Yeah also you got it correct, congrats.
Answer:
(20,-4)
Step-by-step explanation:
We are given;
One end point as (2,5)
Point of division as (10,1)
The ratio of division as 4:5
We are required to calculate the other endpoint.
Assuming the other endpoint is (x,y)
Using the ratio theorem
If the unknown endpoint is the last point on the line segment;
Then;
=
+![\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Therefore; solving the equation;

solving for x
x = 20
Also

solving for y
y= -4
Therefore,
the coordinates of the end point are (20,-4)
Answer:
x = 90
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
3x = 270 ( divide both sides by 3 )
x = 90
The six sided die has 6 sides (with numbers 1,2,3,4,5 and 6). That's why the probability to roll number 2 in one trial is equal to

.If you'll dol 50 trials, then you can expect

times to roll number 2 (8 or 9 times).
Slope is the rise/run of the line. With the rise being how far apart the two points are on the y axis, and the run being how far apart the two points are on the x axis.
In this case, the first point is 6 units down from the other and 4 units over from it. (6/4) then from there you would simplify your fraction. (Both numerator and denominator can be divided by 2).
Your slope in total is 3/2. Hope this helped.