5.308 would be the correct answer
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>
An easy way (you must put the numbers in the correct side)
3 2 you cant subtract 5 from 2 so u carry one
-1 5 the 3
2 ¹3. it should look like this.Now u do 13-5=8
-1 5
2 ¹3. now u do 2-1=1
- 1 5
= 1 8
your final answer is 18.
36x=24(30) simplify to get what x equals
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°
