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Olegator [25]
3 years ago
15

Find the value of x if P Q R S spaceis a parallelogram.

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

The value of x is 15.

Step-by-step explanation:

Given

PQRS is a parallelogram.

∠Q = (3x + 25)°

∠S = (5x - 5)°

To determine

The value of x = ?

We know that both pairs of opposite angles of a parallelogram are congruent.

As ∠Q and ∠S are opposite angles of a parallelogram. Therefore,  ∠Q and ∠S are equal.

Thus,

∠Q = ∠S

substitute ∠Q = (3x + 25)° and ∠S = (5x - 5)° in the equation

(3x + 25)°  = (5x - 5)°

subtract 25 from both sides

3x + 25 - 25 = 5x - 5 - 25

3x = 5x - 30

flip the equation

5x - 30 = 3x

add 30 to both sides

5x - 30 + 30 = 3x + 30

5x = 3x + 30

subtract 3x from both sides

5x - 3x = 3x + 30 - 3x

2x = 30

divide both sides by 2

2x/2 = 30/2

x = 15

Therefore, the value of x is 15.

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648 ÷ 8 tell how you solved pls i need help
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Answer:

The answer is 81

Step-by-step explanation:

All you have to do is create your long division chart with 648 inside and 8 on the outside 8 can not go into 6 but it can go into 64 so 8 goes on top of 4 you subtract 64 minus 64 becayse 8 times 8 is 64. Lastly you bring down the other 8 and 8 goes into 8 once so you put 1 on top. And so thats how you get 81.

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Studentka2010 [4]
If you would like to solve - 3 * a^2 - b^3 + 3 * c^2 - 2 * b^3, if a = 2, b = -1, c = 3, you can calculate this using the following steps:

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The correct result would be 18.

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3 years ago
What is the y cordinate of the solution<br>solve 8 and 9<br>​
Flauer [41]

Answer:

8) The y coordinate of the solution: 4

9) Average of change from x = 2 to x = 4: 11

Step-by-step explanation:

8)

y = 2x + 2

y = x^2 + 3

So

x^2 + 3 = 2x + 2

x^2 - 2x + 3 - 2 = 0

x^2 - 2x + 1 = 0

(x - 1)^2 = 0

x - 1 = 0

x = 1

Plug in x = 1 into either those 2 equations to find y

y = 2(1) + 2 = 4

or

y = (1)^2 +  3 = 1 + 3 = 4

Answer:

The y coordinate of the solution is 4

9)

p(x) = x^2 + 5x - 2

p(2) = 2^2 + 5(2) - 2 = 4 + 10 - 2 = 12

p(4) = 4^2 + 5(4) - 2 = 16 + 20 - 2 = 34

Average of change from x = 2 to x = 4:

[p(4) - p(2)]/[(x(4) - x(2)] = (34 - 12)/(4-2) = 22 /2 = 11

Answer:

Average of change from x = 2 to x = 4 :11

4 0
3 years ago
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