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masha68 [24]
3 years ago
10

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

9514 1404 393

Answer:

  B.  Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Step-by-step explanation:

It is generally useful to compare the answer choices to the problem statement. Here, the problem statement gives two points with identical x-coordinates and opposite y-coordinates.

Any answer choice saying the signs of the x-coordinates are different can be rejected immediately.

It also can be useful to draw yourself a picture. If you plot the points, you can see that the x-axis bisects them. The reflection is not across the y-axis, so any answer choice saying it is can be rejected.

The appropriate description is ...

  B. Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

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What is GE ?<br> Enter your answer in the box.
Flura [38]

The length of GE is 10 units

Explanation:

Given that the length of XY = 5 units and YZ = 4.6 units

<u>The length of GE:</u>

We need to determine the length of GE

From the figure, we can see that ZY bisects GE and XY bisects EF.

The lines ZY and XY both bisect GF.

The midpoint theorem states that "the line segment connecting the midpoints of  two sides of a triangle is parallel to the third side and is congruent to one half of the third side".

Since, we have,

EX = XF and X is the midpoint of EF

GY = YF and Y is the midpoint of GF

Since, XY is the line segment that connects the midpoints of the two sides of the triangle.

Applying the midpoint theorem, we have,

GE = 2XY

GE = 2(5)=10 \ units

Thus, the length of GE is 10 units.

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3 years ago
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Keith_Richards [23]
Answer is given above

8 0
3 years ago
Tabitha is placing the following numbers on a number line. Which of the following numbers is the smallest?
dolphi86 [110]

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What value of x is in the solution set of 9(2x + 1) &lt; 9x – 18?<br><br> –4<br> –3<br> –2<br> –1
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Step-by-step explanation:

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