part A: Write the measure of each exterior angle directly on the diagram.

part b:What is the sum of the exterior angles of this pentagon?

Answer:

a

Step-by-step explanation:

substitute n = 5 into the explicit formula , then

a₅ = 4 + (5 + 1)(- 5) = 4 + 6(- 5) = 4 - 30 = - 26

Answer:

6 units

Step-by-step explanation:

since the y- coordinates of both points are 7 then the horizontal distance between the points is the absolute value of the difference in the x- coordinates , that is

d = | 9 - 3 | = | 6 | = 6 units , or

d = | 3 - 9 | = | - 6 | = 6 units

Answer:

the distance is 4

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

scale factor = 1.2

Step-by-step explanation:

the scale factor is the ratio of corresponding sides image to original, that is

EZYD → TRAP

corresponding sides are the comparable sides on both , that is

EZ → TR

then

scale factor = [tex]\frac{EZ}{TR}[/tex] = [tex]\frac{12}{10}[/tex] = 1.2

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

let n be the number , then

[tex]\frac{1}{3}[/tex] n = [tex]\frac{1}{2}[/tex] ( multiply both sides by 3 )

n = 3 × [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

[tex] \frac{13x}{7 } + \frac{6}{7} = 0[/tex]

Answer:

The slope of the line is: M = 0

Step-by-step explanation:

Using the "Slope from 2 points" formula which is \/

M = (y2 - y1) / (x2 - x1)

We just need to input the numbers to find the slope!
M = ( 1 - 1 ) / (1 - - 2 )

Now solve within the parentheses:

M = ( 0 ) / ( 3 )

Which is basically just 0.

I hope the formula: M = ( y2 - y1) / (x2 - x1)

Helps you in the future so you wont have to ask questions like this again.

.90° + 45° + x = 180°

{Sum of angles of triangles = 180°}

135° + x = 180°

x = 45°

61° + 90° + x = 180

151 + x = 180

x = 29°

31° + 90° + x = 180°

122° + x = 180°

x = 58°

x + 15° +90° = 180°

x = 180° - 105°

x = 75

~Tulpe⚘

The chronological order of the events described is: Earliest record of the Chinese Lo Shu magic square, Hypatia becomes the head of the Platonist School, Aryabhata writes the famous aryabhatiya, The discovery of the Fibonacci Sequence, Florence Nightingale develops the polar area diagram, and First African American woman to visit space.

To classify events chronologically we must know the date on which they occurred.

The chronological organization can be from the oldest event to the most recent or vice versa. In this case the organization of the events will be done from the oldest to the most recent.

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Answer:

∠ FCE = 37°

Step-by-step explanation:

the secant- secant angle FCE is half the difference of the intercepted arcs, that is

∠ FCE = [tex]\frac{1}{2}[/tex] (BD - FE ) = [tex]\frac{1}{2}[/tex] (112 - 38)° = [tex]\frac{1}{2}[/tex] × 74° = 37°

Answer:

Center= (-6,-8)

Radius= 6

Step-by-step explanation:

We use the formula (x-h)^2+(y-k)^2 then plug in our numbers:

[tex](x - h)^2 + (y - k)^2 = r^2\\(x+6)^2 +(y-k)^2=36[/tex]

In the equation -h is 6 so our h (x-coordinate) is -6

In the equation -k is 8 so our k (y-coordinate) is -8

In the equation r^2 is 36 so we take the square root of 36 to get r which is 6.

Answer:

A.a .gov or .org website on green roofs

b.an article from a government organization on how green roofs improve air quality

d. newspaper articles reporting on how green roofs absorb heat in cities

Step-by-step explanation:

because i did it

Answer:

abd

Step-by-step explanation:

The theoretical probability that the arrow will hit the small square on the upper left is approximately 9.8%. (Option A)

To determine the theoretical probability, we first need to calculate the areas involved. Let's start by finding the area of the entire circular target. The formula for the area of a circle is given by A = π * r², where 'r' is the radius. Plugging in the given radius (36 inches) into the formula:

A_circle = π * (36 inches)² ≈ 4069.73 square inches.

Next, we need to calculate the area of the small square in the upper left corner. Since the square is positioned at a corner of the circle, it forms a quarter of a circle. The area of this quarter circle can be calculated as follows:

A_quarter_circle = ¼ * A_circle. = ¼ * 4069.73 = 1017.43

Now, let's find the area of the square. The formula for the area of a square is A_square = side², where 'side' is the side length. Plugging in the given side length (5 inches) into the formula:

A_square = (5 inches)² = 25 square inches.

However, there are four identical squares inside the quarter circle, so the total area of all the squares combined is:

Total_Area_squares = 4 * A_square.

Now, to calculate the probability of hitting the small square in the upper left corner, we divide the area of that square by the area of the quarter circle:

Probability = (A_square / A_quarter_circle) * 100. = 25 / 1017.43 * 100 =  9.8%.

Hence the correct option is (a).

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Answer:

13 feet

Step-by-step explanation:

if we assume the angle on the ground to the truck is a ninety degree angle

The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The angle ∠DEG = 51° and angle ∠GEF = 39°.

Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have

We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.

The sum of the angle ∠DEG and ∠GEF will be

∠DEF = ∠DEG + ∠GEF

∠DEF = 51° + 39°

∠DEF = 90°

Then the triangle ΔDEF will be a right-angle triangle.

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Answer:

80 pupils

Step-by-step explanation:

60% of 200 is 120
200 - 120 is 80.

Answer:

5/10

Step-by-step explanation:

Answer:

m = 6.557

Step-by-step explanation:

Subtract 10 from both sides:

4m^2 = 172

Divide both sides by 4:

m^2 = 43

take the square root of both sides:

[tex]\sqrt m^2 = \sqrt{43[/tex]

m = 6.557

Does that make sense?

Answer:

Step-by-step explanation:

How Do You Determine Whether Values in a Table are Proportional? To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Answer:

36

Step-by-step explanation:

A ratio 4:6 means the one quantity is 4/10 of the full thing:

While the other quantity is 6/10 of the full thing

So the smaller angle will be 4/10 of the the complementary angle.

Complementary angle is 90.

So 4/10 of 90 is 36.

Answer:

D.the population change is inconsistent

Using Pythagoras theorem:-

H²= P²+ B²

Putting the value in equation

[tex] {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83[/tex]

Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.

The surface area of a sphere of radius r is given by:

[tex]S_A = 4\pi r^2[/tex]

In this problem, we have that:

[tex]S_A = 452.16[/tex]

Hence:

[tex]4\pi r^2 = 452.16[/tex]

[tex]r = \sqrt{\frac{452.16}{4\pi}}[/tex]

r = 6.

The radius of the bearing that Helen needs to buy is of 6 millimeters.

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Answer: 6

Step-by-step explanation: NOT NEEDED

The measure of angle HIJ is 20°. The correct option is the last option 20°

From the question, we are to determine the measure of angle HIJ

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference

From the information,

The measure of arc HJ is 40°. That is, the angle at the center is 40°.

Then, using the above theorem,

Measure of angle HIJ = 40° / 2

Measure of angle HIJ = 20°

Hence, the measure of angle HIJ is 20°. The correct option is the last option 20°

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Answer:

20°

Step-by-step explanation:

Answer:

s < 50

Step-by-step explanation:

This is an inequality that can be used to express the amount of flowers planted. If Jones planted s flowers, Kerry planted 50, and Jones planted less flowers than Kerry, s must be less than 50.

Answer:

f(x) = 23.5

Step-by-step explanation:

The slope when in the 4th quadrant is at 4,100

Using a trigonometric identity, considering the given value of the tangent of theta, the secant of the same angle is given by:

[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]

According to the following identity:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

In this problem, the tangent squared is given as follows:

[tex]\tan^2{\theta} = \frac{3}{8}[/tex]

Hence the secant is given by:

[tex]\sec^{2}{\theta} = 1 + \tan^2{\theta}[/tex]

[tex]\sec^{2}{\theta} = 1 + \frac{3}{8}[/tex]

[tex]\sec^{2}{\theta} = \frac{11}{8}[/tex]

[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]

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Answer:

Plus-or-minus StartRoot eleven-eighths EndFraction

Step-by-step explanation:

The answer above is correct.

Answer:

6

Step-by-step explanation:

1+3=4

8÷4=2

Kindergarten = 2×1 =2

Other class = 2×3=6

Ratio of kindergarten classes to other classes is 2:6