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elena-14-01-66 [18.8K]
3 years ago
5

Given the conditional statement, match the following.

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Hypothesis (p): A polygon is a square

Conclusion: (q): It is a rectangle

Inverse: q → p         <em>If a polygon is a rectangle, then it is a square</em>

Converse: ~p → ~q        <em>If a polygon is not a square, then it is not a rectangle.</em>

Contrapositive: ~q → ~p    <em>If a polygon is not a rectangle, then it is not a square</em>

Your answers are correct

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(4x+___)+(2x+3)=6x+5<br> Find the missing term.
SOVA2 [1]

Answer:

(4x+2)+(2x+3)=6x+5

Step-by-step explanation:

(4x+___)+(2x+3)=6x+5

4x+2x=6x

5-3=?

5-3=2

2

7 0
2 years ago
Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9
a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is x^2+4x-21=0. We need to find the solution of this equation.

If the equation is in the form of ax^2+bx+c=0, then its solutions are given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7

So, the solutions of the quadratic equation are 3 and -7.      

6 0
3 years ago
Which list of decimals is not in descending order?
Archy [21]
0.0166 because it’s bigger than all other numbers
3 0
3 years ago
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Jacob's school is selling tickets to a baseball game. On the first day of ticket
kondor19780726 [428]

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8 0
3 years ago
What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth
ipn [44]

Answer:

7

Step-by-step explanation:

First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3

Which gives you 2/3 (9x - 6)

Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3

then you divide 6/3 with 2

Getting 2 (3x - 2)

The use the distributive law

2 x 3x - 2 x 2

simplify the equation

6x - 4

expand 4 (x +2) + 2:   4x + 10

which then equals 6x-4=4x+10

add 4 to both sides

6x-4+4=4x+10+4

simplify

6x=4x+14

subtract 4x from both sides

simplify again

2x=14

divide both sides by 2

2x/2 = 14/2

simplify one last time and get the answer

x=7

8 0
2 years ago
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