Triangle abc and triangle cfg are similar right triangles. which proportion can be used to show that the slope of ac is equal to the slope of cg? a) 0 − 2 3 − 0 = 2 − 6 9 − 3 b) 0 − 2 3 − 0 = 6 − 2 9 − 3 c) 2 − 0 3 − 0 = 6 − 2 9 − 3 d) 3 − 0 2 − 0 = 9 − 3 6 − 2

C

Step-by-step explanation:

proportion can be used to show that the slope of AC is equal to the slope of CG

Slope of AC = (2-0)/(3-0) = 2/3

Slope of CG = (6-2)/(9 -3) = 2/3

So answer is :

C)

      2 − 0        6 − 2

    =  

      3 − 0         9 − 3

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