Answer:
<u>Option C. 9</u>
Step-by-step explanation:
The question is as following:
In triangle ABC, D is the midpoint of line AB and E is the midpoint of line BC. If AC= 3x-15 and DE= 6, what is the value of x?
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See the attached figure which represents the problem.
As shown:
D is the midpoint of line AB ⇒ AD = DB
E is the midpoint of line BC ⇒ BE = EC
Apply The Mid-segment theorem which states that the mid-segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this mid-segment is half the length of the third side.
So, DE = 0.5 AC
Given: Ac = 3x-15 and DE =6
∴ 6 = 0.5 (3x - 15)
solve for x
Multiply both sides by 2
12 = 3x - 15
3x = 12 + 15 = 27
x = 27/3 = 9
So, the value of x is 9
<u>The answer is option C. 9</u>
Answer:
Bonding theories predict
Step-by-step explanation:
how atoms bond together to form compounds. They predict what combinations of atoms form compounds and what combinations do not. Bonding theories explain the shapes of molecules, which in turn determine many of their physical and chemical properties
Answer:
9(x + 3)
Step-by-step explanation:
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Answer:

Step-by-step explanation:
An outcome is a possible result of an event. Sample space is the set of all possible outcomes.
An event is a subset of the sample space.
Let B, W denotes blue-collar, white-collar respectively.
Let R, D and I denotes republican, democrat, or independent respectively.
Number of members of an adult soccer team = 15 members
To find:Number of outcomes
Sample space:

So. n(S) = 
Answer:
- 23 and 23
Step-by-step explanation:
Absolute value is the distance from a number to zero on a number line. Absolute value is always positive.
- 23 is 23 space away from 0, and so is 23.