The answer is B. centroid, which is the intersection of three medians of the triangle's sides.
Let's look into other answers as well:
A. Circumcenter
It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.
The first photo is what a circumcenter looks like:
C. Incenter
It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.
The second photo is what a incenter looks like:
D. Orthocenter
It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.
The second photo is what a Orthocenter looks like:
Therefore the answer is B. Centroid.
Hope it helps!
Answer:
The slope is <u>steeper</u> and the line is shifted <u>flatter</u>.
Step-by-step explanation:
I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).
As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.
Therefore, if line A is to transform into line B, then its slope will be steeper.
Hope this helps you :)
Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.
Answer:
? = 4
4 is the number missing on the right.
Step-by-step explanation:
Check out the 8 on left. It has become a 2 on the right. How did that happen?
What do you have to multiply the 2 by to get 8?
Before I answer, check out the 9 on the right. What did you have to multiply it by to get 36? The answer to that is 4 isn't it?
What about the 2. Don't you have to multiply it by 4 to get 8?
36 + 8 = 4(9 + 2) The distributive property on the right will produce the numbers on the left.
So ? = 4
Answer:
1) 12
2) c=-25
3) x = -16 2/3
Step-by-step explanation:
1) ..........................
- 6*(4-10+8) =
- 6*(- 6+8) =
- 6*2=
- 12
2) ..........................
- 34 + 2c = -16
- 2c = - 16 -34
- 2c = -50
- c = -50/2
- c=-25
3) ..........................
- 40 = -3x - 10
- 40+ 10 = -3x
- -3x = 50
- x = 50/-3
- x=-16 2/3
Answer:
Step-by-step explanation:
To find the angles of any shape with all sides equal in length, we use the formula:
, where n is the number of sides
For a pentagon, we get the equation:


Thus the measure of each in a pentagon if the lengths of all five sides are equal is 108 degrees.
Hope that helps!