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AnnyKZ [126]
3 years ago
13

Parallelogram ABCD is a rectangle.

Mathematics
2 answers:
yanalaym [24]3 years ago
5 0

Answer:

y=3

Step-by-step explanation:

Given:  Parallelogram ABCD is a rectangle.

            AC=5y-2 and BD=4y+1

To find: Value of <em>y</em>

Solution: It is given that ABCD is a rectangle, and we know that the opposite sides of a rectangle, and the diagonals of a rectangle are always equal.

As, AC and BD are the diagonals of the rectangle, both will be equal.

So, on equating AC and BD we have,

AC=BD

5y-2=4y+1

5y-4y=1+2

y=3

Hence, the value of <em>y </em>is 3.

weeeeeb [17]3 years ago
3 0
Because diagonals of a parallelogram are equal, set both problems equal to one another. Solving, you should get y=3
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Mr. Rudd built a cabin with 351 logs, and his friend built a cabin with 113 logs. About how many logs did the two of them use
seropon [69]

Answer:

464

Step-by-step explanation:

351 + 113. Add them both together to get your answer.

4 0
3 years ago
Can anyone help me out, if you answer the question right i will give you a brainliest.
melisa1 [442]

Answer:

It's different because the experiment is more accurate as it progresses.

Step-by-step explanation:

You'll notice that the higher the numbers get in the experiment the closer it gets to your solution. The theoretical probability of flipping a coin is about 50% heads and 50% tails, but it doesn't always seem like that in an experiment. The experimental probability from your experimentation so far would be 62% of heads and 38% of tails.

4 0
3 years ago
-(-8n+3.9)
nataly862011 [7]

Answer:

8n - 3.9

Step-by-step explanation:

Given

- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1

= 8n - 3.9

4 0
3 years ago
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
Find the sum of the interior angle measures of the polygon
pshichka [43]
<h3>Answer:  1260</h3>

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

8 0
2 years ago
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