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3 years ago

The diagram of the hexagon below displays all the lines of symmetry for the hexagon. True or false

Mathematics

2 answers:

Fiesta28 [93]3 years ago

6 0

The answer is true I just took the test

nekit [7.7K]3 years ago

3 0

Answer:

Option A.

Step-by-step explanation:

If a figure reflected across a line and the figure is not changed when reflected through that line, then the line is called axis of symmetry.

The given figure is a regular hexagon and a regular hexagon has 6 lines of symmetry.

If lines joint opposite vertices of a regular hexagon, then those lines are lines of symmetry for the hexagon.

If lines joint midpoint of the opposite sides of a regular hexagon, then those lines are lines of symmetry for the hexagon.

The given diagram of the hexagon displays all the lines of symmetry for the hexagon. So, the given statement is true.

Therefore the correct option is A.

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3 years ago

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vekshin1

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3 years ago

A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of

notka56 [123]

Answer:

$\frac{2}{5}$ th part of the field is covered in the second sprint.

Step-by-step explanation:

A football player is running the length of a 100 yard long football field.

Let player sprints x yards with the speed = 2 yards per second.

So time taken to cover x yards player will take time = $\frac{x}{2}$ seconds

Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = $\frac{Distance}{Speed}$

= $\frac{100-x}{4}$ seconds

Now total time taken by the player can be represented by the equation

$\frac{x}{2}+\frac{100-x}{4}=40$

Now we can solve this equation for the value of x.

$\frac{2x+100-x}{4}=40$

x + 100 = 40×4

x + 100 = 160

x = 160 - 100 = 60 yards

And length of the second part will be = 100 - 60 = 40 yards

Now the fraction of the field covered by the player in second sprint will be

= $\frac{40}{100}$

= $\frac{2}{5}$ or 40%

Therefore, $\frac{2}{5}$ th part of the field was covered in second sprint.

5 0

3 years ago

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minut

Keith_Richards [23]

Answer:

90 degrees

Step-by-step explanation:

Complete question

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius. WHAT IS THE INITIAL temperature of the coffee

The initial temperature occurs at x = 0

Substitute x = 0 into the expression;

T=70(0.80)^x+20

T =70(0.80)^0+20

Since any value raise to power of zero is 1, hence;

T = 70(1)+20

T = 70+20

T = 90 degree Celsius

Hence the initial temperature of the coffee is 90 degrees

3 0

3 years ago

To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as o

Karolina [17]

Answer:

x = -1

x = 3

Step-by-step explanation:

$\sf x^2 - 2x = 3$

Add 1 to both sides:

$\sf \implies x^2 - 2x+1 = 3+1$

Factor the left side:

$\sf \implies (x-1)^2 = 4$

Square root both sides:

$\sf \implies x-1 = \pm2$

Therefore:

$\sf \implies x-1=-2 \implies x=-1$

$\sf \implies x-1=2 \implies x=3$

6 0

2 years ago