5=1/2v-3
5=1/2v
+3 +3
8=1/2v
/1/2 /1/2
16=v
Hi,
To find K you will pick a value from the x and then the corresponding Y value. Then we will plug it into the equation that is given y=Kx
Here:
X=25 Y=160
160=k25
(Divide both sides by 25 to isolate K)
K=6.5
Then plug K value into equation
Y=6.5X
Then if you want to check if that is correct you can pick a different point on the table and plug that into the equation to see if you get the same value.
Check:
X=50
Y=6.5x50
Y=320
We are given that:
side length = 8 3/2 inches = 9.5 inches
the rule for the area is: A = s^2
Substitute with the side length in the rule given to get the area as follows:
Area = s^2 = (9.5)^2 = 90.25 inch^2
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
