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Nataly [62]
3 years ago
14

What are the converse, inverse and contrapositive of the statement? Which statements are true? Statement: If the figure is squar

e, then the figure is quadrilateral
Mathematics
1 answer:
notsponge [240]3 years ago
5 0

Conditional: If p, then q

Converse: If q, then p

Inverse: If not p, then not q.

Contrapositive: If not q, then not p.

Blow, p is bold; <em>q is italic</em>; <u>not p is bold underline</u>; <u><em>not q is italic underline</em></u>.

<u><em>The truth value of each statement is bold, italic underline.</em></u>

Conditional: If a figure is a square, then <em>the figure is a quadrilateral</em>.    <u><em>True</em></u>

Converse: If <em>a figure is quadrilateral</em>, then the figure is a square.   <u><em>False</em></u>

Inverse: If <u>a figure is not a square</u>, then <u><em>the figure is not a quadrilateral</em></u>.   <u><em>False</em></u>

Contrapositive: If <em>a figure is not a quadrilateral</em>, then the figure is not a square.   <u><em>True</em></u>

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Round 6-6/7 to the nearest whole number​
almond37 [142]

Answer:

5

Step-by-step explanation:

6-6/7

using pemdas it's:

6/7= 0.857

6-0.857=5.143

5.143 to the nearest whole number is 5

6 0
3 years ago
Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have
sergey [27]

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: <u><em>dimes, nickels, pennies, and quarters.</em></u>

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

<em>1 nickel = $0.05</em>

<em>1 quarter = $0.25</em>

<em />

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

To learn more, visit the link below:

brainly.com/question/13312288

8 0
3 years ago
the length(1) of the rectangle is x2 + 2x-3 and the width(w) is 5x + 4,what is the perimeter of the rectangle​?
astra-53 [7]

Answer:

4×_3 I think this is your answer

6 0
3 years ago
How do you do 36 divide by 3 times 4
Lemur [1.5K]

Answer:

48

Step-by-step explanation:

36 divide by 3 times 4

= 36 ÷ 3 x 4   (By PEDMAS, it doesnt matter which operation you do first, but we'll choose to do division first)

= (36 ÷ 3) x 4

= 12 x 4

= 48

5 0
4 years ago
Read 2 more answers
A 6,000​-seat theater has tickets for sale at ​$28 and ​$40. How many tickets should be sold at each price for a sellout perform
RUDIKE [14]

Answer:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Step-by-step explanation:

So, we need to write two equations in order to solve this:

We will think of 28 dollar tickets as x, 40 dollar tickets as y.

Now lets make those equations:

x + y = 6,000

             and

28x+40y = 193,200

Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:

I will do this by taking x + y = 6,000, and subtracting x to the other side, to get y alone:

y = 6,000 - x

Now lets plug in y to our second equation:

28x + 40(6,000-x) = 193,2000

=

28x+240,000-40x = 193,200

Now combining like terms and solving for x we get:

-12x + 240,000 = 193,200

=

-12x = -46,800

=

x=3,900

Now that we know x, lets solve for y by plugging into our first equation!

3,900 + y = 6,000

=

y = 2,100

So now we know that our answer is:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Hope this helps! :3

7 0
2 years ago
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