You are instructed to subtract 4 points from each score, square the resulting value, and find the sum of the squared numbers. How would this set of instructions be expressed in summation notation?

Σ(xᵢ-4)², i=1,2,3...

Step-by-step explanation:

Let a score be defined by x

Each score will be xᵢ i.e. x₁, x₂, x₃, x₄... for the first four consecutive scores and so on.

Subtracting 4 from each score = xᵢ-4

Squaring the Resulting Value = (xᵢ-4)²

The sum of the squared numbers = Σ(xᵢ-4)², i=1,2,3...

Σ(xᵢ-4)² is the set of instruction expressed in summation notation.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.