50 points to whoever can answer questions 1-10

1)   x = 4  2)   x = 4   3)  x = -4   4)   x = 3   5)   x = 5   6)   x = 9   7)   x = -8  

8)   x = 11   9)   x = -5   10)   x = -4

Step-by-step explanation:

Alternate Exterior and Alternate Interior angles are equal to each other.  Just set the numbers or equations the give you equal to each other.

Question 1:             Question 2:                 Question 3:               Question 4:

33x+3=135              120=31x-4                    120=x+124                 40x+5=42x-1

33x=132                  124=31x                        -4=x                           6=2x

x=4                          x=4                                x= -4                          x=3

Question 5:             Question 6:             Question 7:             Question 8:

20x+4=19x+9           11x= -9+12x               80=x+88                 10x+20=12x-2

-5= -x                        -x = -9                       -8 = x                      22=2x

x=5                            x= 9                          x= -8                       x=11

Question 9:              Question 10:

70=x+75                   130=x+134

-5 = x                         -4 = x

x = -5                         x= -4

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