9514 1404 393
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°
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<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
Answer:
Step-by-step explanation:
Combine the two sets to form one giant set. If needed, toss out any duplicate values.
So,
A U B = {4,7,10,13,17, 3,5,7,9}
Toss out the duplicate item "7" and sort the values to get
A U B = {3,4,5,7,9,10,13,17}
0.625 dozen
1/12 x 7.5
= 0.625
Ok ok im gonna with C but if it’s wrong i am sooo sorry
