The polygon ABCD was rotated 60° about point P as shown. Which best describes this rotation?





A.
1/6 turn clockwise


B.
1/6 turn counterclockwise


C.
1/3 turn clockwise


D.
1/3 turn counterclockwise
The polygon ABCD was rotated 60° about point P as - 1

Answers

Answer 1
Answer: the answer is B.1/6 turn counterclockwise. why? well it is moving to the left and the clock moves to the right not the the left so that means it is counter clockwise. now to find out if it is 1/3 or 1/6 the circle has 360 degrees, and we already moved 60 so how much is 60 from 360 divide to find out 360/60=6. and since it is only one part it is 1/6 so B is your answer.

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Can you explain how complex fractions can be used to solve problems involving ratios?

Answers

example: (1/5)/(4/13)=(1/5)*(13/4)=13/20

Lorelei filled her 5-gallon jug with water. How many times could she fill her 2-quart canteen with water from the jug?

Answers

There are 4 quarts in each gallon.
It would take 2 fills of the canteen to make one gallon.
2x5=10

Also, this image may be helpful.
You exchange the gallon to quarts5*4=20Then divide by 2 which is her canteen20\2= 10

Solve 100 divided by 5 x 4 + 4³

Answers

Answer:

100 /( 5 x 4 + 4³) = 1 4/21  

100 / 5 x 4 + 4³ = 144

Step-by-step explanation:

100 /( 5 x 4 + 4³)

PEMDAS tells us to do what is inside the parenthses

We will do the power in side the parentheses first  4^3 = 64

100 /( 5 x 4 + 64)

Now we will multiply

100/(20+64)

Now we add inside the parentheses

100/84

Divide the top and bottom by 4

25/21

Changing from an improper fraction to a mixed number

1 4/21

OR  

100 / 5 x 4 + 4³

If the quantity is not in parentheses

We will do the power  first  4^3 = 64

100 / 5 x 4 + 64

Then we do the multiplication and division from left to right

20 *4+64

80+64

144

Answer:

144

Step-by-step explanation:

4 x 4 x 4 = 64

100/5 = 20

20 x 4= 80

80 + 64 =144

Two quantities are related, as shown in the table: x y
2 10
4 9
6 8
8 7


Which equation best represents the relationship?
y = 1 over 2 x + 11
y = negative 1 over 2x + 11
y = 2x + 10
y = 2x + 11

Answers

You need to calculate it's slope.
(x₁,y₁) = (2,10) and (x₂,y₂) = (4,9)
Now,(y₂-y₁) = m(x₂-x₁)
(9-10) = m(4-2)
2m = -1
m = -1/2

Now, take any one point for calculation of b in equation;
10 = -1/2(2) + b
b = 10 + 1
b = 11

So, Equation of the line would be: y = -1/2x + 11

In short, Your Answer would be Option B

Hope this helps!

Answer:

In short, Your Answer would be Option B

Step-by-step explanation:

What is the slope of the line passing through the points (–3, 4) and (2, –1)?A.




3/5


B.


–1


C.
1


D.




-5/3

Answers

to find the slope, we find that by (y₁-y₂)/(x₁-x₂) so
(4-(-1))/(-3-2)=5/-5 and dividing a negative by a positive=a negative so the slope is -1
the answer is B
Slope of the line using the two points (-3,4), (2,-1) given.
x1 = -3, y1 = 4,  x2 = 2, y2 =-1

m = (y2 - y1) / (x2 - x1). 

m = (-1 - 4)/(2 - - 3).

m = -5/ (2 + 3) = - 5/5.

m = -1
Therefore  slope, m = -1.
  So it is option B.

What is the formula for a counterclockwise rotation of 180°?!?!

Answers

Answer: A (x,y) is your original. Your answer after would be A' (-x,-y) you would change the sign. If its negative it becomes positive, and if it'd positive it becomes negative.

Answer: you change both signs to the opposite

Step-by-step explanation: