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3 years ago

the diagonals of parallelogram ABCD intersect at point O. If segment AC is a diagonal and AO = 5, then what is AC

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

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6x + 14 = 20x – 14 <br> need the answer

xenn [34]

Answer:

x = 2

Step-by-step explanation:

$6x + 14 = 20x - 14$

subtract 20x from both sides

$-14x + 14 = -14$

divide both sides by -14

$x - 1 = 1$

add 1 to both sides

$x = 2$

5 0

3 years ago

You randomly select 2 cards from a standard deck of 52 playing cards. What is the probability that both cards are jacks?

N76 [4]

You have 4 in 52 (4/52) chance that the first card is a jack and a 3 in 51 (3/51) chance the second card is a jack

Multiply the two
4/52 x 3/51
1/13 x 1/17
1/221

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3 years ago

1. The equation of the locus of a point which is always equidistant from the points (a + b, a - b) and (a - b, a + b) is a) x -

valina [46]

Answer:

c). y + x = 0

Step-by-step explanation:

The locus is a line perpendicular to the line connecting the 2 points and passing through the centre of the line.

The mid-point of the line connecting the given points is:

(a + b + a - b)/2 , (a - b + a + b) / 2

= (a, a)

It's slope = (a + b)- (a - b) / (a - b)- (a + b)

= 2b/ -2b

= -1

So the slope of the line we want is -1/(-1) = 1.

Using the point-slope form of a line:

y - y1 = m(x - x1)

y - a = 1(x - a)

y - a = x - a

x + y = 0

8 0

2 years ago

An electronic product contains 53 integrated circuits. The probability that any integrated circuit is defective is 0.02, and the

Varvara68 [4.7K]

Answer: Hello!

Here you have 53 integrated circuits, each with a probability of 0.02 of being defective.

If only one of them is defective, then the electronic product doesnt work.

Then we need the calculate the probability in wich all the 53 circuits arent defective.

the probability for each one to not be defective is 1 - 0.02 = 0.98

And if i want to see the probability for all of them to work fine, then i need to do the product of all the probabilities, this is multiply 0.98 53 times, or:

$0.98^{53} = 0.34275$

rounding to the four decimal place, we have: 0.3428

Wich is a kinda small probability for our product to work.

3 0

4 years ago

What is the percentage of 75 out of 100 students

DochEvi [55]

75% would be the percentage of 75/100 students because 100 is the percent and 75 of 100 is 75%.

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3 years ago