Find the values of x, y and z from the given parallelograms.
please help please it's a request

  (ii) (x, y, z) = (110°, 30°, 30°)

  (iii) (x, y, z) = (110°, 70°, 70°)

Step-by-step explanation:

The things you need to know and use are ...

  Opposite angles of a parallelogram are congruent.

  Adjacent angles of a parallelogram are supplementary.

  Alternate interior angles between a transversal and parallel lines are congruent.

  Corresponding angles where a transversal crosses parallel lines are congruent.

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(ii) Angles B and D are opposite, so congruent:

  x = 110°

Angle DAB is supplementary to angle B, so is 70°. That means z is ...

  z = 70° -40° = 30°

Angle y is "alternate interior" relative to z, so is congruent to z:

  y = 30°

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(iii) Angle x is adjacent to angle N, so is supplementary to 70°.

  x = 180° -70° = 110°

Angle y is opposite angle N, so is congruent.

  y = 70°

Angle z is corresponding to angle N, so is congruent. (It is also "alternate interior" with respect to angle y, so is congruent to y.)

  z = 70°

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

a. is correct