Question

The point of concurrency of the medians of a triangle is called the _____


circumcenter.


orthocenter.


centroid.


incenter.

Answer 1

Which center of a triangle is also the center of gravity of the triangle?


incenter


orthocenter


centroid


circumcenter

Answer 2

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side?


equal to 25


less than or equal to 25


less than 25


more than 25

Answer 3

Are you sure?.?

Answer 4

Read the following statement.

Maria passed the English exam.

What is the negation of this statement?


Maria may not have passed the English exam.


Maria did not take the English exam.


Maria took the English exam.


Maria did not pass the English exam.

Answer 5

Given:WZ VY , WZ bisects VY , VZ = 2x + 4, and ZY = 3x – 4. What is ZY? 40 20 24 8

Answer 6

centroid.

Answer 7

centroid

Answer 8

The third side of a triangle must be greater than the difference but less than the sum of the other two sides. Therefore, the length of the third side must be less than 10 + 15 = 25. So the correct answer is: less than 25

Answer 9

I made an error in my previous response, and I apologize for that. The third side of a triangle must be greater than the difference but less than the sum of the other two sides according to the triangle inequality theorem.

Given sides of the triangle are 10 and 15, the third side must be greater than |10 - 15| = 5 and less than 10 + 15 = 25.

Therefore, the length of the third side must be less than 25 and more than 5. So the correct answer is: less than 25.

Answer 10

Maria did not pass the English exam.

Answer 11

Since WZ bisects VY, we know that VZ = ZY.

Given: VZ = 2x + 4 and ZY = 3x - 4.

Since VZ = ZY, we can set these two equal to each other and solve for x as follows:

2x + 4 = 3x - 4
Subtract 2x from both sides:

4 = x - 4
Add 4 to both sides:

8 = x

Now that we have found x = 8, we can substitute this back into the equation for ZY:

ZY = 3(8) - 4
ZY = 24 - 4
ZY = 20

Therefore, the value of ZY is 20.