Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

3

Step-by-step explanation:

Let system security be A, program implementation be B and platform development be C

Then:

25 = A + B + C - AB - BC - AC + ABC

where AB is system security and program implementation,

BC is program implementation and platform development,

AC is system security and platform development and

ABC is all three

So plug in the given numbers to get:

25 = 10 + 13 + 12 - AB - 5 - 4 + 2

25 = 35 - AB - 9 + 2

25 = 35 - AB - 7

AB = 35 - 7 - 25

AB = 3

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2