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notka56 [123]
4 years ago
9

Which shape has a line of symmetry that can be drawn through the figure?

Mathematics
1 answer:
zimovet [89]4 years ago
7 0

Answer: Option D.

Step-by-step explanation:

A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.

Then any figure that can be cutin exactly two halves, is a correct answer to this question.

Then:

For a circle, the line of symmetry is the diameter of the circle.

For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.

For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.

Then all the figures are correct options, then the correct option is D

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Write the equation 2y − 4x = 5 in the form y = mx + b.
gtnhenbr [62]

Hello from MrBillDoesMath!

Answer:

y = 2x + 2.5

Discussion:

2y -4x = 5                        => add 4x to both sides

2y - 4x + 4x = 4x + 5        => -4x + 4x = 0

2y = 4x + 5                      => divide both sides by 2

y = 2x + (5/2)                   => as 5/2 = 2.5

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3 0
4 years ago
Solve the simultaneous equation<br> 2x + 4y=1<br> 3x - 5y=7
nexus9112 [7]

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.

6 0
3 years ago
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