Find the direction angel of this vector <-5, 9>

θ = -60.94°

Step-by-step explanation:

The given vector is:

v = -5i+9j

We need to find the angle of this vector.

The angle of this vector form is given by :

So, the angle of this vector is -60.94°.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.