In the first round of a card game, Niki scored 20 points. Then, she lost 10 points on one turn and an additional 25 points on her final turn. Part A Choose the number line that shows the change in Niki's score.

Full question :

Nthe first round of a card game, niki scored 20 points. then, she lost 10 points on one turn and an additional 25 points on her final turn. part a choose the number line that shows the change in niki’s score.

a. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to -20, 2nd from -20 to -10 and 3rd from -10 to 15.

b. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 20 to 0, 2nd from 0 to -10 and 3rd from -10 to 15.

c. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to -5 and 3rd from -5 to 5.

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

part b what is niki’s final score? enter your answer in the box. points

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

Step-by-step explanation:

The number line given run from -20 to +20 and so we record Niki's losses and wins using the negative numbers and positive numbers respectively. If Niki wins(scores 20 points) we add, that is a positive number on the number line. If Niki loses(loses 10 and 25 points) we subtract from her positive number using the negative values(points missed) on the number line. If we do this, Niki's value on the number line ends up at -15

To get Niki's final score, we calculate hence

+20-10-25 = -15 points

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

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.