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Assoli18 [71]
3 years ago
15

Is ABCD a parallelogram? Explain how you know.

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0
They are both parallelograms because the sides are parallel to one another
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Ruth has 6 chores to do. If each chore does not depend on the others, in how many different orders could she do the chores?
Mice21 [21]
First chore, 6 to choose from.
Second chore, 5 to choose from.
Third chore, 4 to choose from.
Fourth chore, 3 to choose from.
Fifth chore, 2 to choose from.
Sixth chore, 1 to "choose" from.
The total number of orders possible is the product
6*5*4*3*2*1=6!=720
3 0
3 years ago
Read 2 more answers
Solve the polynomial inequality x^2-3x-10>0
djverab [1.8K]

As x² - 3x - 10 factors, we can use the zero product property and pull it apart into factors. It factors because 2 and 5 have a difference of 3 and product of 10

x² - 3x - 10 > 0

(x - 5)(x + 2) > 0

To find where the inequality is true, we use a sign test. When x-5 > 0, it means x >5, and 5 is one of our sign test values. Similarly, -2 is the other. We can then make three intervals - A (less than -2), B (between -2 and 5), and C (more than 5).

<--------------- -2 ------------------ 5 -------------------------->

A B C

To do a sign test, we choose values to see what happens. First, test x = -5.

(-5 - 5)(-5 + 2) = (-10)(-3) = 30. Because 30 > 0, the inequality is true for x < -2. So interval A is true.

Next, test x = 0.

(0 - 5) (0 + 2) = (-5)(2) = -10. Because -10 < 0 is false, the inequality is false for x > -2 and x < 5. So interval B is false.

Last, test x = 10

(10 - 5) (10 + 2) = (5) (8) = 40. Because 40 > 0 is true, the inequality is true for x > 5. So interval C is true.

We put the true intervals together.

(-∞, -2) ∪ (5, ∞) is where this inequality is true,

{x : x < -2 or x > 5} is also how it's said in set notation.

7 0
2 years ago
Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.
Grace [21]

Answer: C. 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mr. Jones grades 12 exams
aniked [119]

Answer:

8 hours

Step-by-step explanation:

12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams

Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know

5 0
2 years ago
Read 2 more answers
Cuantos diez hay en el numero 568?​
DiKsa [7]

Answer:

Hay 56 diez en el numero 568.

Step-by-step explanation:

Uses el primer dos numeros en el numero encontrar cuantos decena hay.

4 0
3 years ago
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