What number should be added to both sides of the equation to complete the square? x2 + 3x = 6
2 answers:
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Answer:
Step-by-step explanation:
The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "
In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:
1.
Where "C" is the circumference of the circle and "D" is the diameter of the circle.
2.
Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).
In this case, the exercise gives you the circumference of the circle and its diameter. These are:
Then, knowing those values, you can substitute them s into the first equation , as following:
The final step is to solve for :
In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and
m∠N is 180°.
Response:
The true statements are;
- <u>x = 11°</u>
- <u>m∠N = 59°</u>
- <u>m∠O = 121°</u>
The possible drawing of the parallelogram LMNO created with MS Visio is attached.
From the drawing, we have;
m∠M = 11·x
m∠N = 6·x - 7
The properties of a parallelogram are;
Opposite angles are equal.
Adjacent angles are supplementary
Which gives;
11·x + 6·x - 7 = 180°
17·x = (180 + 7)° = 187°
m∠M = 11 × 11° = 121° = m∠O
m∠N = 6 × 11° - 7 = 59° = m∠L
Therefore;
The statements that are true are;
- x = 11°
- m∠N = 59°
- m∠O = 121°
Learn more about the properties of a parallelogram here:
