The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr
1 answer:
You might be interested in
Answer:
w = - 15
Step-by-step explanation:
Assuming you mean
= - 4 ( multiply both sides by 3 to clear the fraction )
w + 3 = - 12 ( subtract 3 from both sides )
w = - 15
Answers:
- (12, 3)
- (-4, 3)
- (4, 11)
- (4, -5)
A diagram is shown below.
===========================================================
Explanation:
First we locate point B at (4,3). The '4' in the x position means we've gone 4 units to the right of the origin, and the 3 in the y coordinate means we've gone 3 units up.
Now we need to find four points that are 8 units away from this central location. We'll ignore point A.
What we can do is add 8 to the x coordinate of point B to get x+8 = 4+8 = 12. Keeping the y coordinate the same, the point (12, 3) is exactly 8 units away from (4,3). Think of drawing a number line through those two points. Then we can note there are 8 spaces between (4,3) and (12,3). Or we can say "there are 8 spaces between 4 and 12" since that '3' doesn't really play much of a role in this case.
So (12,3) is one answer.
---------------------------------
Move back to point B(4,3)
Instead of adding 8 to the x coordinate, let's subtract 8 from it
x-8 = 4-8 = -4
Again the y coordinate is kept the same.
The point (-4, 3) is 8 units away from (4,3). The number line distance from -4 to 4 is 8 units.
So (-4,3) is another answer.
----------------------------------
Move back to point B
From this starting point, we can move 8 units up. Doing this means we add 8 to the y coordinate, while the x coordinate is kept intact.
(4,3) turns into (4,11) after doing so.
(4,11) is another answer.
---------------------------------
Move back to point B
From this point, we can move down 8 units to arrive at (4,-5). note how y-8 = 3-8 = -5. The x coordinate is kept the same.
(4,-5) is another answer.
----------------------------------
The four points we found were:
- (12, 3)
- (-4, 3)
- (4, 11)
- (4, -5)
which are four possible answers
Those points are found by going 8 units right, 8 units left, 8 units up and 8 units down in that order. Each time we started at point B as our center of operation. The use of the word "center" is done because we can form a circle of radius 8, and the center of the circle is at B(4,3). Any point on the circle's edge is exactly 8 units away from the center point B.
Refer to the diagram below. The four answers are the red points P,Q,R,S. The point T is another point that could be an answer, but it's not as easy to find compared to the four other points.
Answer:
m∠1 = 71°
Step-by-step explanation:
Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.
Set the measures of the two angles equal to 90°
Combine like terms
Solve for x
Plug the value of 'x' back into the given equation for the measure of angle 1
m∠1 = 71°