Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for y and DC. Place both answers below.

y=16

DC=276

Step-by-step explanation:

Since in a rectangle, the two opposite sides are always congruent (equal lengths), this means that 17y+4 is equal to the value of 11y+100.

So, solve for y.

17y+4=11y+100

-11y      -11y

6y+4=100

    -4     -4

6y=96

6      6

y=16

And then to find DC, you just need to plug in the y value.

11(16)+100=DC

176+100=DC

276=DC

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step-by-step explanation:

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