Answer:
28/3
Step-by-step explanation:
We see that the triangles are simalar to eachother, so we can set up this ratio:
x/(8+x) = 7/13
x = 56/13 + 7x/13
13x = 56 + 7x
6x = 56
x=56/6=28/3
Answer:
0.1 or 1.0
Step-by-step explanation:
it is in the middle of the grid so the point is on 0 and 1
The <em>correct answer</em> is:
B) the point of concurrency of the perpendicular bisectors of the sides of the triangle
Explanation:
The definition of circumcenter is "the point of intersection of the perpendicular bisectors of a triangle."
To construct the circumcenter, we first construct the perpendicular bisector of each side of the triangle. Once we have these three lines, we find their point of intersection; this is the circumcenter.
Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m = 
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.
Answer:
10m
Step-by-step explanation:
We can set up an equation to solve this.

This equation can be created since we are given two similar sides of both triangles.
Now, cross multiply and simplify to solve for
.

The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.
Therefore, the value of
is 10m.