The difference of the squares of two positive consecutive even integers is 68 find the integers use the fact that if x represents an even integer then x +2 represents the next consecutive even integers

16 and 18

Step-by-step explanation:

Here, x represents the even integer then the even consecutive next integer is x + 2,

According to the question,

 ( Using (a+b)² = a² + 2ab + b² )

                ( Combining the like terms )

Hence, first integer = 16,

Second integer = 16 + 2 = 18.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

i think it is 70

step-by-step explanation: