7. In the diagram, line fis parallel to line g, and line e intersects lineſ and g.

Persuade Mr.Zorn whether the numbers 12, 16, and 20 make a right triangle or not. make sure to state reasons for and against you

TEA [102]

Answer:

They don’t 12+16+20= 48

12 x 16 x 20= 3840

Step-by-step explanation:

3 0

3 years ago

Joel has been offered sales positions at two different companies. Alphaco offers an annual salary of $65,000. OmegaCo offers an

Papessa [141]

The correct answer is B

5 0

2 years ago

Four different digits from 1 to 9 are required to open a safe.

masha68 [24]

Answer: 5942

Step-by-step explanation:

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7 eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1 --> 2981 or 2891 eliminate by clue 2

9 __ __ 8 --> 9128 or 9218 eliminate by clue 6

9 __ __ 2 --> 9182 or 9812 eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2 --> 5492 or 5942 eliminate 5492 by clue 2

9 __ __ 2 --> 9452 or 9542 eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1 --> 4781 or 4871 eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 < 5, 9, 4

5 0

3 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

I give brainliest please help

Furkat [3]

It’s the 31 hope this helps you

3 0

3 years ago