The answer is 2/3 because 3/8x16/9= 2/3
The angles of a quadrilateral sum to 360 degrees. A pentagon's exterior angles are 108 degrees. A hexagon's exterior angles are 60 degrees. So, <BAL AND <KLA are 60+108 or 168. 168 + 168 = 336. 360-336 = 24. If you write m<ABK as x, you can write the sum of <ABK and <LKB as 2x. If 2x=24, x=12. So, m<ABK is 12 degrees.
For the first question,
Square-root 5 is NOT a rational number.
It’s irrational because, in decimal form, the number goes on forever and has no repeating numbers in decimal form.
Question 2
Pi is NOT rational.
Pi goes on forever and doesn’t repeat.
Since
∠CPD = x
and segment PN is the angle bisector of this angle, therefore segment PN
equally divides ∠CPD into two angles. Which means that:
∠CPN = ∠NPD = x / 2
Further,
segment PN is also the perpendicular bisector of AB which further means that
the intersection formed by PN and AB creates a right angle (90°). Therefore:
∠NPD + ∠DPB = 90°
x/2
+ ∠DPB =
90°
∠DPB =
90 – x/2
Therefore:
sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>
However we know that the
relationship of sin and cos is:
sin(π/2
- θ) = cos θ
Where,
π/2
= 90
θ =
x/2
Therefore:
sin(90 – x/2) = cos(x/2)
Answer:
<span>cos(x/2)</span>
Answer:

Step-by-step explanation:
We need to find the value of 
So let's apply formula




