Answer:
3 + 9i
Step-by-step explanation:
(4 + 2i) - (1 - 7i)
distribute the (-)
(4 + 2i) - 1 + 7i
combine like terms
3 + 9i
Answer:
Option B is correct.
Step-by-step explanation:
We have given a triangle ABC and EDC please look at the figure
We can see that AE and BD are transversal therefore, ∠EAB=∠AED being alternate interior angles
And ∠ACB=∠DCE are vertically opposite angles hence, equal
So, by AA similarity postulate the above to triangles are similar
ΔABC 
ΔEDC
Therefore, Option B is correct that is Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
NOTE: m∠3 = m∠4 corresponds to m∠ACB=m∠DCE
And m∠1 = m∠5 corresponds to m∠EAB=m∠AED
Answer:
35 feet
Step-by-step explanation:
We'll begin by calculating the resultant for you and your friend.
For you:
R² = 12² + 9²
R² = 144 + 81
R² = 225
Take the square root of both side
R = √225
R = 15 feet
For your friend:
R² = 16² + 12²
R² = 256 + 144
R² = 400
Take the square root of both side
R = √400
R = 20 feet
Finally, we shall determine the distance between you and your friend.
The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e
You resultant = 15 feet
Your friend's resultant = 20 feet
Distance between you and your friend = 15 + 20 = 35 feet.
Therefore, you threw the baseball 35 feet away from your friend.
