Find the value of x given the diagram below

I need help for this math test that I’m doing from home (because of quarantine)

The value of x is 44°.

Step-by-step explanation:

Step 1:

The sum of the angles in a triangle is equal to 180°.

The sum of the angles along a straight line is 180°.

The two given angles of the triangle are 14° and 30°.

Assume the third angle is a.

The sum of 14°, 30° and a is 180°.

So the third angle of the triangle is 136°.

Step 2:

The sum of the angles along a straight line is 180°.

The sum of the angle of the triangle, 136° and x is 180°.

So x measures 44°.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square