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Roman55 [17]
3 years ago
6

How to draw a parallelogram that has 4 parallel lines

Mathematics
1 answer:
Mariana [72]3 years ago
6 0
It is impossible to draw a parallelogram with 4 parallel lines (or to draw any quadrilateral with 4 parallel lines, for that matter).
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Solve for x. 3(3x - 1) + 2(3 - x) = 0
olga nikolaevna [1]
The equation given in the question is
3(3x - 1) + 2(3 - x) = 0
9x - 3 + 6 - 3x = 0
6x + 3 = 0
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So the value of x as has been determined above is -1/2. I hope the procedure is clear enough for you to understand.<span>You can always use this method for solving problems that are similar in type without requiring any help from outside. </span>



8 0
3 years ago
If 6 times a certain number is added to 8, the result is 32.. . Which of the following equations could be used to solve the prob
liberstina [14]
Let x be the certain number and that six time this number may be expressed as 6x. Based on the conditions presented above, the sum of 6x and 8 should be equal to 32. This may be mathematically expressed as,
 
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Therefore, the answer is fourth choice. 

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3 years ago
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How many cases does he hear per hour?
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ruslelena [56]

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Tan to find the distance from the tower's base to the key.

why do we use Tan to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.

Tan α =  opposite / adjacent

=> Tan 72° = 150 / x

=> x = 150 / Tan 72°

=> x = 48.73795443 m = ~48.7m

5.

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Sin to find the distance that the ant travelled.

why do we use Sinn to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.

Sin α =  opposite / hypotenuse

=> Sin 72° = 150 / x

=> x = 150 / Sin 72°

=> x = 157.7193336 m = ~157.7m

6.

(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)

c^2 = a^2 + b^2 (pythago)

157.7^2 = 150^2 + 48.7^2

24875.3882 = 24875.3882 (correct)

7 0
3 years ago
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