Find a formula for the nth term of the arithmetic sequence:
first term -12
common difference 4

Step-by-step explanation:

The generic formula for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where an is the n-th term and a1 is the first term.

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Here, you have a1 = -12 and d = 4. Putting these numbers into the formula gives you what you are asking for:

  an = -12 +4(n -1)

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.