Answer:
33
Step-by-step explanation:
We know that PS and QR are the same size since we are working with parallel sides of a parallelogram. We can write an equation and solve for z.
5z + 3 = 6z - 3
~Subtract 3 to both sides
5z = 6z - 6
~Subtract 6z to both sides
-z = -6
~Divide -1 to both sides
z = 6
Now, find the length of QR with what we found for z.
6z - 3
6(6) - 3
36 - 3
33
Best of Luck!
Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.
<h3>What are supplementary angles?</h3>
Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,
30° + ∠y + 30° = 180°
60° + ∠y = 180°
∠y = 180° - 60° = 120°
Hence, the measure of the ∠y is 120°.
Learn more about Supplementary Angles:
brainly.com/question/2882938
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Answer:
The coordinates of the fourth vertex of the rectangle is 
Step-by-step explanation:
Let
using a graphing tool
Plot the vertices of the rectangle
The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C
The intersection point is
see the attached figure
Answer:
the picture is really blur send the right picture please mark as branlist
Answer:
8.254
Step-by-step explanation:
I used a calculator and then rounded it
