If a tessellation is regular, how many sides can the tessellating regular polygon have?

Answers

Answer 1
For the answer to the question above, I think that only the regular polygons that tessellate are equilateral triangles, squares, and regular hexagons.
I hope my answer helped you. Have a nice day!
Answer 2
3, 4, 6 apex not sure if it is correct but i think it is 

Related Questions

Megan uses a credit card with a 24.9% APR compounded monthly to pay for car repairs totaling $583.75. She can pay $240 per month on the card. What will the total cost of this purchase be

Answers

It is convenient to use a spreadsheet to compute the finance charge and the new balance each month. The graphic here shows the beginning balance and finance charge for each of the 3 months it will take Megan to pay off the purchase.

Her total expense is $605.80.

the correct answer is $605.80

Suppose a triangle has 3,4, and 5 sides.Which of the following must be true

Answers

Answer:

A. The triangle in question is a right triangle

Step-by-step explanation:

You fly a hot air balloon 1.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)

Answers

Answer:

3.1

Step-by-step explanation:

If you are doing this for big ideas, the answer ended up being 3.1

I'm sorry if you wanted the work, I found the answer from something else that didn't show the work but this was the correct answer...

Final answer:

To find the measure of BD⌓, the visible portion of Earth's surface from a hot air balloon 1.5 miles above the ground, convert the height to kilometers and use the formula D = 112.88 km × √h to get the distance to the horizon, which is about 175.4 km. Then, calculate the semicircular distance visible by using C/2 = (π × D) / 2, which results in approximately 276.1 km for the measure of BD⌓.

Explanation:

To calculate the measure of BD⌓, the portion of Earth's surface that is visible from a hot air balloon 1.5 miles above the ground, you can use the formula for the distance to the horizon, given as D = 112.88 km × √h, where h is the height above the Earth's surface. In this case, we must convert the height of 1.5 miles to kilometers before applying the formula, as the formula uses kilometers.

The conversion from miles to kilometers is 1 mile = 1.60934 kilometers, so 1.5 miles is approximately 2.414 km.

Inserting h = 2.414 km into the formula, we get:

D = 112.88 km × √2.414

D = 112.88 km × 1.5535 (approx)

D ≈ 175.4 km (rounded to the nearest tenth)

This is the straight-line distance to the horizon. To find the measure of the arc BD, which is the portion of the Earth's surface visible, we can treat this distance as the radius of a circle and calculate the circumference. However, since we are only looking at the visible part, which is a semicircle, we use half of the circumference C = π × D.

The measure of BD⌓ is therefore approximately:

C/2 = (π × 175.4 km) / 2

C/2 ≈ 276.1 km

Thus, the measure of BD⌓ to the nearest tenth is 276.1 km.

f(x)=3 cos (2x-pi) -1
HELP PLS!!

Answers

I am confused on the terminology, but I do know that f(x) is the function graphed on the graph.
I sadly do not know what they mean by " smallest rate of change.

suppose you deposit 1,000 ina savings account that pays interest at an annual rate of 5%. if no money is added or withdrawn from the account answer the following questions. How much money will be in the account after 3 years? How much will be in the account after 18 years? How many years will it take for the account to contain 1,500? How many years will it take for the account to contain 2,000?

Answers

After three years:  $1000(1+0.05)^3 = $1157.63

Time req'd for amount to reach $1500 from $1000:

1500=1000(1+0.05)^t, or 1.5=1.05^t
                                               ln 1.5
ln 1.5 = t ln 1.05, so that t = ------------ = 8.31 years, or 8 yr 3 3/4 months
                                              ln 1.05

The scatterplot shows the depth of water in swimming pools, y, based on the days after filling, x. graph What can you conclude from the graph? Check all that apply. The depth of the water in the swimming pool decreases over time. The data are clustered. There are no outliers in the data. In general, increased time does not affect the depth of the water in the swimming pool.

Answers

1) The data is clustered

2) Increased time does not affect the depth of the water.

A scatterplot is a kind of graph in which each point on the graph represents an observation and values for two variables are shown using Cartesian coordinates. Generally, the dependent variable is represented by the y-axis, and the independent variable by the x-axis. Relationships, trends, patterns, and outliers between the variables can be found using scatterplots.

They can demonstrate, for instance, if a correlation is positive, negative, or absent. One can draw conclusions about the potential relationship between the two variables by looking at the point distribution.

Answer:

1) The depth of the water in the swimming pool decreases over time.

2)The data are clustered.

3)There are no outliers in the data.

Step-by-step explanation:

What is the value of x in the equation x + 10 = 13?

Answers

The answer is x=3 Your Welcome!
that is a really hard question, maybe 3? Cx

The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is a quadratic equation the represents the area of the screen? What are the dimensions of the screen?

Answers

x ( x + 24) = 3456

x^2 + 24x - 3456 = 0   is the equation you require

(x - 48(x + 72) = 0

x = 48

Dimensions are   width 48 and length 72 in

How do I simplify this expression

Answers

(4x - 3)(x + 5)
= 4x(x + 5) - 3(x + 5)
= 4x^2 + 20x - 3x - 15
= 4x^2 + 17x - 15 Answer

What is the answer? Please help.

Answers

The answer is:  " x = 5, and -1 " .
_______________________________________________


Explanation:

_______________________________________________
Given:
_______________________________________________

  (x − 2)  =  √(2x + 1)  ;

→ "Square" each side of the equation; that is, raised EACH SIDE of the equation to the power of "2" ; to get rid of the "radical" ;  as follows:
_______________________________________________


  [(x - 2)]²   =  [ √(2x + 1) ] ² ;

to get:

→ (x - 2)² = (2x - 1) ; 

Expand the " (x - 2)² " ; 

→ (x - 2)(x -2) = ?

NOTE: (a + b)(c + d) = ac + ad + bd .

→    =  (x * x) + (x * -2) + (-2 * x) + (-2 * -2) ; 

        =  (x²)  + (-2x) + (-2x) + (4) ; 

        =   x²  − 2x − 2x + 4 ; 

        =   x² − 4x + 4 ;
______________________________________________
Now, rewrite the entire question:

 →  (x − 2)²  =  (2x − 1) ; 

 →  as follows:
______________________________________________

→   " x² − 4x + 4   =  2x − 1  " ; 

Now, subtract "2x" from each side of the equation;
         & add "1" to each side of the equation:

 
→   " x² − 4x + 4  − 2x + 1  =  2x − 1 − 2x + 1  " ; 

to get:

→   " x² − 6x + 5  = 0 " ;  Solve for "x" ; 

Let us if :  " x² − 6x + 5 " can be factors:
_____________________________________
What factors of "positive 5" ; add up to "-6" ; 

     -5 ,-1 ;  → -5 + (-1) = - 6; YES. 

     5,  1 ; → 5 + 1 = 6 ;  NO.

 _____________________________________
 
So, we have:  " (x − 5) (x − 1) = 0 " .

x = 5, and -1 .
_________________________________________ 

    
 

If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone? Hint: Write the system of equations shown below in augmented form, then solve the system for T (Tom's painting rate). Next, use the equation Painted Area = Painting Rate× Time and solve for Time to determine how long it would take Tom to paint the room alone.

4(T+G+M)=600
8(0+G+M)=600
6T+G+0)=600

Answers

We call:

T = Tom's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]
G = George's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]
M = Mario's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]

As the first statement says that they can work together, then:

T + G + M = Painting rate working together, that is the surface area they paint per hour.

Since the problem says that they last four hours painting a [tex] 600ft^{2} [/tex] room, then we need to multiply the amount of hours times the painting rate that is equal the surface area of the room, so:

4(T + G + M) = 600

Applying a similar reasoning, the George and Mario's painting rate is:

0 + G + M 
Note that 0 implies that Tom didn't work in this case.

As they last eight hours painting the room, then:

8(0 + G + M) = 600

The same reasoning is applied to Tom and George working together. In this case 0 implies that Mario didn't work, so:

6(T + G + 0) = 600

We have a system of linear equations in three variables T, G, M:

4(T+G+M)=600
8(0+G+M)=600
6(T+G+0)=600

Solving:

(1) T + G + M = 150
(2) G + M = 75
(3) T + G = 100

Substitute (3) in (1):
100 + M = 150 ∴ M = 50

Replace M in (2):
G + 50 = 75 ∴ G = 25

Substitute G in (3)
T + 25 = 100 ∴ T = 75

Then, the painting rates are:
Tom = 75 [tex]( \frac{ ft^{2} }{h} )[/tex]
George = 25 [tex]( \frac{ ft^{2} }{h} )[/tex]
Mario = 50 [tex]( \frac{ ft^{2} }{h} )[/tex]

Solving for Time to determine how long it would take Tom to paint the room alone:

Painted Area = Painting Rate×Time, so:

[tex]Time Tom = \frac{Painted Area}{Painting Rate (T)} [/tex]
[tex]Time Tom = \frac{600}{75} = 8 hours [/tex]

Answer:

A. 8 hours

Step-by-step explanation:

What is the positive solution of x2 – 36 = 5x?

Answers

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

[tex]x^2-36=5x[/tex]

we have to find the positive solution of above equation.

[tex]Equation: x^2-5x-36=0[/tex]

By splitting middle-term method

[tex]x^2-5x-36=0[/tex]

[tex]x^2-9x+4x-36=0[/tex]

[tex]x(x-9)+4(x-9)=0[/tex]

[tex](x+4)(x-9)=0[/tex]

[tex]x+4=0, x-9=0[/tex]

The solution is x=-4 and x=9

Hence, the positive solution is x=9

Tom ordered a jacket at $70, a shirt at $30, and slacks at $38. If sales tax is 6% and the shipping and handling is $10.75, what is the total amount of his order?

Question options:



$157.03



$146.28



$87.03



$55.95

Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?

Question options:




$108.60



$77.01



$66.03



$100.56

Answers

For question 1, We need to calculate the total, find the tax, then add the shipping cost to the total. (70+30+38=138) now we find the tax (138*0.06=8.28) Now we add the tax and cost together and then the shipping and handling and we have our answer (138+8.28+10.75=157.03) So your answer is A.

For question 2, We need to calculate the total and then find the tax. So, we do this: 25.67*3=77.01. Then we add the skirt to the total (77.01+23.55=100.56). Finally, we calculate the tax cost (100.56*0.08=8.0448). So our total is (100.56+8.0448=108.6048) So the answer is A.

The total amount of his order is  $157.03.

The total amount of the order is the sum of the items  bought, the tax paid an the cost of shipping and handling .

Total cost of the order = cost of the items bought + tax paid + shipping and handling

Total cost of the items bought = cost of jacket + slacks + shirt

$70 + $30 + $38 = $138

Tax paid = 6% x $138 = $8.28

Shipping and handling = $10.75

Total cost = $138 + $8.28 + $10.75 = $157.03

To learn more about taxes, please check: https://brainly.com/question/19540033

If the selling price is $18 and the markup is 33% what is the dollar market

Answers

that cost will be $23.94 in the dollar market

A single 6-sided dice is being rolled. What is the probability of rolling a 5 or an odd number?

Answers

S = sample space
S = set of all possible outcomes
S = {1,2,3,4,5,6}

E = event space
E = set of items we want to happen (rolling a 5, or rolling an odd number)
E = {1, 3, 5}
note: the event of "rolling a 5" is a subset of "rolling an odd number" because 5 is odd

n(S) = number of items in the sample space
n(S) = 6

n(E) = number of items in event space
n(E) = 3

Divide the values to get the probability
P(E) = n(E)/n(S)
P(E) = 3/6
P(E) = 1/2
P(E) = 0.50
P(E) = 50%

The answer in fraction form is 1/2
The answer in decimal form is 0.50
The answer as a percentage is 50%
These three values all represent the same idea, just written in different forms.

note: writing "P(E)" means "the probability of event E occurring", which I've defined as the event space above

What is the slope of a line that is parallel to the line y = x + 2?
















Answers

y = mx +c 

y = x + 2
⇒ slope = 1
⇒Slope of the parallel line = 1


Answer: 1

Answer:

I’m going to assume you didn’t put the 3/4x in your equation, if you had, the answer would’ve been 3/4.

Step-by-step explanation:

REMEMBER

If the equation is parallel, it will have the same slope as the other equation parallel to it.

(Financial Algebra workbook 10-3)

Under his "Household expenses" Budget category, Mark has allocated $60 per month for pet food. He can purchase "wet food" for $1.50 per can or "dry food" for $3 per bag.


D.) Name a combination of bags and cabs that will allow him to meet his budget exactly.

Answers

A possible answer to this question is 10 cans of "wet food" and 15 bags of "dry food". 10 cans of wet food make $1.50 * 10 = $15 and 15 bags of dry food make $3.00 * 15 = $45. $45 + $15 = $60.
We can find answers by creating this equation.
                                        $1.50c + $3.00b = $60
where c and b represent the number of "wet food" cans and "dry food" bags, respectively. We can easily substitute numbers and solve for the other quantity that will satisfy the condition of total cost adding up to $60.

Final answer:

The question asked for a combination of wet and dry pet food that meets a monthly budget of $60. One such combination would be buying 10 bags of dry food and 20 cans of wet food, as 3(10) + 1.5(20) equals $60, which fits the budget exactly. There are also other combinations that can fulfill the budget constraint.

Explanation:

The student asked for a combination of bags and cans of pet food that would allow Mark to meet his monthly budget of $60 exactly. With wet food costing $1.50 per can and dry food costing $3.00 per bag, we can create a simple algebraic equation to find multiple combinations. Let's let x represent the number of bags and y represent the number of cans. The equation can be written as 3x + 1.5y = 60.

To find a combination that fits exactly into Mark's budget, consider the following example:

If Mark buys 10 bags of dry food, that would cost 10 × $3 = $30. He would then have $30 left of his budget. At $1.50 per can, he could buy 20 cans of wet food (because 20 × $1.50 = $30). Thus, one possible combination would be 10 bags and 20 cans. The equation for this would be 3(10) + 1.5(20) = 30 + 30 = 60, which satisfies Mark's budget constraint.

It's important to note that there are other combinations that would also meet Mark's budget exactly. The student could experiment with different numbers of bags (x) and cans (y) to find additional combinations. The key is that the total cost must not exceed $60.

Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line

y = 1/4x + 5

Answers

General Equation of a linear line : y = mx + b

Find the slope:
y = 1/4 x + 5
Slope = 1/4
Slope of perpendicular line = -4

Substitute m = -4 into the equation:
⇒ y = -4x + b

Find y-intercept:
At point (0, 2) ⇒ y-intercept = 2

Substitute b = 2 into the equation
y = -4x + 2

Answer: y = 4x + 2

Answer:

y=-4x+2

Step-by-step explanation:

The line passes through (0,2), so chuck these numbers in and you get a value of 2 for c. If you're sharp, you might spot that this point is the y-intercept of the line since the x- coordinate is 0, this point is on the Y-axis, and you don't even have to throw numbers in.

Therefore the equation of the line is:

y = -4x + 2

Hope that was clear!

If 75% of the students in Toby’s grade voted, how many students are in Toby’s grade?

Answers

Answer:

The total number of students in Toby's grade is 200.

Answer:number of students who voted= 75%= 150

75% of total number of students= 150

The total number of students in Toby's grade is 200.

Step-by-step explanation:

Which applies the power of a product rule to simplify (5t)^3?

Answers

[tex](5t)^3 = 125t^3[/tex]

Answer:

[tex]125t^{3}[/tex]

Step-by-step explanation:

The power product is given by the following formula:

[tex](ab)^{x} = a^{x}*b^{x}[/tex]

In this case, this gives us:

[tex](5t)^{3} = (5)^{3} * t^{3}[/tex]

        = [tex]125*t^{3}[/tex]

        = [tex]125t^{3}[/tex]

The data shows the number of grams of fat found in 9 different health bars.12, 14, 16, 16.5, 11, 18, 18, 14, 20 What is the IQR (interquartile range) for the data?
9
5
16
18

Answers

The interquartile range (IQR) for the given health bar fat content data set is 5 grams, calculated by subtracting the first quartile (13) from the third quartile (18).

To calculate the interquartile range (IQR) of the given health bar data set, first, we must organize the numbers in ascending order: 11, 12, 14, 14, 16, 16.5, 18, 18, 20. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Find the median (the middle value) of the dataset, which will also serve as the second quartile (Q2). The median of the dataset here is 16.

To find Q1, calculate the median of the lower half of the data (not including the median of the dataset if your dataset has an odd number of values). So the lower half of the data is 11, 12, 14, 14, and the median of this is 13.

To find Q3, calculate the median of the upper half of the data. The upper half following our median is 16.5, 18, 18, 20, with a median value of 18.

The IQR is Q3 - Q1, which is 18 - 13 = 5.

Thus, the IQR for the health bars' fat content data is 5 grams.

what crime is illigal but you cant get arrested for

Answers

a crime u can get arrested for is assault
If you break any law/crime you will most likely get arrested for it!

The difference of a number and 8 is the same as 34 less the number. find the number.

Answers

The difference of a number and 8  is (n-8).
34 less the number is 34-n.

n-8=34-n
2n=34+8
2n=42
n=21
Final answer:

The question is a simple algebra problem. By setting up and solving the equation 'x - 8 = 34 - x', we find that the number is 21.

Explanation:

The subject of this question is algebra, and involves setting up and solving an equation. Let's denote the unknown number as 'x'. Following the question, we can set up the equation as 'x - 8 = 34 - x'.

To solve the equation, let's add 'x' to both sides to get 2x - 8 = 34. Then, add 8 to both sides to get 2x = 42. Finally, divide each side by 2, so that 'x = 21'.

So, the number that satisfies the equation is 21.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

Which of the following have the same value as the fraction below?

8/5 A.

Check all that apply.

A. 2.20
B. 220%
C. 1.60
D. 160%

Answers

The answers are both C. 1.60 and D. 160%
C. And D. I thing this is correct

find the solution of this system of equations
-6x-2y=8
7x-2y=-5

Answers

Photo math said that the answer is (x, y)= (-1, -1)

Simplify the expression, leave your answer in exponential form :


Can you show the steps!??

Answers

[tex]\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \left( \cfrac{16y^0z^{-8}}{x^{\frac{1}{2}}} \right)^{-\frac{3}{4}}\implies \left( \cfrac{x^{\frac{1}{2}}}{16y^0z^{-8}} \right)^{\frac{3}{4}}\implies \left( \cfrac{x^{\frac{1}{2}}}{16(1)z^{-8}} \right)^{\frac{3}{4}}[/tex]

[tex]\bf \left( \cfrac{x^{\frac{1}{2}}}{16z^{-8}} \right)^{\frac{3}{4}}\implies \left( \cfrac{x^{\frac{1}{2}\cdot \frac{3}{4}}}{16^{\frac{3}{4}}z^{-8\cdot \frac{3}{4}}} \right)\implies \left( \cfrac{x^{\frac{3}{8}}}{(2^4)^{\frac{3}{4}}z^{-6}} \right) \\\\\\ \left( \cfrac{x^{\frac{3}{8}}}{2^{4\cdot \frac{3}{4}}z^{-6}} \right)\implies \left( \cfrac{x^{\frac{3}{8}}}{2^3z^{-6}} \right)\implies \cfrac{x^{\frac{3}{8}}z^6}{8}[/tex]

A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?

Answers

Hello!

You have to find the probabilities of them happening separately

To do this you do the amount of favorable outcomes over the total amount of outcomes

3 + 2 + 2 + 2 + 5 = 14 total fruit

The chance of Jack getting a peach is 5 / 14

The chance of Bethany getting an orange is 2 / 13 because Jack did not put the fruit back in so their is one less to choose from

You multiply the two probabilities to find the probability of them happening in a row

5/14 * 2/13 = 5/91

The answer is 5/91

Hope this helps!
5/14 × 2/13 = 10/182

simplify by 2

10/182 ÷ 2/2

5/91

5 over 91

A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degrees.how far out from the building does the base of the ladder need to be positioned

Answers

we know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft  (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

A person who is 55 feet tall is standing 168168 feet from the base of a​ tree, and the tree casts a 180180 foot shadow. the​ person's shadow is 1212 feet in length. what is the height of the​ tree?

Answers

121255 ft tall right

What is the range of the function y= cot(x)?

A. all real numbers

B. all real numbers except pi/2 + n(pi), where n is any integer

C. all real numbers except n(pi)/2, where n is any integer

D. all real numbers except n(pi), where n is any integer

Answers

i believe its A, just all real numbers

Answer:

all real numbers

Step-by-step explanation:

Given : y = cot(x)

To Find: Range.

Solution:

Refer the attached graph.

The domain of the function   [tex]y=cot(x)=\frac{cos(x)}{sin(x)}[/tex]   is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n .  

The range of the function is all real numbers.

Referring the graph we can say that the range of the given function y = cot(x) is all real numbers .

Hence Option A is correct.

Other Questions
Esa casa es pequea.CorrectIncorrect Write the related series for the finite sequence 7, 10, 13, . . ., 22. then find the sum.7 + (10) + (13) + (16) + (19) + (22) = 87 7 + (10) + (13) + (15) + (18) + (22) = 85 7 + (10) + (13) + (14) + (18) + (22) = 84 7 + (10) + (13) + (17) + (20) + (22) = 89 For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\ Parents who wish to lessen their children's potential for violence must foster human resources that promote sharing and reduce impulsivity. Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 x 2? x 2 x + 2 x + 3 x 3 A culture started with 3,000 bacteria. After 7 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number. P=Ae^kt Answer:3,780 Which two lakes are they? Sodium hypochlorite, naocl, is household bleach. it removes stains from clothing through a redox reaction in which the stain molecules are oxidized. sodium hypochlorite acts as a(n) What were the success and failures of the Jefferson administration Why do plant cell possess large size vacuole? anaerobic exercise dose not requrie the body to use any extra oxygen true of false Georgie needs to paint the wall with a fixing mixture.She mixes glue and water in the ratio 3:1 to make the mixture.Georgie needs 5 litres of the mixture.She has 3.5 litres of glue. Does Georgie have enough glue to make 5 litres of the mixture? Which story topic would most likely be explored in green literature? The legislature in the state of texas does a great deal of its work in committees, so much so that these committees are often referred to as "little legislatures." committee types in the house include substantive, procedural, and select committees. senate committees are designated as either or special interim committees. in addition to different types of committees in both the texas house and the texas state senate, some committees combine membership from both chambers. Volume and Surface AreaMath help 100 points How do find the measure of side a? Which one of the following choices will not destabilize a proteins shape? A. Cold temperatures B. Changes in acidity C. Changes in alkalinity D. Oxidation What does it mean if you have a line in your tooth? QUESTION 61.The small, nimble ship developed during this era was theA.CaravelB.JunkC.Snekke Viking WarshipD.MerchantE.None of the aboveQUESTION 71.When he landed in the Americas in 1492, Christopher Columbus claimed the new land for which European kingdom?A.SpainB.PortugalC.EnglandD.FranceE.None of the AboveQUESTION 81.The term westernization is defined asA.The spread of European cultural influenceB.The incorporation of European ideas and technologyC.The adoption of European values within societyD.None of the AboveE.All of the AboveQUESTION 91.European monarchs claimed their right to rule rested in the belief ofA.Divine RightB.BirthrightC.Mandate of HeavenD.Divine interventionE.None of the AboveQUESTION 101.The phrase Letat, cest moi was made famous by this European Monarch:A.King Louis XB.King Louis XIIC.King Louis XIVD.King Louis XVIE.None of the AboveQUESTION 111.This gunpowder empire was a dominant force in the crossroads of Europe and Asia:A.IranB.IraqC.The OttomansD.The EgyptiansE.None of the Above1.The power and expansion of the Russian Empire depended on the rule of the monarchs of the country also known as:A.The CesaersB.The HabsburgsC.The SafavidsD.The CzarsE.None of the AboveQUESTION 131.The strong, military rulers in Japan who helped centralize control were known as:A.The emperorsB.The TokugawaC.The MingD.The ShogunsE.None of the AboveQUESTION 141.The Commercial Revolution was known for which of the following:A.The exploitation of overseas resources and marketsB.The rise of capitalismC.An increase in European wealth and dominanceD.None of the AboveE.All of the AboveQUESTION 151.The Spanish conquests in the Americas was due in large part to these representatives of the empireA.The CrusadersB.The ConquistadorsC.The MatadorsD.The IlluminatiE.None of the AboveF.All of the AboveQUESTION 161.The Columbian Exchange linked America and Europe through which of the following:A.FoodB.LivestockC.PeopleD.IdeasE.None of the AboveF.All of the AboveQUESTION 171.The central corridor connecting Europe and Asia was ruled by this empire from the 1300s to 1900. A.Mughal EmpireB.Tokugawa EmpireC.Ottoman EmpireD.Austro-Hungarian EmpireE.The Safavid EmpireF.None of the Above At the sandwich shop, there are four different types of meat and three different types of cheese. If you select a sandwich without looking, what is the probability that it has your favorite type of meat on it?give answer as a fraction