9514 1404 393
Answer:
Step-by-step explanation:
The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.
a² = 7² -4²
a² = 49 -16 = 33
a = √33
Which of the following is an irrational number ?
2 answers:
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<u>Given</u>:
Given that two lines are intersecting at the point.
The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.
We need to determine the equation to solve for x and the value of x.
<u>Equation:</u>
The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.
Hence, we have;
Hence, the equation is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Subtracting both sides of the equation by 2x, we get;
Adding both sides of the equation by 8, we get;
Thus, the value of x is 20.
Hence, the equation and the value of x are
Thus, Option D is the correct answer.
Addition property of equality
Division property of equality
<em><u>Solution:</u></em>
<em><u>Given inequality is:</u></em>
3x - 2 > 4
Here, Addition property of equality is used
When the same amount is added to both sides of an inequality, then the inequality is still true
3x - 2 + 2 > 4 + 2
3x > 6
Here, Division property of equality is used
When we divide both sides of an equation by the same nonzero number, the sides remain equal.
Thus the property used in each step of solving the inequality is found