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Sveta_85 [38]
3 years ago
15

By definition, a rectangle is a four-sided figure with four right-angle corners. Which of these expresses this definition as a b

iconditional statement?
A .A quadrilateral is a rectangle iff it has four 90º angles.

B. Once a quadrilateral has four 90º angles it has become a rectangle.

C. Quadrilaterals are rectangles when they have four 90º angles.

D. A rectangle is a quadrilateral with four 90º angles.
Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0
The correct answer is D
siniylev [52]3 years ago
6 0
A. Biconditional statements always take the form of "<hypothesis 1> if and only if (iff) <hypothesis 2>".
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Perform the indicated operation. 4/11÷ 4/9
nordsb [41]

The answer you are looking for is 9/11.

When dividing fractions, you multiply the first value by the inverse of the second value. The inverse is found by simply flipping the numbers of the last fraction. So, the inverse is 9/4. Then, multiply 4/11 and 9/4 to get 36/44. 36/44 simplified (divided by 4/4) is 9/11. Thus making 9/11 the answer.

I hope this helps.

7 0
3 years ago
Read 2 more answers
Please help me ???? i don't remember if i should round up or down
Tpy6a [65]

Here is a saying 5 and above give it a shove (round up) 4 and below go down low (round down). In your case you would leave it the same, because when rounding you would round to the nearest 10th.

Example:

54 would round down to 50 and 55 would be rounded up to 60.

7 0
3 years ago
Blur Corp.'s FCFs are expected to grow at a constant rate of 4.62% per year in the future. The market value of Blur Corp.'s outs
erma4kov [3.2K]

Answer:

some information is missing, so I looked for similar questions and found the attached image:

free cash flow = net income + non-cash expenses - capital expenditures - increase in net working capital

free cash flow for current year = $7,600 - $1,140 - $10 = $6,450 million

the firm's total value = ($6,450 x 1.0462) / (13.86% - 4.62%) = $6,747.99 / 9.2% = $74,977.67 million

the value of common stocks = firm's total value - value of outstanding debt - preferred stocks = $74,977.67 - $31,412 - $17,451 = $26,114.67 million

intrinsic value per share = $26,114.67 / 150 = $174.10 per stock

8 0
3 years ago
The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20 ? C20, degree, C. Lainey tried to swim on
Svetlanka [38]

Answer:

30-3d\leq 20

Step by step explanation:

Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.  

As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.  

We are told that the pool was open on Monday. The high temperature was 30^{\circ}{\text{C} on Monday. So the decrease in temperature from Monday to Thursday will be 30-3d.

We have been given that the swimming pool is open when the high temperature is higher than 20^{\circ}{\text{C}.

As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:

30-3d\leq 20

Therefore, the inequality 30-3d\leq 20 can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.

5 0
4 years ago
Select the correct answer for each statement. (k+2, k+3 , k+4) or (k+10, k+12, k+14) will yield consecutive odd integers. (k+6,
almond37 [142]

Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

4 0
4 years ago
Read 2 more answers
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