X is an odd number
x+2 is also odd (consider the example x = 3 so x+2 = 3+2 = 5). Adding 2 to any odd number is always odd
Similarly, so is x+6 (since we have x+2+2+2).
And so is x+10 (x+2+2+2+2+2).
So every value in this list is an odd number. The middle most values are x+2 and x+6 which are both odd.
Adding any two odd numbers together yields an even number. For example 3+5 = 8. Divide this even number in half and we may or may not get an odd number (eg: 8/2 = 4 and 6/2 = 3)
So this statement is sometimes true
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>
(0, 4)
(-1, -3)
(2, -3)
For a 90 degrees clockwise rotation, the rule is (y, -x)
Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.
First interval: [3,4]
Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.
Second interval : [0,2]
0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.
Third interval : [2,3]
In this interval, Eulers number 'e' lie whose value is (2.718281.. )
Hence we can conclude that, there occurs an irrational number between any two rational number.
5.8 x 2.19
= (5.00 + 0.80) x (2.00 + 0.19)
= 5.00*2.00 + 5.00*0.19 + 0.80*2.00 + 0.80*0.19
= 10.00 + 0.95 + 1.60 + 8/10 * 19/100
= 10.00 + 0.95 + 1.60 + (8*(10+9))/1000
= 10.00 + 0.95 + 1.60 + (80+72)/1000
= 10.00 + 0.95 + 1.60 + 152/1000
= 10.000 + 0.950 + 1.600 + 0.152
= 11.600 + 0.950 + 0.152
= 12.550 + 0.152
= 12.702
Hope this helps!
