A)
acd = a + b
(Get the value of B from image)
136 = a + 56
(Subtract 56 from both sides)
136 - 56 = a
(Solve 136 - 56)
a = 80
(C is supplementary with 136)
136 + c = 180
(Subtract 136 from both sides)
c = 180 - 136
(Solve 180 - 136)
c = 44
Therefore:
a = 80 and c = 44
B)
egh = e + f
(Get values from image)
63 = e + 23
(Subtract 23 from both sides)
63 - 23 = e
(Solve 63 - 23)
e = 40
(G is supplementary with 63, supplementary angles equal 180
63 + g = 180
(Subtract 63 from both sides)
g = 180 - 63
(Solve 180 - 63)
g = 117
Therefore
e = 40 and g = 117
Answer:
Step-by-step explanation:
We know all angles in a circle or around a point is 360°
So using that we can make the equation:
the angles e and f are on a straight line so they add up to 180°
So the other side of the line will be 180 as well. Hence we can make the equation:
9514 1404 393
Answer:
$0.23 per apple
Step-by-step explanation:
The cost per apple is found by dividing the cost by the number of apples. (You can think of "per" as meaning "divided by".)
cost/apple = $3.91/(17 apples) = $0.23 /apple
A vector is basically an arrow that tells you where to go. Specifically it tells you a direction and how far. The direction component is the angle. The "how far" component is the magnitude or modulus or length of the vector.
For choice C in the upper right hand corner, we see that the vector 'a' starts off on the right side and points directly to the left. It's a horizontal vector. The arrow is at the left side. After going from tail to tip along vector 'a', we repeat the same motions for vector b. Think of it as following directions on a map. To take a shortcut, we follow the resultant vector r. This takes us from the tail of vector 'a' to the tip of vector b without any obstacles or deviations. So this is why choice C is the answer.
Note: if you use the parallelogram law for choice A, then the resultant vector will be the same as shown in choice C. This is of course assuming that each vector 'a' is the same length and direction between the two answer choices. The same assumption is for the b vector as well. Choice D is close to what choice C is saying, but the arrow for r is pointed the wrong way. The arrow head must be pointed at the tip of vector b which is the final destination we want.