Select the statement that best justifies the conclusion based on the given information. if x + 5 = 15, then x = 10. a) addition property of equality b)subtraction property of equality c) multiplication property of equality d)substitution

B) Subtraction property of equality.

Step-by-step explanation:

Given the equation , you need to solve for x to find its value. Then, you need to subtract 5 from both sides of the equation.

This property is called "Subtraction property of equality" and states that, to keep the equation balanced, if you subtract a number from one side of the equation, you must subtract the same number from the other side:

If:

Then:

Applying this property:

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