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Ugo [173]
3 years ago
14

I need help with these two problems please

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Problem 2

Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.

Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.

Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.

======================================================

Problem 3

The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.

The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.

If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF

Then we can say,

GH = GN + NH

GH = EF + EF

GH = 2*EF

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Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

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Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

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Hint: | Perform a substitution.

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x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

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15 + 3 x - 2 y = -2

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Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

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-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

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Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

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Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

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Hint: | Perform a back substitution.

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Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

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x = -3

y = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer:  {x = -3 , y = 4 , z = 0

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----- -----

1 1

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