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xxTIMURxx [149]
3 years ago
11

A swimming pool is drained at the end of each summer. Fifteen gallons of water are removed per minute. How much does the amount

of water in the pool change in one hour? (There are 60 minutes in one hour.)
Mathematics
1 answer:
BartSMP [9]3 years ago
7 0
Multiplying -15 by 60 yields -900, so the amount of water in the pool changes by -900 gallons in one hour.
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X² + 5x - 24, factor
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{x}^{2}  - 8x + 3x - 24 \\  - x(x - 8)3(x - 8) \\ (3 - x)(x - 8)

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A single, standard number cube is tossed. What is the probability of getting a number other than 6?
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1.C

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5 0
3 years ago
What is the missing reason in Step 7? Triangle angle sum theorem quadrilateral angle sum theorem definition of complementary con
Daniel [21]

Answer:

Hello your question is incomplete attached below is the complete question

Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.

answer: consecutive angles of any parallelogram are supplementary

Step-by-step explanation:

The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY  = 180°

<u>Reason </u>:  ZY || WX also  XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180°  ( sum of consecutive angles )

4 0
3 years ago
Read 2 more answers
A captain and a co-captain are randomly selected from the 12 members of a fencing team. Determine the probability that Lauren is
Lilit [14]

I'm not 100% sure of this  I think its as follows:-

Prob(Lauren then Isabel picked)  = 1/12 * 1/11 = 1/132 



4 0
3 years ago
Read 2 more answers
a man has a garden measuring 84 metre by 56 he want to divide them equally into the minimum number of square plot what is the le
maw [93]

Answer:

6

Step-by-step explanation:

84 = 3 x 28

56 = 2 x 28

Minimum number of square plot, each square is 28 x 28

the number is 3 x 2 = 6

8 0
2 years ago
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