Solve the following problem. be sure to show all steps (v. e.s. t.) and work in order to receive full credit.
the sum of three numbers is 26. the second number is twice the first and the third number is 6 more than the second.
find the numbers.
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first number: 4  Second number: 8 third number: 14

Step-by-step explanation:

first number: x

second number: 2x

third number: 2x+6

5x + 6 = 26

5x = 20  

x = 4  

2x = 8

2x + 6 = 14

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.