Question

determine x so that x-2,4x-1,and 5x+2 are three consecutive term of an A.P​

Answer 1

Answer:

Given: (5x+2),(4x−1) and (x+2) are terms in AP.

So, d=(4x−1)−(5x+2)=(x+2)−(4x−1)

2(4x−1)=(x+2)+(5x+2)

8x−2=6x+2+2

8x−2=6x+4

8x−6x=4+2

or x=3

The value of x is 3.

Step-by-step explanation:

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Answer 2

Answer:

Here z has been added to two quantities that are equal.

So, by Euclid's second axiom, which states that, If equals are added to equals then wholes are equal,

⇒x+y+z=10+z

Hence, x+y+z=10+z is true by the second axiom of Euclid.