The first difference of a sequence is the arithmetic sequence 1, 3, 5, 7, 9, Find the first six terms of the original sequence in each of the following cases.
a. The first term of the original sequence is 2.
b. The sum of the first two terms in the original sequence is 11.
c. The fifth term in the original sequence is 27.

I think it's b because the common difference is 2 and if you add the 9 to 2 you'll get 11. But I am not sure though

Step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

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.