This is true
Think of two houses. If we say "the houses are identical" then the corresponding pieces must be the same (eg: the doors must be the same type out of the same material). In this analogy, the houses are the triangles, which are the overall structures. The doors are the angles since they are pieces of the overall structures. This is what CPCTC is saying
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
Once again, the final answer is true.
Simplify whatever is in the parenthesis:
(5×^2-4x-1) and <span>(4x^2-4)
after that subtract the numbers you got from both </span>parenthesis after simplifying
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items.
Answer:
5.33
Step-by-step explanation:
move the 4 out of the summation because just a constant multiplier
4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)
The formula for the geometric sum is :
First term*(1-multiplier^n)/(1-multiplier), formally 
Here multiplier is 1/4
First term is (1/4)^(1-1) = 1
Thus the value of sum is
which equals 
We factored out 4 so its
which is 
This equals 5.333328247 which is 5.33 to the nearest hundredth