<em><u>Using</u></em><em><u> </u></em><em><u>mid</u></em><em><u> </u></em><em><u>point</u></em><em><u> </u></em><em><u>formula</u></em><em><u>.</u></em>
In which we have
Q(-4,5)=(6+x/2) , (2+y/2)
-4=6+x/2 and 5 =2+y/2
-8=6+x and 10=2+y
x=-14 and y=8
Therefore the required value of R{-14,8}
It is geometric because it is increasing by a common factor. If you multiply the previous number by 6 you receive the next number. If it were arithmetic you would add the number, not multiply.
Basically, the inputs are the x values on the table. Plug those into the function. "Multiply the input by -1/2, then add 3" translates to -1/2(x) + 3.
If you would like me to actually put the answers down, then I'll put them in the comments after you request them.
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
I did say the answer is $35. Because, you should use the highest factor or whatever operation the problem is using, to find the answer. Not sure if it's some two-step problem....
