Answer:
GB = 15
Step-by-step explanation:
DC, EB and FA are the medians of the triangle.
The point G where the medians intersect is the centroid.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, hence
FG = 2GA, that is
5x = 2(x + 9)
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Hence
GB = 2x + 3 = (2 × 6) + 3 = 12 + 3 = 15
Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given
and
. Sum of these two angles is 90°.
So we can write the equation as,

We have to remove the parenthesis now.

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.



Now to get x, we have to move 3 to the other side, by dividing it to both sides.



We have got the required value of x.
The solution is x= 25.
Answer:
A scale to plot data
It is hard to tell the difference between the choices. If they are the following:
- a starting point with equal intervals that follow
- a stopping point for the data that can fit on the graph
- a way to locate data
- a scale to plot data