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Cerrena [4.2K]
3 years ago
10

Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?

Mathematics
2 answers:
mafiozo [28]3 years ago
5 0
A parallelogram without four right angles would prove that to be false.
Ivanshal [37]3 years ago
3 0
Yep that'd be false since they are also rectangles
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PLZZZZZ NEED HELP!!!!!!
mylen [45]

Remember the rules of Sohcahtoa (Sine, cosine, tangent). For this problem we take the cosine of 38 because the labeled sides are the adjacent leg and the hypotenuse.

Cos(38)=79/x

Cosine of 38 is about 0.7880

0.7880=79/x

Next we multiply both sides by the denominator

(x) 0.7880=79 (x)

Then divide.

<u>0.7880x</u>= <u>79</u>

0.7880 0.7880

X=100.25

Hope this helped :)

5 0
2 years ago
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1;
lukranit [14]

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

6 0
2 years ago
A tire company produced a batch of 6 comma 700 tires that includes exactly 250 that are defective.
mezya [45]

the probability that if you pick only one, it's defective, is 250/6700

Therefore, the probability that one is not defective is 6450/6700

a. You want all 4 to not be defective: (6450/6700)^4

b. all 100 have to be not defective: (6450/6700)^100

If you type this into a calculator, you will get about 0.022, so a probability of 2 % that all of them are not defective. As this is a very small probability, the outlet should plan with returned tires.

8 0
2 years ago
The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
never [62]

Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

8 0
3 years ago
a man retires at age 50 with $625,000 in savings.after 7 years of retirement, he has spent $259,000 of his savings and is consid
vaieri [72.5K]
Im not entirely sure what you are looking for, but if you are trying to find out how much he has left, you would take 625,000-259,000=366,000

He would have $366,000 left from his retirement.

Hope this helps! :)
3 0
3 years ago
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