Answer:
Bottom Right: Following CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can see that the corresponding parts are congruent (for example, UV ≅ XY, ∠W ≅ ∠T, etc.)
Bottom left: Again, CPCTC.
DE ≅ QP
∠E ≅ ∠Q
etc.
Not B), because, while BC ≅ GH, the angles are not all the same, which makes it non-congruent.
Not A), because while they both have right angles, the sides are not congruent (cannot be simplified to the same ratio).
~
Check the picture below. Bearing in mind that x = -2 is a vertical line.
Answer:
Bill
Step-by-step explanation:
Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
