The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
<h3>Properties of a square.</h3>
- All the sides are equal.
- Opposite sides are parallel to each other.
- The diagonal intersects at right angle.
Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
- c = hypotenuse
- a and b are other legs
Therefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
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<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.
</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).
</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).
It may be helpful to graph these sets.
If you really do mean "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.
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The answer would be D. This is because in order to get W you would have to multiply 24 by the age (X) and add 8
Question: 2x - 4 + 5x
Simplified: 7x - 4
