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3 years ago

10

A hexagon is graphed on a coordinate grid and then translated 4 units to the right and 3 units up. If one of the vertices of the

original hexagon is located at (9,2), what is the ordered pair of this vertex of the new hexagon after the translation?

1 answer:

Elena L [17]3 years ago

7 0

Answer:

(13 , 5)

Step-by-step explanation:

(9 + 4 , 2 + 3) i.e. (13 , 5)

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3 years ago

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AnnyKZ [126]

Answer:

angle s = 22

angle r = 117

angle q = 41

Step-by-step explanation:

so all of the angles equal to 180 degrees in a triangle

so you add all of t he angles like this:

x+5x+7x+2x-3=180

collect all of the like terms,

8x + 4 = 180

subtract 4 from both sides, which leaves you with 8x = 176

divide both sides by 8 leaving x on its own.

x = 22

angle s = 22

angle r = (5x22)+7 which is 117

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3 0

2 years ago

in a survey four out of seven people named blue as their favorite color. One out of three named red.If 1,092 people were include

Dominik [7]

Answer: There are 312 people who named neither blue nor red as their favorite color.

Step-by-step explanation:

Since we have given that

Total number of people who are surveyed = 7

Number of people who named blue as their favorite color = 4

According to question, one out of three named 'red'.

So, Out of seven people , number of people who named neither blue nor red as their favorite color is given by

$7-(4+1)=7-5=2$

There if there are 1092 people who were included in the survey , then we need to find the number of people who named neither blue nor red as their favorite color.

$\frac{2}{7}=\frac{x}{1092}\\\\x=\frac{2\times 1092}{7}\\\\x=312$

Hence, there are 312 people who named neither blue nor red as their favorite color.

5 0

3 years ago

A car wheel is 56 cm in diameter. A. How far does the car go in one revolution of the wheel?

andre [41]

The car moved 175.84 cm in one revolution

The car has moved 17584 cm in 100 revolutions

<em><u>Solution:</u></em>

Given that car wheel is 56 cm in diameter

diameter = 56 cm

To find: distance traveled in one revolution of wheel

Usually wheel is of circular shape

one revolution of wheel = circumference of circle

<em><u>The circumference of circle is given as:</u></em>

$c = 2 \pi r$

We know that,

diameter = 2(radius)

$d = 2r$

<em><u>So the circumference becomes:</u></em>

$c = \pi d$

substitute $\pi$ = 3.14 and d = 56 cm

$c = 3.14 \times 56 = 175.84$

Thus the car moved 175.84 cm in one revolution

<em><u>B. How far does it go in 100 revolutions</u></em>

Distance covered in 100 revolutions = 100 x Distance covered in 1 revolution

$\rightarrow 100 \times 175.84 = 17584$

Thus the car has moved 17584 cm in 100 revolutions

6 0

4 years ago