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solmaris [256]
3 years ago
9

Help........ Again and thanks

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:

x=3, y=1

Step-by-step explanation:

2x+y =7

3x-4y =5

Multiply the first equation by 4 so we can eliminate y

4(2x+y =7)

8x +4y =28

Add this to the second equation

8x +4y =28

3x-4y =5

----------------

11x = 33

Divide by 11

11x/11=33/11

x=3

Now we still need to find y

2x+y=7

2(3)+y =7

6+y=7

Subtract 6 from each side

6-6+y=7-6

y= 1

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#
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4. The point Z is the orthocenter of the triangle.

5. The length of GZ is of 9 units.

6. The length of OT is of 9.6 units.

<h3>What is the orthocenter of a triangle?</h3>

The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.

Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.

For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:

  • The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
  • The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.

<h3>Missing Information</h3>

The complete problem is given by the image at the end of the answer.

More can be learned about the orthocenter of a triangle at brainly.com/question/1597286

#SPJ1

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