Which statements about the angles of the triangle are true? check all that apply. a triangle has angles 6, 7, 8. angle 7 has an exterior angle of 1. a diagonal line extends from angle 8 to form angle 2. angle 6 has exterior angle 5. the line extends to form angles 3 and 4. angle 1 is an exterior angle. angle 2 is an exterior angle. angle 4 is an exterior angle. angle 7 is an adjacent interior angle. angle 6 is an adjacent interior angle. it is adjacent to the exterior angle 4. angles 6 and 8 are remote interior angles to the exterior angle 1. angles 6 and 7 are remote interior angles to the exterior angle 2. angles 7 and 8 are remote interior angles to the exterior angle 4.

Answers

Answer 1

All the statements are true about the triangle except

1. a diagonal line extends from angle 8 to form angle.

According to the statement

There is a triangle has angles 6, 7, 8 and there are also some statements are given that matched with the triangle.

But the statement

1. a diagonal line extends from angle 8 to form angle.

is not true because it is not possible to extend a diagonal line from angle 8.

So, All the statements are true about the triangle except

1. a diagonal line extends from angle 8 to form angle.

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Related Questions

The Westminster Widget Company has an old machine that can produce 50 widgets in five hours. Now they have purchased a
new machine that can produce 30 widgets in two hours. Working together, how long will it take the two machines to produce
100 widgets?
4 hours
16 hours
hour
8 hours

Answers

Answer:

If they worked together it would take 4 hours for the machines to produce 100 widgets

Step-by-step explanation:

w = widgets     hr = hour     ph = per hour

Old machine - 50w = 5hr = 10ph

New machine - 30w = 2hr = 15ph

Old machine - 20w = 2hr

New machine - 30w = 2hr

Together  - 50w = 2hr x 2              Final:  100w = 4hr

     I hope this helped!

hallar el valor de ab datos: bc= 4,5 cm de= 2cm ef= 3 cm

Answers

The measure of ab and df are 3cm and 7.5cm respectively

Similarity theorem of shapes

In order to determine the missing sides, we need to take the ratio of the similar sides as shown:

1) ab/de = ac/df

ab/de = ab+bc/df

Substitute the given values

ab/2 = ab+4.5/2+3

ab/2 = ab+4.5/5

2(ab+4.5) = 5ab
2ab+9=5ab

3ab = 9

ab = 3cm

Hence the measure of ab is 3cm

2) ae/ce = bf/df

24/9 = 20/df

24df =. 9(20)

24df = 180

df = 7.5cm

Hence the measure of ab and df are 3cm and 7.5cm respectively

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A translation is shown on the grid below. On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negative 2), (negative 1, negative 2). Triangle A prime B prime C prime has points (1, 5), (1, 1), (4, 1). Which are true statements about the translation? Select 3 options. The sides of the image and pre-image are congruent. The image is turned 90°. The angles in the image are different from the angles in the pre-image. The image is a slide of the pre-image. The image has a different shape than the pre-image. Each point has moved in a different direction. Each point has moved the same number of units.

Answers

Based on the translated image and the original triangle ABC, the true statements are:

The sides of the image and pre-image are congruent.The image is a slide of the pre-image.Each point has moved the same number of units.

What can be said of the translation?

The pre-image of triangle ABC and the image are shown to have sides that are congruent because they are exactly the same. This is why triangle A¹B¹C¹ is a slide of triangle ABC.

In order to form the image, the translation must have been such that each point of the preimage moved the same number of units.

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Answer:

a, d, g

Step-by-step explanation:

i took da test

Members of a lacrosse team raised $1307.50 to go to a tournament. They rented a bus
for $812.50 and budgeted $41.25 per player for meals. Determine the number of
players the team can bring to the tournament.

Answers

Answer:12

Step-by-step explanation:(1307.50-812.50)/41.25 = 12

The lacrosse team can bring 12 players to the tournament.

How to determine the number of players the team can bring to the tournament.

Let's assume the number of players on the lacrosse team is "n."

The total amount raised by the team is $1307.50, and they rented a bus for $812.50. The remaining amount after renting the bus is available for meals.

Amount available for meals = Total amount raised - Bus rental cost

Amount available for meals = $1307.50 - $812.50

Amount available for meals = $495

Now, the budgeted amount per player for meals is $41.25. To find the number of players the team can bring to the tournament, we need to divide the total amount available for meals by the budgeted amount per player:

Number of players = Amount available for meals / Budgeted amount per player

Number of players = $495 / $41.25

Number of players = 12

So, the lacrosse team can bring 12 players to the tournament.

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A machine can pump 15 litres of water in one minute.
How long does it take to pump 900 litres of water

Answers

Answer:

900 liters of water is pumped in 1 hour

Step-by-step explanation:

Time taken to pump 15 liters of water =  1 minute.

Time taken to  pump 1 liters of water  = 1/15 minute

[tex]\sf \text{Time taken to pump 900 liters of water=$\dfrac{1}{15}*900$}[/tex]

                                                             = 60 minutes

                                                             = 1 hour

Emily, Dylan and Ryan sat a Maths test.

The test was marked out of 125

Emily got 1/5 of the 125 marks.

Dylan got 15% of the 125 marks.

Ryan got 23 out of 125 marks.

Who got the highest mark?

Answers

Emily got the highest mark , she got 25 out of 125, Dylan got 18.75 out of 125
emily got the most marks, 1/5=20%, 20 percent of 125 is 25. 15% of 125 is 18.75.

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.
9, 13, 17, 21,....

Answers

This is an arithmetic sequence because there is a common difference between each term.

3) A woman buys 3 dezen eggs. Later she discovers that x of them are broken. How many mang eggs are not broken 3 ) A woman buys 3 dezen eggs . Later she discovers that x of them are broken . How many mang eggs are not broken​

Answers

Answer:

36 - x

Step-by-step explanation:

A woman buys 3 dezen eggs. Later she discovers that x of them are broken. How many mang eggs are not broken

3 = 3

Dozen = 12

x = broken eggs

3 * 12 - x =

36 - x

Please help
Please help
Please help
Please help

Answers

Answer:

57 yd²

Step-by-step explanation:

See image

Which point is the same distance from the y-axis as point G but on the opposite side of the y-axis?

Answers

The point (6, 4) is the same distance from the y-axis as point G(-6, 4) but on the opposite side of the y-axis

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Point G on the coordinate plane is at G(-6, 4).

The point (6, 4) is the same distance from the y-axis as point G(-6, 4) but on the opposite side of the y-axis

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the graph of f(x)=3x what is the value of x when f(x)=9

Answers

Answer:

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

Step-by-step explanation:

Strictly speaking, we need to know the point of [tex]f(x) = 3x[/tex] intersecting [tex]f(x) = 9[/tex]. In other words, we need to solve the equality:

[tex]3x = 9; \\ x = \frac{9}{3}; \\ x = 3[/tex]

Here it is.

Please help with a rational functions equation question.

Answers

We use the properties to form the rational function

How many different ways
can you arrange the letters
in the word SMILE?


PLSSS HELP

Answers

Answer:

120 different ways

Step-by-step explanation:

The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.

1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.

5P5 = 5! / (5 - 5)!

5P5 = 5! / 0!

Zero factorial (0!) is always 1.

So, 5P5 = 5! / 1

5! = 5 × 4 × 3 × 2 × 1

5! = 120

Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.

An Internet service provider allows a certain number of free hours each month and then charges for each additional hour used. Wells, Ted, and Vino each have separate accounts. This month the total hours used by Wells and Ted was 105, and each used all of their free hours. Their total cost was . Vino used 105 hours by himself and had to pay . What is the number of cents charged for each extra hour

Answers

The internet service provider charges 40 cents for each extra hour used.

Also, he provides 40 hours of free service for every account.

Solved using linear equations.

Let the number of free hours provided by the internet service provider be x, and the charge for each extra hour be p cents.

Let the time consumed by Wells, Ted, and Vino be t1, t2, and t3 respectively.

Chargeable time used by Wells = t1 - x.

Cost for Wells = p(t1 - x).

Chargeable time used by Ted = t2 - x.

Cost for Ted = p(t2 - x).

Chargeable time used by Vino = t3 - x.

Cost for Vino = p(t3 - x).

Now, we are given that Wells and Ted, in total used 105 hours, that is, t1 + t2 = 105.

The cost for them together is $10 or 1000 cents.

This can be shown as the linear equation:

p(t1 - x) + p(t2 - x) = 1000.

or, p{(t1 - x) + (t2 - x)} = 1000,

or, p{(t1 + t2) - 2x} = 1000,

or, p(105 - 2x) = 1000,

or, p = 1000/(105 - 2x) ... (i).

Time consumed by Vino is given as 105 hours, thus, t3 = 105.

The total cost to Vino is given as $26 or 2600 cents.

This now can be shown as the linear equation:

p(t3 - x) = 2600,

or, {1000/(105 - 2x)}(105 - x) = 2600 {Substituting t3 = 105, and p = 1000/(105 - 2x)}.

This is the required linear equation in one variable.

It can be solved as follows:

{1000/(105 - 2x)}(105 - x) = 2600,

or, 105000 - 1000x = 273000 - 5200x,

or, 5200x - 1000x = 273000 - 105000,

or, 4200x = 168000,

or, x = 168000/4200 = 40.

Substituting x = 40 in (i), we get:

p = 1000/(105 - 2x),

or, p = 1000/(105 - 2(40)),

or, p = 1000/(105 - 80),

or, p = 1000/25,

or, p = 40.

Thus, the internet service provider charges 40 cents for each extra hour, and he provides 40 hours of free internet on every account.

The provided question is incomplete. The complete question is:

"An Internet service provider allows a certain number of free hours each month and then charges for each additional hour used. Wells, Ted, and Vino each have separate accounts. This month the total hours used by Wells and Ted was 105, and each used all of their free hours. Their total cost was $10. Vino used 105 hours by himself and had to pay $26. What is the number of cents charged for each extra hour?"

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!!!!!! please help!!!!!

select the correct answer from each drop-down menu.
a locker requires a three-digit code to open the lock. the code must contain one letter and two numbers, and no letter or number car
repeated. you can choose from among four letters, a, b, c, and d, and two numbers, 5 and 6.
the size of the sample space is
if a code is chosen at random, the probability that it has a letter that immediately follows an odd number is
if a code is chosen at random, the probability that is in the code but is not in the first position is

Answers

The likelihood that it contains a letter just after an odd number is 1/2 . D's likelihood of being in the code but not at the first position is 1/4.

What is probability?

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

A three-digit code is needed to unlock the lock on a locker. One letter and two numbers are required for the code, and neither a letter nor a number may be repeated.

Four letters, A, B, C, and D, as well as two numerals, 5 and 6, are available for selection.

The sample space has a size of (8, 16, 20, and 24)

If a random code is chosen,

The likelihood that it contains a letter after an odd number (1/8, 1/6, 1/3, 2/5, or 2/3)

= 1/2

If a random code is chosen,

Probability (1/8, 1/6, 1/3, 2/5, 2/3) that D is in the code but not at the first position.

= 1/4

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A satellite television receiver is a parabolic dish with an equation of y=1/32 x^2

Answers

Step-by-step explanation:

The equation of a parabola that relates it focus is

[tex] {x}^{2} = 4py[/tex]

So here, we isolate x^2.

[tex]y = \frac{1}{32} {x}^{2} [/tex]

[tex]32y = {x}^{2} [/tex]

Next, we factor out 4.

[tex] {x}^{2} = 4(8)(y)[/tex]

Our p=8 so this tells us the distance of the vertex to the focus.

Please help me find the answers to all the questions whoever answers all the question I will mark the brainlest.

Answers

Answer:

[tex]\textsf{a)} \quad \textsf{Recursive Rule}: \quad a_n=5n-2[/tex]

     [tex]\textsf{Explicit Rule}: \quad \begin{cases}a_1=3\\a_n=a_{n-1}+5\end{cases}[/tex]

b)  4998

c)  explicit rule (see below for explanation)

d)  see below

Step-by-step explanation:

An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

Part a

Explicit Formula

[tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termn is the number of the termd is the common difference

Given sequence:  3, 8, 13, 18, 23, ...

To find the common difference, subtract one term from the next term.

Therefore:

a = 3d = 8 - 3 = 5

Substituting the found values of a and d into the formula to create a explicit rule for the given sequence:

[tex]\implies a_n=3+(n-1)5[/tex]

[tex]\implies a_n=3+5n-5[/tex]

[tex]\implies a_n=5n-2[/tex]

Recursive Formula

[tex]a_n=a_{n-1}+d \quad \textsf{for }n\geq 2[/tex]

where:

[tex]a_n[/tex]  is the nth term[tex]a_{n-1}[/tex] is the term immediately before the nth termd is the common difference

We already know the common difference our previous calculations.

Therefore:

[tex]\implies a_n=a_{n-1}+5[/tex]

When giving a recursive rule we also have to define the first term of the sequence, as it is not part of the formula.  Therefore, the full recursive rule for the given sequence is:

  [tex]\begin{cases}a_1=3\\a_n=a_{n-1}+5\end{cases}[/tex]

Part b

To find the 1000th term of the sequence, use the explicit rule and substitute n = 1000:

[tex]\implies a_{1000}=5(1000)-2[/tex]

[tex]\implies a_{1000}=5000-2[/tex]

[tex]\implies a_{1000}=4998[/tex]

Therefore, the 1000th term of the sequence is 4998.

Part c

We used the explicit rule to find the 1000th term as this rule allows us to find the nth term of the sequence without having to know any previous terms.

Part d

The disadvantage of a recursive rule when compared to an explicit rule is that we need to know the previous term to find the nth term, whereas the explicit rule doesn't need this information.

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The graph of f(x) =[tex]2^{x+3}[/tex] shifts 10 units to the right when it is replaced with the graph of f(x) = [tex]2^{x-k}[/tex]. What is the value of k? 3 7 10 13

Answers

Answer:

7

Step-by-step explanation:

Whenever you shifting an exponential function to the left/right, you're going to generally have the equation: [tex]y=2^{x-k}[/tex] where k is the shift. So in this case we can think of x+3 as x and k as 10, since the shift is 10. This gives you the equation: (x+3) - 10, which simplifies to x-7, meaning the k value in this case is going go be 7. You can also think of it as already being shifted 3 units to the left, and you shift it 10 units to the right, that means this new function will be shifted 7 units to the right relative to the origin. This means the k=7.

i need help on this question for algebra

Answers

Answer:

36 miles and 10 miles

Step-by-step explanation:

area = length × width

A = LW

W = unknown = x

L = 26 ft more than width = x + 26

A = LW

360 = (x + 26)x

360 = x² + 26x

x² + 26x - 360 = 0

(x + 36)(x - 10) = 0

x + 36 = 0  or  x - 10 = 0

x = -36 or x = 10

We discard the solution x = -36 since the width of a rectangle cannot be a negative number.

W = x = 10

L = x + 26 = 10 + 26 = 36

Answer: 36 miles and 10 miles

Jeff has 2 hamsters and 1 gerbil. What is the ratio of gerbils to hamsters?

Answers

Answer:

1:2

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

Marcus was going up 10 stairs in his office. Write an absolute value expression for the given statement.
1. -10
2. |10|
3. |-10|
4. ±10

Answers

The absolute value expression for the given statement is  |10|

What is absolute value?

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign

Marcus was going up stairs in his office. Therefore, he was ascending .

This means the 10 staircase will be added since there is an increase.

Hence, the absolute value expression for the given statement is as follows:

absolute value = |10|

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classify the decimal form of the given rational number into terminating and non terminating type

Answers

19 : 125 = 0.152, and because there is a finite amount of digits after the decimal, this is a terminating decimal. (if anything's wrong just message)

hi hermes

Given ƒ(x) = x + 10, find ƒ(x + 1).

Answers

Answer:  f(x+1) = x+11

Work Shown:

f(x) = x + 10

f(x+1) = x+1 + 10 .... replace every x with x+1

f(x+1) = x + 11

6.7 Section 6.7 Integer Exponents and Scientific Notation
Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
740. 8,500,000

Answers

Answer:

The decimal number 8,500,000 has been converted to its corresponding scientific notation, which is [tex]$8.5 \times 10^{6}$[/tex].

Step-by-step explanation:

Given: The decimal number 8,500,000.We need to convert the number to its corresponding scientific notation.Dissociate the number into the multiples of 10.Adjust the coefficient such that it lies between 1 and 10.Use the format [tex]$a \times 10^{b}$[/tex] to write the final answer.

Step 1 of 1

Remember that the decimal lies at the end of 8,500,000. Move the decimal next to 8 such that the result is greater than 1 and less than 10 . So the decimal point will move 6 places to the left.

As 8,500,000 is greater than 1 so the power of 10 will have an exponent of 6 .

So,

[tex]$$8,500,000=8.5 \times 10^{6}$$[/tex]

Verifying the result we can see that

[tex]$$10^{6}=1,000,000$$[/tex]

when multiplied by 8.5 will result in 8,500,000.

The plane flew over a beacon which is 280 miles from bristol. write down the gmt times when the plane flew over the beacon.

Answers

According to graph, GMT time when the plane flew over the beacon was 9:24.

While looking closely at the graph on x axis , one will notice that each hour is divided into 5 parts and hence each part has 12 minutes. looking at y axis, one may find that each part on y axis resembles 20miles. Hence at 280 miles away from Bristol, The GMT time is 9:24.

What is a graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics of study in discrete mathematics is graphs.

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60. Cities A and B are on the same east-west line.
Assume that city A is located at the origin. If the
distance from city A to city B is at least 100 miles
and x represents the distance from city B to city A,
express this using absolute value notation.

Answers

Answer:

The expression for the statement using absolute value notation is [tex]|x|\geq 100[/tex]

Step-by-step explanation:

It is given in the question that the distance from city A to city B is at least  100 miles.

It is required to express the statement using absolute value notation.

To express the statement using absolute value notation, deduce the statement in the form of an equation.

x represents the distance from city B to A city .

Deduce the statement in the form of an equation
[tex]|x|\geq 100[/tex]

Write y=x²-4x-1 in vertex form.

Answers

Answer:

y = (x - 2)² - 5

Step-by-step explanation:

y = x² - 4x - 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 - 1

y = (x - 2)² - 5 ← in vertex form

Can someone help me with this?

After the storm, the small tree in my neighbor's yard was
leaning. To keep it from falling, we nailed a 6-ft strap into
the ground 2 ft from the base of the tree. We measured 5
feet along the tree and attached the other end of the strap
to the tree. What degree was the tree leaning? Round to
the nearest degree. Enter a number answer only.
Strap
Distance from base of tree
Strap attached this
distance above ground.

Answers

The degree the tree was leaning is 70 degrees.

How to find an angle of a triangle?

Using cosine law,

c² = a² + b² - 2ab cos C

Therefore,

6² = 2² + 5² - 2 × 2 × 5 cos C

36  = 4 + 25  - 20 cos C

36  = 29 - 20 cos C

36  - 29 = - 20 cos C

7 = - 20 cos C

cos C = 7 / - 20

cos C = -0.35

C = cos⁻¹ 0.35

C = 69.5126848853

C = 70 degrees.

Therefore, the degree the tree was leaning is 70 degrees.

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18. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line
2. Is each pair of lines parallel, perpendicular, or neither?
18. Line 1: Passes through (0, 6) and (3, -24 Line 2: Passes through (-1, 19) and (8, -71)

Answers

Answer:

The given lines are parallel.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (0,6) and (3,-24). Whereas, line 2 passes through (-1,19) and (8,-71).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel

Step 1 of 2

Find the slope of first line.

[tex]$$\begin{aligned}&m_{1}=\frac{-24-6}{3-0} \\&m_{1}=\frac{-30}{3} \\&m_{1}=-10\end{aligned}$$[/tex]

Step 2 of 2

Find the slope of first line.

[tex]$$\begin{aligned}&m_{2}=\frac{-71-19}{8-(-1)} \\&m_{2}=\frac{-90}{9} \\&m_{2}=-10\end{aligned}$$[/tex]

Since, both slopes are equal.

Therefore, the lines are parallel.

Karissa is a college basketball player who makes 85% of her free throws. If Karissa takes 94 free throws in the upcoming season, what is the mean of the number of free throws made

Answers

The mean of the number of free throws made is 79.9

The standard deviation of throws is 3.46

Karissa is a college basketball player who makes 85% of her free throws. If Karissa takes 94 free throws then,

For binomial distribution B(94,0.85)

n  = no. of throws

P = probability of the success

mean = np

         = 94*0.85

         = 79.9

standard normal = (npq)^0.5

                            = (94*0.85*0.15)^0.5

                            = 3.46

the mean of the number of free throws made is 79.9

and standard devation of trows is 3.46

Formula used:

mean = np

standard deviation = (npq)^0.5

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At constant pressure, the ratio between the volume expansion of a mole of gas with a high Cp to that of a mole of gas with a low Cp for a given heat input will be Which property was applied to create this equivalent expression? 7 x (5 6 x) right-arrow (7 x 5) 6 x the commutative property only the associative property only the distributive property only both the commutative property and the associative property What aspects of the geography affect the Egypt imports and exports? Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p). Complete the following proof.Given: SW is diameter of Rm = 30Prove: m RTW = 15 PLEASE HELP QUICK!!Question 1: About 80% of the packages on a delivery truck are internet orders. The driver delivered 644 packages that were internet orders. About how many total packages did the driver deliver that day?Question 2: A librarian estimated that 60% of the books in the local library were fiction. She counted 8556 fiction books. About how many books are in the local library? Part GThe compound Iron oxide can exist with either iron(II) ions or Iron(III) ions. Conduct Internet research to learn about thedifferences between iron(II) oxide and iron(III) oxide. Give the chemical formula for each compound. Describe theirappearance and uses. Based on your findings, are these two forms of the same compound, or are they two completelydifferent compounds?BIU xX Xparameterschemical formulaappearanceuses10ptViron(II)oxideAvZv = = = = = = V VIron(III) oxide Mia has 24 yards of ribbon. She gave 10 yards to her sister. Mia now wants to work on a project that requires 2 1/4 yards of ribbon per project. What is the greatest number of projects Mia can complete with this ribbon.(Optional, just please write down step by step explanation) PLEASE ANSWER WITH EXPLANATION AS IF YOU WERE WRITING DOEN ON SCRATCH PAPER When the insured knows more about their circumstances than the insurer, there is:. MULTIPLICATION! QUESTIONS!a) 9x2b)16x2c)14x9d)20x10e)10x3 3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then rewrite it in the slope-intercept form. Which of the phrases below is an example of an idiom?Group of answer choicesran to be first in lineran faster than the speed of soundran like the windran excitedly down the path If labor productivity growth slows down in a country, this means that the growth rate in ________ has declined. The major action of angiotensin II is: Group of answer choices Increased parathormone secretion by the parathyroid Decreased adrenal secretion of aldosterone Increased vasoconstriction Increased pituitary secretion of vasopressin After the War of 1812, what did James Madison advocate to make American manufactured products cheaper and more competitive in both domestic and foreign markets show a graph that represents y>-6x+5? How did the battle of Yorktown end the fighting in 1781? In forming a molecular compound, each atom should have ______ electrons around it unless there is some specific reasons why this cannot be achieved. Let a=3/5 and let b=2/3. Compute a^2b^-3. You sell short 700 shares of Microsoft that are currently selling at $30 per share. You post the 40% margin required on the short sale. If you earn no interest on the funds in your margin account, what will be your rate of return after 1 year if Microsoft is selling at $27