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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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Emily baked 3 batches of sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighb
Vikentia [17]

Answer:

The answer is 198.

Step-by-step explanation:

First you need to know how much is a batch of cookies which is 60. Since she made 3 batches that means you will need to multiply 3 by 60, which will give you 180 cookies. Next you will need to add 2 to 10 because thats how much were took. That equals 12. Subtract 12 from 180 and that will give you 168. Last but not least you will need to add 30 because that is half the batch of cookies her neighbor gave to her. So 168 plus 30 equals 198.

7 0
3 years ago
1. the sum of two rational numbers is always always a (irrational number / rational number)
Blizzard [7]

One

The sum of two rational numbers is always rational. sqrt(9) + sqrt(25) = 3 + 5 which is rational. sqrt(16/100) = 4/10 = 2/5 is also rational. 3/28 is rational as well.

Two

Those are irrational. sqrt(10) + pi = ???? You cannot reduce this to any kind of fraction. Two irrationals always give a rational.

Three

The irrational number controls the answer. 10 + sqrt(5) is irrational. The 10 is OK. It is raional, but sqrt(5) is not a rational number.

8 0
3 years ago
3. Last year, the numbers of calculators produced per day at a certain factory were normally distributed with a mean of 560 calc
Mademuasel [1]

Answer:

<em><u>3. Last year, the numbers of calculators produced per day at a certain factory were normally distributed with a mean of 560 calculators and a standard deviation of 12 calculators.</u></em><em><u>(</u></em><em><u>C</u></em><em><u>)</u></em>

Step-by-step explanation:

<em><u>please click the heart and rate excellent and brainleist to </u></em><em><u>❤</u></em><em><u>☺️</u></em><em><u>☻</u></em><em><u>♨️</u></em><em><u>☻</u></em><em><u>☺️</u></em><em><u>❤</u></em>

8 0
3 years ago
Is 2y-x/6-4=0 a linear function
noname [10]

A equation of a linear function in a standard form:

Ax + By = C

2y-\dfrac{x}{6}-4=0\ \ \ \ |\cdot(-6)\\\\-12y+x+24=0\ \ \ \ |-24\\\\-12y+x=-24\\\\\boxed{x-12y=-24}

<h3>Answer: YES. It's a linear function.</h3>
3 0
3 years ago
ALGEBRA 1 HELP!!!!<br> •GIVING BRAINLIEST
pickupchik [31]
Amount= Deposit or initial amount ( 1+ percent increase) ^period of time
So Amount= 50(1+0.1)^3
= 50(1.1)^3
= 50(1.331)
=66.55
So she will have $66.55 in 3 years.
4 0
3 years ago
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