19. what is the equation of the line perpendicular to line l that passes
through point (3, 3)?

  y -3 = (1/2)(x -3)

Step-by-step explanation:

The given line has a slope that is ...

  rise / run = (-2)/(1) = -2

The perpendicular line will have a slope that is the negative reciprocal of that:

  m = -1/(-2) = 1/2

In point-slope form, the equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

The line with slope 1/2 through point (3, 3) will have equation ...

  y -3 = (1/2)(x -3)

555.99.

step-by-step explanation:

hope this

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.