***will give brainliest to the first correct answer*** a conjecture and the paragraph proof used to prove the conjecture are shown. drag an expression or phrase to each box to complete the proof

1. If the angles are congruent the measures are equal.  That's the angle congruence postulate, usually too obvious to name.

2. The measures of complementary angles add to 90 degrees.  That's the definition of complementary angles.

3. We substitute m∠2 for m∠1 so now m∠2 + m∠3 = 90 degrees.

4. The measures add to 90 degrees so now we conclude ∠2 and ∠3 are complementary.

Why did this proof bother with the measures at all? Proof: Angles 2 and 3 are complementary.  Angle 1 is congruent to Angle 3.  Therefore Angles 1 and 3 are complementary.

we don't have enough info to solve this

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