The pre-image of pentagon PENTA is rotated 90° clockwise about the origin to create the image of pentagon P'ENTA. Which statement is true?



A. The sum of the angle measures of pentagon PENTA are less than the sum of the angles measures of pentagon P'ENTA

B. After the rotation has been completed, all of the coordinates of the image will be in Quadrant

C. Each side length of pentagon P'ENTA' is twice as long as each corresponding side length of pentagon PENTA.


D. The area of pentagon PENTA is the same as the area of pentagon P'E'NTA​

Answer:

A=πr2=π·52≈78.53982m²

Step-by-step explanation:

Answer:

78.57 m^2

Step-by-step explanation:

answer is 78.57

Answer:

area of shaded region =total area - outer shaded area

Answer:

udvugeciiffhi3fo

Step-by-step explanation:

bc whcehfiwhidheihgeigdi2iwg

Answer:

m < -6 or m > 8

Step-by-step explanation:

m - 2 < -8

Add 2 to both sides of the inequality.

m < -8 + 2

m < -6

m/8 > 1

Multiply both sides of the equation by 8

m/8 ⋅ 8 > 1 ⋅ 8

Simplify.

m > 8

good luck, i hope this helps :)

Answer:

15 points

Step-by-step explanation:

The start and end point of the caterpillar path are;

Start point = (-3, -4)

End point = (25, 38)

The slope of the caterpillar's path, 'm', given the 'x', and y-coordinates of two points is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, m = (38 - (-4))/(25 - (-3)) = 1.5

The equation of the caterpillar's path in point and slope form is given as follows;

y - (-4) = 1.5 × (x - (-3))

y + 4 = 1.5 × (x + 3)

y + 4 = 1.5·x + 4.5

y = 1.5·x + 4.5 - 4 = 1.5·x + 0.5

y = 1.5·x + 0.5

Given that the 0.5 is added to the product of 'x' and 1.5, the points that have both integer points for 'x', and 'y' are the points that have odd number values of 'x', as follows;

(-3, -4), (-1, -1), (1, 2), (3, 5), (5, 8), (7, 11), (9, 14), (11, 17), (13, 20), (15, 23), (17, 26), (19, 29), (21, 32), (23, 35), (25, 38)

Therefore, we have 15 points counting the start and end points with integer coordinates

Answer:

3/2

Step-by-step explanation:

find 2 points and go up til you are even with it(3 in this case) this is your rise, then go over to the other point(2 in this case) this is your run, so the slope (rise/run) is 3/2

-Todo <3

Answer:

sum of all angle= 180 given angle = 3 X, 10 X AND 7 X

3X + 10X + 7X = 180

20X = 180

X= 180/20

X = 9

X= 9 IS apply to given angle 3X, 10 X  , 7X

3X = 3 ×9=27

10X = 10 ×9 = 90

7X = 7 ×9 =63

ANS IS 27,90,63

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

WE can see that the X value below is 1 and the Y value is -2

Answer:

(2,32)

(3,48)

Step-by-step explanation:

2×16=32

3×16=48

Step-by-step explanation:

A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;

(x + 7)  + (x² - 2x ) + (x +3)  + (2x - 2) = 43

x² - 2x + 4x + 8 = 43

x²  - 2x - 35 = 0

Upon solving for x by factorization;

( x - 5) ( x + 7) = 0

The values of x are; 5 and - 7

Since the side of shape cannot have a negative value, -7 is ignored.

x = 5

The length of the sides are;

- X+7 = 5 + 7 = 12

- x² - 2x = 5² - 2(5) = 25 - 10 = 15

- X+3  = 5 + 3 = 8

2x-2 = 2(5) - 2 = 10 -2 = 8

Check:

8 + 8 + 15 + 12 = 43

Answer:

C≈9.42cm

Step-by-step explanation:

This is the correct answer for your question

Answer:

3.71

Step-by-step explanation:

Answer:

1296 sorry if im wrong

Step-by-step explanation:

:):):):):):):):):):):):):):):):):):):):):):):)

Answer:

f(x)=-7x-5

f(6)=-7(6)-5

f(6)=-42-5

f(6)=-47

Answer:

it's really hard to see the numbers.. but I can explain how to do it. the 5 is on the x axis and the 0 is on the y axis. if you from 0 to 5 on the x axis and the line crosses through that point then it is true.

Answer:

area of the square = (SIDE)2

=( 4)^2

= 16 answer

Answer:

There are 208 ounces in 13 pounds :)

Answer:

208 oz

Step-by-step explanation:

1 lb = 16 oz

Where you see 1 lb, substitute it with 16 oz.

13 lb = 13 * 1 lb = 13 * 16 oz = 208 oz

Answer:

You just said the answers. 54

Step-by-step explanation:

5

Answer: expression, addition, subtraction, divide , math

Step-by-step explanation:

Answer:

If they won 90 out of 162, they won 55.(5)% of their games.

Step-by-step explanation:

I assume they WON 90 of the 162 games.

90/162 = 45/81 = 15/27 = 5/9

5/9 = 55.(5)%; (because 1/9 = 11.(1)%)

Answer:

55.56%

Step-by-step explanation:

1. Put into a fraction = 90/162

2. Simplify = 5/9

3. Calculate the fractions value by dividing the numerator by the denominator.

4. Multiply the answer by 100

5. Simplify

Hopefully this helps!

if 2 quarts=1/2 galleon on the graph.

Then half of 2 quarts will be half of 1/2 galleons.

Therefore 1 quart=1/4 galleons.

Hope it helps!

Step-by-step explanation:

According to the pythagrean equation, it should be

[tex]AC^2 = AB^2 + BC^2\\[/tex]

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

Answer:

[tex]a=\dfrac{1}{5}[/tex] and b = 1

Step-by-step explanation:

Given that,

[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]

We need to find the value of a and b.

We should compare both sides of the above equation i.e.

[tex]a=\dfrac{1}{5}[/tex]

and

b = 1

Hence, the values of a and b are 1/5 and 1 respectively.

Answer:

x = 2 and x = -1/5

Step-by-step explanation:

Factors into (x-2)(5x+1) = 0 and you have your two values for x.

Or solve by quadratic formula [tex]x = \frac{-(-9) \pm \sqrt{9^{2} - 4(5)(-2)} }{2\cdot5} \\x = \frac{9 \pm 11}{10}.\\[/tex]

Two values, [tex]x = \frac{20}{10} = 2\\x = \frac{-2}{10} = -1/5[/tex]

Answer:

sry i dont know

Step-by-step explanation:

lolz

Answer:

64.6x

Step-by-step explanation:

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that [tex]P(A) = 0.55[/tex]

20% like winter season

This means that [tex]P(B) = 0.2[/tex]

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]

Proportion who like both:

This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Using what we have

[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

[tex]0.15t = 750[/tex]

[tex]t = \frac{750}{0.15}[/tex]

[tex]t = 5000[/tex]

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.

Answer:

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