how many pairs of each type of angles do two lines and a transversal form? vertical angles

Answers

Answer 1

The number of pairs of angles formed are about 7 types.

What are the Pairs of Angles Formed by a Transversal and Two Lines?

In the image given, when transversal t crosses the two lines, a and b, 8 angles are formed.

The pairs of angles formed are:

Vertical angles, for example, angles 2 and 4.Linear pair angle, for example angles 1 and 2.Corresponding angles, for example angles 1 and 5.Alternate interior angles, for example angles 4 and 5.Alternate exterior angles, for example angles 1 and 8.Same-side interior angles, for example angles 3 and 5.Same-side exterior angles, for example angles 2 and 8.

Therefore, there are about 7 types of pairs of each type of angles formed.

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How Many Pairs Of Each Type Of Angles Do Two Lines And A Transversal Form? Vertical Angles

Related Questions

I need help with this ASAP! (will be giving brainliest to the correct answer.

Answers

The solution is

a) The motor boat traveled a displacement of

b) The velocity of the tugboat

c) The negative distances and velocities means the boat is traveling down a river

What is Velocity?

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time. It is a vector quantity. Velocity is the change in displacement of an object with respect to time

Velocity = Displacement / Time

Given data ,

Some boats are traveling up and down a river

So , when the boat is traveling up a river , the velocity will be positive and when the boat is traveling down a river , the velocity will be negative

a)

The velocity of motor boat = - 3.4 mph

The time taken by the boat = 0.75 hours

Velocity = Displacement / Time

Substituting the values in the equation , we get

Displacement = Velocity x Time

Displacement D = - ( 3.4 ) x 0.75

On simplifying the equation , we get

Displacement D = -2.55 miles

Therefore , the boat traveled -2.55 miles down

b)

The displacement of the tugboat D = -1.5 miles

The time taken by the tugboat T = 0.3 hours

So , velocity of the tugboat V = ( -1.5 ) / 0.3

On simplifying the equation , we get

Velocity V = -5 mph

Therefore , the velocity of the tugboat is -5 miles per hour

c)

When the boat is traveling down a river , the velocity will be negative

Hence , the equations are solved

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What are the measurement’s of questions 1,2 and 3

Answers

Angles in parallel lines are formed when two parallel lines intersect with another line known as a transversal. So here ∠y is 40° and ∠z is 140°.

What are the angles over parallel lines?Parallel lines form a pair of angles when cut by a transversal. As a result, corresponding angles are equal, as are alternate interior angles, alternate exterior angles, vertical angles, and the sum of interior angles on the same side of the transversal.

We know that sum of angles over a straight line is 180°

So here ∠x + 140° = 180°

So ∠x = 180 - 140

Therefore ∠x = 40°

So in this figure ∠x = ∠y , Since they are corresponding angles are equal.

Therefore ∠y = 40°

So ∠z will be 140° . Since ∠y = 40° its opposite angle will also be 40°.

So ∠z + 40° = 180°

Therefore ∠z = 140°

So the angles ∠y = 40° and ∠z = 140°.

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The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes. Question content area bottom Part 1 The area of the rectangle as a sum of cubes is enter your response here. x^2-3x+9 x+3

Answers

The area of the rectangle represented as the sum of cubes is x³ + 3³

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

The sum of cubes of a polynomial is in the form a³ + b³ while A the difference of cubes of a polynomial is a³ - b³

The area of rectangle = length * width

From the diagram, length = x² - 3x + 9; width = x + 3, hence:

The area of rectangle = length * width = (x² - 3x + 9)(x + 3)

Area = x³ - 3x² + 9x + 3x² - 9x + 27 = x³ + 27

Area = x³ + 3³

The area of the rectangle is x³ + 3³

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given: ab=bc, ae=fc
prove m rsm problem pls help

Answers

The triangles ∆AEC ≅ ∆AFC by Side-Angle-Side theorem

How to determine the proof of the triangles

The complete question is added as an attachment

With the given information and the image attached below, we can state that the two triangles are congruent by SAS,

Then go ahead to use the CPCTC to show that any of their corresponding parts are congruent as well.

The proof is given as:

Statement Reason

1. AB ≅ BC, AE ≅ FC 1. Given2. AC ≅ AC 2. Reflexive property of congruence3. <BAC ≅ <BCA 3. Base angles of isosceles ∆BAC4. ∆AEC ≅ ∆AFC. 4. SAS5. <AEC ≅ <AFC. 5. CPCTC

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Which describes a relationship that varies directly?
t = 85-5h, where t represents temperature and h represents number of hours between temperature readings
b = 1.2m + 120, where b represents the bank account balance and m represents the number of months
C = 12k, where C represents the cost on the electrical bill and k represents the electricity used
T = 120, where T represents the time to prepare dinner for a dinner party​

Answers

C = 12k, where C represents the cost on the electrical bill and k represents the electricity used is a relationship that varies directly. Option C is correct.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
A standard directly proportional relationship is given as,
y = kx

Now,
comparing the above equation with the equation among the option,
If the equation in options matches with the above equation, so that equation will be a relationship that varies directly.

Thus, C = 12k, where C represents the cost on the electrical bill and k represents the electricity used is a relationship that varies directly. Option C is correct.

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According to the frequency chart below, how many people have a dog or cat as their favorite pet?

Answers

Answer:

22

Step-by-step explanation:

as you can see at the bottom, they have added up all of the tallies. so all you need to use addition to add 10 + 12 which is equal to 22.

Which answers describe the shape below? Check all that apply.
0
A. Rectangle
B. Rhombus
C. Parallelogram
D. Trapezoid
E. Quadrilateral
F. Square

Answers

Answer:

Rectangle, parallelogram, trapezoid, quadrilateral

Step-by-step explanation:

because the properties of the rhomboid(that is what it is called) match with those different shapes listed above

Answers: check mark means to select ONLY these answers.

✓ B. Rhombus

✓ C. Parallelogram

✓ E. Quadrilateral

please help me with math i’ll give you brainlist

Answers

Answer:

it's a function

Step-by-step explanation:

to test if it's a function or not you do the vertical line test if it intersects the function at more than one point then it's not a function,, but here in the given function when you do the vertical test it'll only intersect it at one point so it's a function

Oki and Stephen are making bags of trail mix to sell. Oki’s trail-mix recipe requires 3 cups of nuts and 3 cups of dried fruit per bag. Stephen’s trail-mix recipe requires 4 cup of nuts and 2 cups of dried fruit per bag. Together, they want to make as many bags of trail mix as possible. They have exactly 120 cups of nuts and 90 cups of dried fruit. Find the maximum number of bags of trail mix Oki and Stephen can make together.

Answers

Oki and Stephen can only produce 0.75 bags of trail mix in total.

How can division be used?

Two numbers can have a division symbol (") added between them to indicate that they have been divided. Therefore, we can write 36 6 if we need to demonstrate the division of 36 by 6. A fractional representation is 366, which we can also use.

Compared to multiplication, division is the opposite. When you divide 12 into three equal groups, you get four in each group if three groups of four add up to 12, which they do when you multiply.

The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

According to question:-

3/3 : 4/2 =1:2

90/120 = 0.75.

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George is 48 inches tall and growing at a rate of 2 inches a year his sister is 42 inches tall and growing at a rate of 3 inches in a year if their growth rate continues how long will it be before Georgia sister is taller than he is

Answers

Answer: It will take 7 more years for George’s sister to be taller than him.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 years

The difference of twice a number and three is -21
Write into an equation

Answers

Answer:

Step-by-step explanation:

2n -3 =-21

2n-3+3=-21+3

2n=-19

n=-9.5

The undergraduate
grade point
averages (UGPA) of students taking
an admissions test in a recent year
can be approximated by a normal
distribution, as shown in the figure.
(a) What is the minimum UGPA that
would still place a student in the top
10% of UGPAS?
(b) Between what two values does the
middle 50% of the UGPAS lie?

Mean=3.24
Std.=0.17

Answers

a) The Corresponding minimum UGPA = 3.70

b) The range of middle 50% values will be: (3.28, 3.52).

What is the z-score?

A z-score (also known as a standard score) is a measure of how many standard deviations an individual data point is from the mean of a distribution. A z-score is calculated by subtracting the population mean from an individual data point, and then dividing that number by the population standard deviation.

a) z score corresponding to top 5% area = 1.645

Hence,

Corresponding minimum UGPA = 3.40 + 1.645*0.18 = 3.70

b) z score corresponding to middle 50% area = -0.67, 0.67

Hence,

The range of middle 50% values will be:

(3.40 - 0.67*0.18, 3.40 + 0.67*0.18)

(3.28, 3.52)

Hence,

a) The Corresponding minimum UGPA = 3.70

b) The range of middle 50% values will be: (3.28, 3.52).

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HELP ME PLEASE!!
i need to find the j and k values and if you could explain that would be amazing!! Please and thank youu!! :))

Answers

Answer:

[tex]j = \dfrac{9}{2} = 4,5 \\\\\\k = 2[/tex]

Step-by-step explanation:

I am working on the assumption that the figure shown is a parallelogram, otherwise my answer will not be valid

The diagonals of a parallelogram bisect each other

In the above figure, the top left-bottom right diagonal is bisected by the top right  - bottom-left diagonal


This means

[tex]3j = 5j - 9[/tex]

Subtract 5j from both sides:

[tex]3j - 5j = -9[/tex]

[tex]-2j = -9[/tex]

[tex]j = \dfrac{-9}{-2} = \dfrac{9}{2} = 4,5 \\[/tex]
I am not sure if you want it in fraction or decimal

Similarly

[tex]k + 10 = 6k\\\\[/tex]

Subtract k from both sides:
[tex]10 = 6k-k\\\\\\10 = 5k\\\\\\\textrm{Switching sides,}\\5k = 10\\\\k = \dfrac{10}{5} = 2\\\\[/tex]

Which compound inequality is represented by the graph?

Answers

Answer:

the third one

Step-by-step explanation:

an open circle means it does not include that number. therefore, it needs to be x is less than -2. a closed circle means it includes that number. therefore, x is greater than or equal to 4

Which of the following are irrational numbers?



Choose the two correct answers.

Responses

100−−−√ 100 ⁢ ,

28−−√ 28 ⁢ ,

11−−√ 11 ⁢ ,

2.78¯¯¯¯

Answers

The value of an irrational numbers are,

⇒ √28

⇒ √11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The numbers are,

⇒ √100

⇒ √28

⇒ √11

⇒ 2.78⁻⁻⁻

Now, We know that;

An irrational number is a number that cannot be expressed as a fraction for any integers.

Hence, We get;

The correct value of an irrational numbers are,

⇒ √28

⇒ √11

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Two angles are complementary. The larger angle is 50∘ more than the smaller angle. Find the measure of the larger angle.

Answers

The measure of the smaller complementary angles is 40°

What are complementary angles

When two angles add up to 90°, we say they complement each other in terms of mathematics. Hence in geometry, complementary angles are defined as two angles whose sum is 90 degrees.

The larger angle = 50°

we shall represent the smaller angle with the letter x so that;

x + 50° = 90°

subtract 50° from both sides of the equation

x + 50° - 50° = 90° - 50°

x = 40°

Therefore, the smaller complementary angle has a measure of 40°.

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The number of men and women receiving​ bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of​ 2014, the number of men receiving degrees​ (in thousands) is given by the equation y=3.6x+442​, and for​ women, the equation is y=14.3x+318​, where x is the number of years after 1970


PLEASE HELP IS AN EMERGENCY

Answers

The solution to the system of equations for this problem is given as follows:

(11.59, 479).

How to solve the system of equations?

The system of equations for this problem is defined as follows:

y = 3.6x + 442.y = 14.3x + 318.

The solution for x is obtained when the two equations are equal, hence:

14.3x + 318 = 3.6x + 442

10.7x = 124

x = 124/10.7

x = 11.59.

Applying the substitution in any of the equations, the solution for y is obtained as follows:

y = 3.2(11.59) + 442

y = 479.

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Four consecutive even integers sum to 332. Which integers are they?

Answers

Answer:

86

Step-by-step explanation:

let the numbers be x,x+2,x+4,x+6

Then x+x+2+x+4+x+6=332

4x=332-12=320

x=320/4=80

so numbers are 80,82,84,86

Answer:86

Step-by-step explanation:

The parent function f(x) = 1.5x is translated such that the function g(x) = 1.5x + 1 + 2 represents the new function. Which is the graph of g(x)?

Answers

20
1+2=2334
1.5x + g(x)=1.5x+1+2

What shape results from a plane passing through a cone that is perpendicular to the base?

Isosceles Triangle
Circle
Parabola
Ellipse

Answers

The shape that results from a plane passing through a cone that is perpendicular to the base is a B. Circle

How is the Circle Formed?

A circle intersects a cone when a plane passes through it perpendicular to the base. This is due to the plane cutting through the cone's circular cross-section at a 90-degree angle to the base of the cone.

As a result, if the plane were to be slanted or angled, the intersection would have the shape of an ellipse, which is a circle that has been flattened.

This is due to the fact that an ellipse is the shape created when a plane crosses a cone at an angle other than perpendicular to the base.

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Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. Her eye level is 5½ feet above the ground. Approximately how far out from the cliff is Catarina’s boat? Round to the nearest foot.

Answers

If Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. Approximately the distance from the cliff is Catarina’s boat is : 63.6ft.

What is distance?

Distance can be defined as how far an object is from another object.

Now let find the distance:

AE/CD = BC/DE

Hence,

5.5/3.5 = 10/DE

Cross multiply

AE = 350/5.5

AE = 63.6ft

Therefore we can conclude that the distance is 63.6ft.

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Pls help needed tyyy who lives farther? Easy

Answers

Sawyer lives 12.7 km farther from the soccer field.

How to find who lives farther from the soccer fields?

Jabar lives 5 miles from the soccer fields, Sawyer lives 12.7 km from the same soccer fields .

The person that lives farther form the soccer field can be calculated as follows;

Let's convert Jabar distance from the soccer field to km.

1 miles = 1.60934

5 miles = ?

cross multiply

distance of Jabar from the soccer field = 5 × 1.60934

distance of Jabar from the soccer field = 8.0467 km

Therefore, jabar lives 8.0467 km from the soccer field.

Hence, Sawyer lives 12.7 km farther from the soccer field.

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Which other expression has the same value as(-14)-8 ? Explain your
reasoning.
a. (-14)+8
b. (-14)- (-8)
c. (-14)+(-8)
d. (-14)+ (-8)

Answers

Answer is a

Bc I know it is

2b.) Determine the average rate of change between the
sixth and fourteenth hours, explain what it means in
context of the problem.

Answers

The average rate of change from the sixth to the fourteenth hours indicates that, on average, 15 fewer pairs of shoes were sold every hour.

what is slope ?

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

slope = y2- y1 / x2 - x1

= -120/8  = -15

( 6 , 120 )

( 14 , 0 )

The average rate of change from the sixth to the fourteenth hours indicates that, on average, 15 fewer pairs of shoes were sold every hour.

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Marcella has a red, square tablecloth with a diagonal of ^6 feet. She also has a white, square tablecloth with a diagonal of ^12 feet. Jordan says that the length of the diagonal of the white tablecloth is twice the length of the diagonal of the red tablecloth. Is he correct.

Answers

Answer:

Out of all possible choices you've shown, I'd say the best answer would be C

Step-by-step explanation:

g(x)
10
8
6
4
2
fo
-10-8-64-22
-4
-6
-8
-10
f(x)
2 4 6
8 10 x
What is the equation of the translated function, g(x), i
f(x) = x²?
g(x) = (x-4)² +6
Og(x) = (x + 6)²-4
g(x) = (x-6)²-4
Og(x) = (x+4)² + 6
O

Answers

Therefore , the solution of the given problem of function comes out to be g(x) is given by g(x) = (x-4)² + 6

What does the term function refer to?

The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input. Each function is given a city, town, or scope, which is frequently referred to as a realm.

Here,

Given the graph of the original function f(x), whose vertex is at (0, 0), and indeed the graph of the translating function g(x), whose vertex is at (0, 0), (5, 2).

Be aware that the translated function's vertex is 2 units higher and 5 units to the right of the f graph's graph (x).

The function f(x) is then translated 5 units toward the right и 2 units up to arrive at g(x).

Recall that provided a function, f(x), is characterized as a parabola with a vertex at (h, k).

=> f(x) = (x-h)² + k

The outcome of translating a unit to the right with b unit up is

=>f'(x) = (x-h-a)² + k + b

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A school uses a phone tree to communicate updates to families.​ First, the 3 school administrators decide when an announcement is needed. They each call 5 people in the first round of calls.​ Then, each of those people calls 5 people in the second round. In every​ round, each person who received a call in the previous round makes calls to 5 new people. Let x be the number of​ rounds, and let y be the number of people called during the round. Write and graph a function that models this situation. Label the​ y-intercept, and explain what it represents.

Answers

The exponential function that models this situation is given as follows:

y = 3(5)^x.

The y-intercept of the exponential function represents the number of people that were called by the administrators.

The graph of the exponential function is given by the image presented at the end of the answer.

How to define the exponential function?

The general format of an exponential function is given as follows:

y = a(b)^x.

In which:

a is the initial value.b is the rate of change.

First, the 3 school administrators decide when an announcement is needed, hence the parameter a, representing the y-intercept, is given as follows:

a = 3.

In each round, each person inserted into the conversion calls 5 more people, hence the parameter b is given as follows:

b = 5.

Meaning that the function is defined as follows:

y = 3(5)^x.

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The first and second terms of an exponential sequence (G.P.) are the first and third terms of a linear sequence (A.P.). The fourth term of the linear sequence is 10 and the sum of its first five terms is 60. Find the first four terms of the linear sequence.​

Answers

Answer:

Step-by-step explanation:

A typical geometric sequence can be represented as

c

0

a

,

c

0

a

2

,

,

c

0

a

k

and a typical arithmetic sequence as

c

0

a

,

c

0

a

+

Δ

,

c

0

a

+

2

Δ

,

,

c

0

a

+

k

Δ

Calling

c

0

a

as the first element for the geometric sequence we have

c

0

a

2

=

c

0

a

+

2

Δ

First and second of GS are  the first and third of a LS

c

0

a

+

3

Δ

=

10

The fourth term of the linear sequence is 10

5

c

0

a

+

10

Δ

=

60

The sum of its first five term is 60

Solving for

c

0

,

a

,

Δ

we obtain

c

0

=

64

3

,

a

=

3

4

,

Δ

=

2

and the first five elements for the arithmetic sequence are

{

16

,

14

,

12

,

10A typical geometric sequence can be represented as

c

0

a

,

c

0

a

2

,

,

c

0

a

k

and a typical arithmetic sequence as

c

0

a

,

c

0

a

+

Δ

,

c

0

a

+

2

Δ

,

,

c

0

a

+

k

Δ

Calling

c

0

a

as the first element for the geometric sequence we have

c

0

a

2

=

c

0

a

+

2

Δ

First and second of GS are  the first and third of a LS

c

0

a

+

3

Δ

=

10

The fourth term of the linear sequence is 10

5

c

0

a

+

10

Δ

=

60

The sum of its first five term is 60

Solving for

c

0

,

a

,

Δ

we obtain

c

0

=

64

3

,

a

=

3

4

,

Δ

=

2

and the first five elements for the arithmetic sequence are

{

16

,

14

,

12

,

10

I NEED HELP ASAP WITH THIS MATH HOMEWORK PLEASE

Answers

Answer: 1. 7a 2. 5r 3. 8y+4 4. 12m-7 5. 7u+5 6. 8q+6 7. 3w+5x 8. 4j + 4k 9. 5d+6

Step-by-step explanation: Add the coefficients of the terms with same variables. ex. 5a+4a+7... 5a and 4a have same variable which is a so add the 5 and 4 and you get 9a and the 7 doesn't match so leave it out and you get 9a + 7

Answer:

1) 7a

2) 5r

3) 8y +4

4) 12m-7

5) 7u+5

6) 8q+6

7) 3w+5x

8) 4j +4k

9) 5d+6

Step-by-step explanation:

you just add or subtract the number with the same letter after it (if there is no letter just leave it as is, unless there are two or more numbers with no letter after, then add or subtract as normal)

7 = 3(5 + x) solve for x

Answers

Answer: x = -8/3

Step-by-step explanation:

7 = 3(5+x)

3(5+x)=7

apply the distributive property

15+3x=7

rearrange the variables to  the left side of the equation

3x=7-15

3x=-8

divide on both sides

x=-8/3

Answer:

x = -8/3

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 7 = 3(5 + x)

Then the value of x will be,

→ 7 = 3(5 + x)

→ 7 = 3(5) + 3(x)

→ 7 = 15 + 3x

→ 7 - 15 = 3x

→ -8 = 3x

→ 3x = -8

→ [ x = -8/3 ]

Hence, the value of x is -8/3.

Other Questions
why is bile produced what was the largest single influence on the texas constitution of 1876? nterprise data mashups are created using _______ bi because new data sources can be added to a bi system quickly via direct links to operational data sources cleaning all of the following except one are factors that will tell you whether you are ready to review a publication or whether you need to have the draft evaluated or tested. Based on stimulation studies, the "headquarters" of the reticular activating system appears to be based in theA)medulla.B)cerebrum.C)diencephalon.D)pons.E)midbrain. All of the following are types of general purposes in public speaking except: a. entertaining. b. updating. c. persuading. d. informing. f the temperature of my trademarked soft drink is 23f after 1 hour in the refrigerator, what is the value of the coefficient ? What is the difference in between static electricity and current electricity? A rigid massless rod of length2hl has two masses attached art each end as shown in the figure. The rod is pivoted at point P on the horizontal position, its instantaneous angular acceleration will be: a. g/21b. 7g/31c. g/131d. g/31 Explain ONE example of a scientific development that affected populations around the world between 1900 and the present. write a balanced half-reaction describing the oxidation of solid iron to aqueous iron(ii) cations. the two main plots in to kill a mockingbird are concerning atticus defending an african american and the mystery of _____. The following items are unaffected by the RTC reset: O Service Tag O Asset Tag O HDD Password O System Password a football is kicked at 18 m/s at an angle of 28o. how far away does it land? environmental, visual, or physical distractions, not listening/daydreaming, or language/cultural differences are all examples of communication _____________. in finding 90 nd 95onfidence intervals for a random sample of 30 students' gpas, one interval was (2.55, 3.05) and the other was (2.60, 3.00).. How would a 99% interval compare? Would it be narrower than both, wider than both, or between the two inwidth? Explain. b. If we wanted to use a 99% confidence level and get a narrower width, how could we change our data collection? a. Choose the correct answer below. OA A 99% interval would be narrower than both-the value oft for a 99% interval is less than both that for a 90% interval and that for a 98% interval OB. A 99% interval would be wider than a 95% intoral and narrower than a 90% intervalthe value oft* for a 99% interval is less than that of a 90% interval but greater than that of a 95% Interval OC. A 99% interval would be wider than a 90% interval and narrower than a 95% intervalho value of t* for a 99% interval is greater than that of a 90% interval but less than that of a 95% interval OD. A 99% interval would be wider than both-the value of t for a 99% interval is greater than both that for a 90% interval and that for a 95% interval b. Choose the correct answer below 13 O A Increase the value of B. Manually reduce the sample standard deviation OC. Increase the number of observations by an appropriate amount OD. Decrease the number of observations by an appropriate amount FILL IN THE BLANK The same restriction enzymes are used to ____ a piece of DNA called donor DNA _____ a gene of a different organism, such as the gene that produces insulin or growth hormone. ILL GIVE BRAINLIEST!!!Two input-output pairs for function f(x) are (6,52) and (1,172). Two input-output pairs for function g(x) are (2,133) and (6,1). Paige says that function f(x) has a steeper slope. Formulate each function to assess and explain whether Paige's statement is correct. (4 points) An agent moves from one broker-dealer to another. Notification of the change of employer must be made by the: A. agent only B. agent and new broker-dealer C. old broker-dealer and new broker-dealer D. agent, old broker-dealer and new broker-dealer Calculate the resistance of a platinum wire that is 2 m in lenth and has a diameter of 0.1cm. The resistivity of platinum at 25 deg C IS 9.83 X 10^-6 OHMS-CM. What implications dose this result have for the construction of a resistance thermometer useing platinum?