Example 2: Find the value of x.
(3x - 9)
(x + 35), somebody pls help a brotha wit dis

x = 22

Step-by-step explanation:

Both angles shown correspond to the same point in the two triangles, so they are the same.

Put these expression into an equation like this: 3x - 9 = x + 35

3x - 9 = x + 35

Subtract x from both sides.

3x - 9 - x = 35

Subtract x from 3x to get 2x.

2x - 9 = 35

Add 9 to both sides

2x - 9 + 9 = 35 + 9

Add 35 and 9 to get 44. -9 and 9 cancel each other out

2x = 44

Divide both sides by 2.

2x/2 = 44/2

x = 44/2

Divide 44 by 2 to get 22.

x = 22

Check your work if it works

3(22) - 9 = 22 + 35

66 - 9 = 57

57 = 57

Both sides equal each other, so x is 22.

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

1. minimum

2. 6400

3. eight

hope this !