Find the value of x
1 answer:
The correct answer is option C: 8
Step-by-step explanation:
We will use the mid-segment theorem of triangle to solve this problem.
We can see that the line which is represented by 2x-9 is the mid-segment of the triangle as it passes from mid-points of two sides of the triangle
The mid-segment theorem states that "Any line that passes through the mid-points of two sides of triangle is parallel to the third side and in length, it is half the length of the third side
In the given figure,
The length of line represented by 2x-9 will be half of 14
So,
Adding 9 on both sides
Dividing both sides by 2
Hence,
The correct answer is option C: 8
Keywords: Triangle, mid-points
Learn more about the mid-segment theorem at:
#LearnwithBrainly
You might be interested in
Your two equations are at the top, in the box is what each variable represents. Below the box is total liters of the 15%, which is going to equal the total liters for 10% plus the total liters for 25%. Make your percentages into decimals. There’s a total of 30 liters so, x+y needs to equal 30. Isolate a variable, I chose y, you can do either or (isolating x would be more math). Y is going to equal 30-x, substitute that for the Y in the second equation, then you need to distribute 0.25 into 30-x. Then it’s simple math, subtract 7.50 from both sides, add like gets, divide both sides by -0.15, making x=20.
