423.6 is the correct answer
Answer:
The length of segment DA is 15 units
Step-by-step explanation:
- <em>The segment which joining a vertex of a triangle and the midpoint of the opposite side to this vertex is called a median </em>
- <em>The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means </em><em>the length of the median is 3 times the part from the base</em><em> </em>
Let us use this rule to solve the question
In Δ AEC
∵ D is the midpoint of EC
∴ AD is a median
∵ B is the midpoint of AC
∴ EB is a median
∵ F is the midpoint of AE
∴ CF is a median
→ The three medians intersected at a point inside the triangle,
let us called it M
∵ AD ∩ EB ∩ CF at M
∴ M is the point of intersection of the medians of Δ AEC
→ By using the rule above
∴ AD = 3 MD
∵ MD = 5
∴ AD = 3(5)
∴ AD = 15 units
Answer:
50 i - 41
Step-by-step explanation:
Simplify the following:
(-7 i + 8) (i - 6)
(8 - 7 i) (i - 6) = (8) (-6) + (8) (i) + (-7 i) (-6) + (-7 i) (i):
-6×8 + 8 i - 6 (-7 i) - 7 i×i
-6×8 = -48:
-48 + 8 i - 7 i (-6) - 7 i×i
-7 (-6) = 42:
-48 + 8 i + 42 i - 7 i×i
-7 i×i = -7 i^2:
-48 + 8 i + 42 i + -7 i^2
i^2 = -1:
-48 + 8 i + 42 i - 7-1
-7 (-1) = 7:
-48 + 8 i + 42 i + 7
-48 + 8 i + 42 i + 7 = (8 i + 42 i) + (7 - 48) = -41 + 50 i:
Answer: 50 i - 41
Draw a number line with 10 positives and 10 negatives. Count from 0 to 8. Now, from 8, count back 12 spots. From that spot, go back to 0, which is their original position. The number you counted there is your answer.
Answer:
Ona should give Barton 2 strawberries
Step-by-step explanation:
8-2=6
4+2=6
