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fenix001 [56]
3 years ago
15

HELP! Look at the figure, PQRS. Find the values of ​x and y. a) x = 5, y = 7 b)x = 6, y = 8 c)x = 6, y = 9 d)x = 7, y = 10

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

  c)  x = 6, y = 9

Step-by-step explanation:

The figure is a parallelogram. The diagonals of a parallelogram bisect each other, so each part of a given diagonal is equal to the other part.

  3x = 2y

  2x = y+3

__

Solving the second equation for y, we have ...

  y = 2x -3

Substituting into the first equation gives ...

  3x = 2(2x -3)

  3x = 4x -6 . . . . simplify

  6 = x . . . . . . . . .add 6 -3x

  y = 2(6) -3 = 9 . . . . use the above expression for y

The values of x and y are (x, y) = (6, 9).

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Purchased a book rs 500 sold 20%profit find its actual profit and sel<br>ling price​
umka2103 [35]

Answer:

Selling price=rs.600.

Profit of rs=100.

Step-by-step explanation:

C.P=500; profit%=20%

S.P.=100+profit%×C.P/100

S.P=120×500/100

=rs.600

S.P>C.P

Profit S.P-C.P

600-500=100

he gained for rs.100.

7 0
2 years ago
A study suggested that childrenbetween the ages of 6 and 11 in the US have anaverage weightof 74 lbs. with a standard deviation
Doss [256]

Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that \mu = 74, \sigma = 2.7

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

Z = \frac{X - \mu}{\sigma}

Z = \frac{85 - 74}{2.7}

Z = 4.07

Z = 4.07 has a pvalue of 1

X = 70

Z = \frac{X - \mu}{\sigma}

Z = \frac{70 - 74}{2.7}

Z = -1.48

Z = -1.48 has a pvalue of 0.0694

1 - 0.0694 = 0.9306

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

7 0
2 years ago
A discovery in New Jersey actually contributed to the
Butoxors [25]

Correct option is B. A discovery in New Jersey actually contributed to the

early economic development of America and, in 1714, a worker uncovered a green rock containing copper.

Here, the use of conjunction 'and' is incorrect as it creates a kind of distortion which seems as if we are talking about two different things: rather then linking the two parts of the sentence, 'and' further disconnects it.

"When" seems better than "And". It clearly indicates the mentioned time. Thus B is the correct answer.

To learn more about copper from given link

brainly.com/question/24856041

#SPJ4

4 0
1 year ago
I need help with this question!!
Mashcka [7]

Answer:

QR = 5.

Step-by-step explanation:

Because the parallelograms are similar then the corresponding sides are in the same ratio.

So AB / PQ = BC / QR

9/3 = 15 / QR

15 / QR = 3

QR = 15/3

= 5.  (answer)

7 0
3 years ago
The brainliest please ................,,,,,,..,,,,,,,,,,,,,,,,,,,
MArishka [77]

Answer:

d

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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