Answer:
25 units
Step-by-step explanation:
This problem can be solved by using concept of Basic proportionality theorem.
This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then
segment divided on those two sides are in equal proportion.
Let naem this triangle
the side containing 15 and 6 be AB, with A be point on segment having length 15 units
B be point on segment having length 6 units
c be point on segment having length ? units
DE line parallel to BC
Thus, if apply Basic proportionality theorem. in this then ratio formed will be
15/6 = ?/10
5/2 = ?/10
?= 5/2* 10 = 25
The length of missing segment is 25 units.
Answer:
D. 3
Step-by-step explanation:
For g(x) = |x|, we seem to have ...
f(x) = 3|x| = 3g(x) = a·g(x)
The value of 'a' is 3.
Answer:
The answer to your question is "2"
Step-by-step explanation:
Data
12x - 7 > 6
Process
1.- Add +7 in both sides of the inequality
12x - 7 + 7 > 6 + 7
2.- Simplify
12x > 13
3.- Divide by 12 both sides
12x/12 > 13/12
x > 13/12 or x > 1.08
4.- Conclusion
All the numbers higher than 1.08 are solutions of this inequality
Then, from the choices, the only possible solution is 2.
The answer to this problem would be c.
Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
