Answer
20% for the first one
Answer:
The pink angle is half the angle subtended by the blue arc.
Step-by-step explanation:
Given
See attachment for circle
Required
Compare the pink angle to the blue arc
Let the pink angle be x and the angle subtended by the blue arc be y.
So, we have:
angle at circumference
angle subtended by arc
The relationship between x and y is:

Make x the subject

First term [ a ] = 6.3
Common difference [ d ] = 8.8 - 6.3 = 2.5
Using general term formula,

78.8 = 6.3 + (n-1)*2.5
2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]
n-1 = 29
n = 30
Hence, 78.8 is the
30th term in the arithmetic series.
Answer:
Correct answer: ∝ = 18.43°
Step-by-step explanation:
Given coordinates represent one vector in x-y plane, let be v.
v = 3i +1j = xi + yj => x = 3 and y = 1
The angle that this vector builds with the positive direction to the x axis will be found using the tangent.
∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°
∝ = 18.43°
God is with you!!!
Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,





According to opposite vertical angle property.


Use angle sum property is triangle ABE.




Therefore, the measure of angle A is 60 degree.