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stira [4]
3 years ago
14

For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field.

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30

Because he needs both small and large another answer is x>0 and not x  0

Finally because he need at least dozen large cones the last answer is y

Step-by-step explanation:

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Given that the measure of X is 57° and the measure of y is 51° find the measure of z 
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Answer:

  132°

Step-by-step explanation:

Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.

Angle ZXQ is vertical to ∠x, so is the same measure.

Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...

  ∠YQX = 180° -51° -57° = 72°

This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...

  ∠z = 72° +60°

  ∠z = 132°

_____

<em>Additional comment</em>

The relations we used are ...

  • vertical angles are congruent
  • sum of angles in a triangle is 180°
  • an exterior angle is equal to the sum of the remote interior angles
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