.75

if you divide $15.63 by 4, you would get 3.9075, which is more than $3.75

Step-by-step explanation:

el producto de dos números es 324. si cada uno de esos números se multiplica por 3¿cuál es el nuevo producto?​

Answers

Answer:

672 cre o rectifica porfa

Answer:

108 y 3

Step-by-step explanation:

si multiplicamos 108×3 nos da

=324

y 108 y 3 son divisibles o multiplicados por 3

Write an equation from the line

Answers

Answer:

y=-2/3x+-2

Step-by-step explanation:

y=MX+b

b=-2

m=-2/3

I think of a number. I multiply it by 3 and then subtract 7. The answer is 17.
What was the number I was thinking of?

Answers

Answer:

8

Step-by-step explanation:

you solve this by reversing the excercise.

17 + 7 = 24

24/3 = 8

Answer:

8

Step-by-step explanation:

just reverse everything like, 17 +7 then 24/ 3=8

pls anwer number 9 pwees anwer pwees

Answers

la respuesta es 56

por que es : 6 personas por 5$ para la entrada lo cual es 30 , y por la comida es 6 personas por 6$ lo cual es 36 y el cupon se le resta 10 y eso da a 30$ + 36$-10 y eso da 56

Answer:

To translate the other guy

Step-by-step explanation:

the answer is 56

Because it is: 6 people for $ 5 for the entrance which is 30, and for the food it is 6 people for $ 6 which is 36 and the coupon is subtracted 10 and that gives $ 30 + $ 36 -10 and that makes 56

What is the answer for this
1/2x(4/3-1/6)+3/4??

Answers

It’s one photo but I couldn’t fit it

I need help plz plz :(

Answers

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

HELP ME PLS 30 points if RIGHT!!!! By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%? answer is *NOT*!!!! 20% WILL DO BRAINLIEST!!!!!

Answers

Answer:

40%

Step-by-step explanation:

just take a number, for example, 1, and do the math.

1 - 30% = 0.7.

1 - 50% = 0.5.

0.7 / 0.5 = 1.4.

thus the answer is 40%.

Which is not a reactant needed for producing food in a green plant?
A. Carbon Dioxide
B. Oxygen
C. Water

Answers

Answer:

B. Oxygen

Hope you got your answer! ☺️

The reactant not needed for producing food in a green plant is

Oxygen.

Option B is the correct answer.

What are reactants?

Reactants are the elements in a process of production that helps in the process of production.

We have,

The process of producing food in a green plant are:

Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.

This process is called photosynthesis.

Oxygen is the waste product released during this process.

Thus,

Oxygen is not a reactant needed for producing food in a green plant.

Learn more about reactants in plants here:

https://brainly.com/question/16419464

#SPJ6

need help on question 13!! urgent!!

Answers

Answer:

∠MNQ = 31

Step-by-step explanation:

Set ∠MNQ and ∠NQP equal to each other.

∠MNQ = ∠NQP

5c + 6 = 7c - 4

10 = 2c

c = 5

Then substitute back into ∠MNQ.

∠MNQ = 5c + 6

∠MNQ = 5(5) + 6

∠MNQ = 25 + 6

∠MNQ = 31

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