Given: Tangents LA and LB, m∠AOB=110°. Find: m∠ALO.

Answers

Answer 1

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

 outside the circle:

- They are equal in length

- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

 formed two congruent triangles

* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

- The two triangles LAO and LBO are congruent ⇒ SAS

- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

  angle between them in one triangle equal to the

  corresponding sides and angles in the second triangle,

  then the two triangles are congruent

∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°


Related Questions

Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph.



How many people prefer banana?



Enter your answer in the box.


A pie chart displaying favorite flavors of frozen yogurt. Chocolate is at 36 percent, strawberry is at 18 percent, vanilla is at 22 percent, banana is at 4 percent, and peanut butter is at 20 percent.
20% peanut butter
4% banana
22% vanilla
18% strawberry
36% chocolate


WORTH 50 POINTS!!! PLS HELP ME!

Answers

Answer: the answer is 25 people

Step-by-step explanation:

Final answer:

To determine how many people prefer banana-flavored frozen yogurt, calculate 4% of the 50 people surveyed. The calculation (4/100) × 50 results in 2 people preferring banana flavor.

Explanation:

The student is asking how many people prefer banana flavor based on a pie chart that displays the percentage breakdown of favorite flavors of frozen yogurt. To find the number of people who prefer banana flavor, we need to calculate 4% of the 50 people surveyed because the pie chart indicates that banana flavor is preferred by 4% of the participants. Here's a step-by-step breakdown:

Identify the total number of people surveyed, which is 50.Determine the percentage of people who prefer banana, which is 4%.Calculate the number of people who prefer banana by taking 4% of 50: (4/100) × 50 = 2.

Therefore, 2 people out of the 50 surveyed prefer banana frozen yogurt.

The supplies are packed inside a cube – shaped box with side lengths 4 ½ in. These boxes are then packed into a shipping box with dimensions of 18 in x 9 in x 4 ½ in.

Answers

Answer:

eight cubes can be shipped.

Step-by-step explanation:

The height of the shipping box is the same as the height of the boxes that are about to be shipped. (4 1/2 inches). So you can get 1 layer of the boxes to be shipped.

The length of the shipping box is 18 inches. You will be able to get 18/4.5 = 4 boxes along the 18 inch side.

The 9 inch side will allow 2 boxes.

In all you can ship 2 * 4 boxes in the shipping box which is eight 4 1/2 inch cubes in all.

solve the picture, solve n

Answers

Answer: n = 63

Step-by-step explanation:

n ÷ 21 = 3

Do the opposite to find n!

3 × 21 = 63

So, to check our answer

63 ÷ 21 = 3

n = 3

:))

Answer:

[tex]21*\frac{n}{21} 3*21[/tex]  ← Multiply both sides by 21[tex]n=63[/tex]   ← Simplify

----------------------------------

Answer:

n = 63

Check by substituting the solutions back into  [tex]\frac{n}{21} =3[/tex]

-------------------------------

hope it helps...

have a great day!!

Kiara made a square blanket. she decided to add 1 foot of material to one side, then cut four inches off tfrom the adjacent side. the area of the resulting blanket is 960 square inches. find the area​

Answers

Final answer:

The original blanket was a square with side 31 inches both in length and width. After adding 1 foot to one side, and subtracting 4 inches from the other, new dimensions are 43 inches and 27 inches, respectively. Thus, the new area of the blanket is 1161 square inches.

Explanation:

To solve this problem, we first need to note that the area of a rectangle (which our blanket has now become) is the product of its length and width. Since Kiara's blanket was originally a square before she added 1 foot to one side (12 inches) and subtracted 4 inches from the adjacent side, the original side length was the square root of the given area, i.e., √960 inch² = 31 inch. So, one dimension after alteration is 31 inches + 12 inches = 43 inches, and the other (after cutting) is 31 inches - 4 inches = 27 inches. Therefore, the new area of the blanket is 43 inches x 27 inches which equals 1161 square inches.

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The area​ of the original blanket is 784² square inches

Let's denote the side length of the original square blanket as 'x' inches.

After adding 1 foot (12 inches) to one side, the length of that side becomes x + 12 inches.

After cutting 4 inches off from an adjacent side, the length of that side becomes x - 4 inches.

We are given that the area of the resulting blanket is 960 square inches. This can be expressed as:

(x + 12)(x - 4) = 960

Expanding the left side of the equation, we get:

x^2 + 8x - 48 = 960

Adding 48 to both sides of the equation, we get:

x^2 + 8x = 1008

Dividing both sides of the equation by x, we get:

x + 8 = 1008/x

Solving for x using a quadratic equation solver or by trying out different values, we find that x ≈ 28.

Therefore, the area of the original square blanket is:

x^2 = 28^2 = 784 square inches

Complete question

Kiara made a square baby blanket. She decided to add 1 foot of material to one side, then cut 4 inches of material off from an adjacent side. The area of the resulting blanket is 960 square inches. Find the area of the original blanket. A) 625in^2 amazed B) 676in^2 perplexed C) 729in^2 thrilled D) 784in^2 baffled

PLZ HELP

Ivan is doing an experiment with a number cube. About how many times should he expect to roll an even number on the number cube if he rolls it 600 times?

Answers

Answer:

300

Step-by-step explanation:

A number cube has total six possible outcomes:

1, 2, 3, 4, 5 and 6

Probability of the occurrence of each side is: 1/6

From the possible outcomes, the even number are 2,4,6

Therefore the probability of the occurrence of an even number is:

1/6 + 1/6 + 1/6

=> 3/6

=> 1/2

1/2 probability shows that if a number cube is rolled 'n' times, (1/2)*n number of chances are it is an even number.

So the expectation of rolling an even number with 600 trials is:

(1/2)*600

=> 300    

Answer:

its numbers

Step-by-step explanation:

What's 1-1 please help.

Answers

the answer to “1-1” is 0

Answer:

Yes. 1-1=0

Step-by-step explanation:

The steps are:

Step 1: Hold 1 finger up.

Step 2: Put that one finger down and that's what 1-1 is.

Hope this helps a LOT.

please help, i’ve been in apex and i don’t know what the answer is

Answers

Answer:

A

Step-by-step explanation:

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{7}{17.46}[/tex] ≈ 0.40 → A

whats the volume of the cylinder ​

Answers

I think it is 63cm3.

Answer:

63 cm³

Step-by-step explanation:

The linear ratio between the 2 cylinders = 1 : 4

The volume ratio = 1³ : 4³ = 1 : 64

Thus the volume is 64 times smaller than the large cylinder

volume = [tex]\frac{4032}{64}[/tex] = 63 cm³

Simplify 12/16 to lowest terms and find an equivalent fraction that has a denominator of 32

Answers

The lowest terms are 3/4 using the the least common denominator. The equivalent fraction over 32 would be 24/32 because it would reduce to 3/4 as well

Given:

The fraction value is:

[tex]\dfrac{12}{16}[/tex]

To find:

The simplified form of the given value and then find the equivalent fraction that has a denominator of 32.

Solution:

We have,

[tex]\dfrac{12}{16}[/tex]

It can be written as:

[tex]=\dfrac{3\times 4}{4\times 4}[/tex]

Cancel out the common factors.

[tex]=\dfrac{3}{4}[/tex]

Therefore, the simplified form of the given fraction is [tex]\dfrac{3}{4}[/tex].

Multiply numerator and denominator by 8 to find the equivalent fraction that has a denominator of 32.

[tex]\dfrac{3\times 8}{4\times 8}=\dfrac{24}{32}[/tex]

Therefore, the equivalent fraction that has a denominator of 32 is [tex]\dfrac{24}{32}[/tex].

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he initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number. Enter your answer in the box.

Answers

Answer:

27 views

Step-by-step explanation:

Week 1: 15 views

Week 2: 15 x 1.22 = 18.3 views

Week 3: 18.3 x 1.22 = 22.326 views

Week 4: 22.326 x 1.22 = 27.24 views

Help please and thank you

Answers

C
s-c=1/2a^2(v)
2(s-c)=a^2(v)
v=2(s-c)/a^2
Answer:

The correct option is C

Step-by-step explanation:

See the attached image

Please find the area of the shaded region.

Answers

here is the solution to the question

ectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation? (x, y) → (x + 5, y – 3) (x, y) → (x + 5, y + 3) (x, y) → (x – 3, y + 5) (x, y) → (x + 3, y + 5)

Answers

Answer: third option.

Step-by-step explanation:

By definition, translation is transformation in which you move the shape.

Then, you know that the rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

Therefore, you must add 5 units to each y-coordinate and subtract 3 units to each x-coordinate.

So, keeping the above on mind, you can conclude that the rule that describe this translation is the shown below:

[tex](x,y)[/tex]→[tex](x-3,\ y+5)[/tex]

 

A medical researcher prepares a number of sugar tablet doses. The only ingredient is sugar, they are absolutely safe to administer, and they have no medical effects whatsoever. The likely purpose of these tablets is:

Answers

Answer:

The answer is probably E (placebos)

Step-by-step explanation:

Because the sugar tablets will do nothing to the patient, the reasearcher wants to see how the patient will act thinking that they are being treated with medication, when infact it is just a sugar tablet, he is trying to find out the psychological effect it will have on the patient, so the answer is E.

Final answer:

The sugar tablets devoid of any medical effects are most likely used as placebos in medical research. They serve as a control measure in drug trials to ensure any observed changes are attributed to the medication being tested and not from biases or expectations.

Explanation:

In the field of medical research, sugar tablets without any medical effects are likely used as placebos. Placebos are administered as control measures in experimental studies to ensure that any observed effects can be attributed to the medication being tested, rather than participant expectations or experimenter bias. For instance, in a drug trial, one group (the experimental group) receives the medication, while another group (the control group) receives a placebo, in this case, a sugar tablet. If the experimental group shows different results as compared to the control group, it can be deduced the differences are likely due to the drug itself. This process helps to maintain the integrity and credibility of medical research.

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Lillian collects stickers. Of her collection, 5/12 are animals stickers. Of remainder, 5/14 are flower stickers. What fraction of her stickers are not animal or flower?

Answers

well, this is simple subtraction as it is! 12-5= 7 so 7 for animal. 14-5= 9 so 9 for flower. 9+7= 16! so your final answer is, 16.

Answer:

The fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Topic: Fractions

Let A represent the fraction of stickers that are animals

Let S represent the remaining stickers including the flower stickers

Given

A = [tex]\frac{5}{12}[/tex]

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + S = 1;

By Substitution, A + S = 1 becomes

[tex]\frac{5}{12} + S = 1[/tex] ------ Collect like terms

[tex]S = 1 - \frac{5}{12}[/tex]

[tex]S = \frac{12 - 5}{12}[/tex]

[tex]S = \frac{7}{12}[/tex]

Hence, the fraction of her stickers that are not animal is [tex]\frac{7}{12}[/tex]

From the question, we have that [tex]\frac{5}{14}[/tex] of the remainder are flower stickers.

Let F = Flower Stickers

F = [tex]\frac{5}{14}[/tex] * S

F = [tex]\frac{5}{14}[/tex] * [tex]\frac{7}{12}[/tex]

F = [tex]\frac{5}{2}[/tex] * [tex]\frac{1}{12}[/tex]

F = [tex]\frac{5}{24}[/tex]

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + F + R= 1;

R = 1 - A - F

Where R represent the fraction of stickers that are not animal or flower

[tex]R = 1 - \frac{5}{12} - \frac{5}{24}[/tex]

[tex]R = \frac{24 - 10 - 5}{24}[/tex]

[tex]R = \frac{9}{24}[/tex]

Hence, the fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]

Please help !

Graph ; Y= 3= 1/2 (x+3)

Answers

Answer:

See picture.

Step-by-step explanation:

This line is in point slope form [tex]y - y_1 = m(x-x_1)[/tex] where [tex](x_1, y_1)[/tex] is a point on the line. Begin graphing the line by first graphing the point (-3, 3) from the equation. Then move up 1 unit and over 2 units according to slope. This new point is (-1,4).

Answer mine!

Step-by-step explanation:

Answer my question to please!!

how many seconds are in 2 1/2

Answers

Answer:

if you mean minutes the answer is 150 seconds

Step-by-step explanation:

each minute is 60 seconds so 2 minutes is 120 and the half a minute is 30 seconds so 60+60+30=150

if you ment hours then the answer is 9000 seconds

2 and a half days= 216000

Answer: Depends

Step-by-step explanation: For minutes, it's 150 seconds. Every minute is 60 seconds, and 2.5*60 = 150. If you mean hours, then it's 9000 seconds. That equation would be [tex](60*60)*2.5[/tex]. If you mean milliseconds, then it would be 0.0025 seconds.

What is the general form of the equation of a circle with the center at (-2,1) and passing through (-4,1)

Answers

Answer:

[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

The general form of an equation of a circle:

[tex]x^2+y^2+Dx+Ey+F=0[/tex]

We have the center (-2, 1). Substitute to the equation in the standard form:

[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]

Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:

[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]

Therefore we have the equation:

[tex](x+2)^2+(y-1)^2=4[/tex]

Convert to the general form.

Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]

John had 5 apples, Jimmy took 4. How many apples does John have now?​

Answers

one apple left you subtract 5 from 4 and get 1

Answer:

1

Step-by-step explanation:

ok so if john had 5 but then micky mouse said oh no this is worng and mutiplie that by 903238424203849 x 0q98e0qw98e9q0we9w0q that is if the answer your looking for is 1 :>

what os two ways to show 76x29​

Answers

Do a box and split it into four then on 1/4 do 70, 1/4 do 6 then on the top side do 20 and 4 and multiply

A graduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. Their enrollment capacity this year was 120 graduate students. Beginning next year, the school plans to triple this number every year, with a target enrollment capacity of 3,240 students. Which equation represents this situation, and after how many years, t, will the graduate school be able to achieve its target enrollment capacity? A. 120(3)t = 3,240; t = 3 B. 120 + (3)t = 3,240; t = 7 C. (120 · 3)t = 3,240; t = 2 D. 120(1.3)t = 3,240; t = 27

Answers

Answer:

A. 120(3)t = 3,240; t = 3

Step-by-step explanation:

We are given that enrollment capacity for first year = 120

The school plans to triple the capacity every year.

Assuming t to be the number of years, the capacity for every t year will be [tex]3^t[/tex].

This is expressed by the equation [tex]120(3)^t = 3240[/tex]

Substituting t =3 in the above equation to get:

[tex]120(3)^3 = 120\times 27=[/tex] 3240

So the equation is true when t = 3.

Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.

Answer: the one your looking for is A

Mark all the statements that are true.

A. The range for this function set (3)
B. All real numbers are in the range of this function
C. This graph is not a function because the value of y is the same for every value of x.
D. The domain for this function is the set. (3)
E. The domain for this function is all real numbers.

Answers

Answer:

A, E

Step-by-step explanation:

The function is the rule that maps to each x exactly one y (these y can be the same). Thus the given graph represents the function (option C is false).

The domain of the function are all possible values for x. Thus, from the given graph the domain of the function are all real numbers (option E is true, option D is false).

The range of the function are all possible values for y. Thus, from the given graph the range of the function is the set {3} (option A is true, option B is false).

Answer:

A&E

range is the y axis so its stuck at 3 and the

domain is all real numbers

A&E

I need to know what is 18% of 27 please help

Answers

Answer:

4.86

Step-by-step explanation:

27*.18=4.86

Answer:

4.86

Step-by-step explanation:

The decimal form of 18% is 0.18. Multiply that by 27 to get 18% of 27

27 x 0.18 = 4.86

Hope this helps!

Please give me brainliest answer! Thanks!

10..................................

Answers

Answer:

The answer is 7 ⇒ answer (C)

Step-by-step explanation:

∵ (3 + √2)(3 - √2) =

  9 - 3√2 + 3√2 - 2 = 9 - 2 = 7

∴ The answer is 7

For this case we must simplify the following expression:

[tex](3+ \sqrt {2}) (3- \sqrt {2})[/tex]

We apply distributive property:

[tex]9-3 \sqrt {2} +3 \sqrt {2} - \sqrt {2} * \sqrt {2} =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]9 - (\sqrt {2}) ^ 2 =\\9-2 =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]9-2=7[/tex]

So, we have:

[tex](3+ \sqrt {2}) (3- \sqrt {2}) = 7[/tex]

Answer:

Option C

Put the following fractions in order from least to greatest.
a. 7/3
b. 8/2
c. 2/1
d. 6/5
A) a, d, b, c
B) b, a, d, c
C) c, a, b, d
D) d, c, a, b
Pls answer fast!

Answers

I think the correct answer is C

Answer:

D) d,c,a,b

Step-by-step explanation:

To arrange the fractions in the order requested we have to express them to a common denominator . This is done by finding the Least common multiple of the denominators. Thus, the fractions,7/3, 8/2, 2/1,6/5, the L.C.M of the denominators is 30 thus lets divide the L.C.M by the denominator of each number then multiply with the numerator.

7/3=70/30

8/2=120/30

2/1=60/30

6/5=36/30

thus from the least  to the largest we arrange them as follows 6/5, 2/1, 7/3 then 8/2

the height of the slide is 10 feet. The distance between the ladder and the edge of the slide is 12 feet. what is the distance of the slide?​

Answers

Answer:

a^2 + b^2 = c^2 so

10^2 + 12^2 = Distance

100 + 144 = C^2

15.62 ft=C or the distance of slide

Step-by-step explanation:

A _____ economy is based on personal choice. business command supply market

Answers

Answer:

The answer is "Market" economy

Answer:

A Market economy is based on personal choice.

Step-by-step explanation:

Edge 2021-2022

The length of a school hallway is 115 meters how many kilometers long is the hallway

Answers

Answer:

0.115 kilometers

Step-by-step explanation:

One kilometer is equal to 1,000 meters, so 115 meters is

115/1,000 kilometers,  or 0.115 kilometers

What is
[tex] - \frac {12}{80} [/tex]
as a decimal?​

Answers

Answer:

12/80 as a decimal equals 0.15

Step-by-step explanation:

Answer: -0.15

Step-by-step explanation:

Get both sides on 100

12 + 12 * 1/4 = 15

80 + 80 * 1/4 = 100

-15/100 = -0.15

a bank loaned out $13,000 part of it at a rate of 8% per year and the rest at 16% per year. if the interest received in one year totaled $1500 how much was loaned at 8%. ​

Answers

Final answer:

To find out how much of the $13,000 was loaned at 8%, set up a system of equations based on the total amount of the loan and the total interest received. Solve the equations to find that $7,250 was loaned at an 8% interest rate.

Explanation:

The student is dealing with a problem related to the allocation of two different simple interest rates for portions of a loan. To find out how much was loaned at 8%, we set up two equations representing the amounts loaned at each rate and the total interest earned. Let's assume the amount loaned at 8% is x and the amount loaned at 16% is y. The following system of equations can be formed:

x + y = 13000 (total amount loaned)0.08x + 0.16y = 1500 (total interest earned)

By solving this system of equations, we can determine the value of x and y.

The first step is to express y in terms of x from the first equation: y = 13000 - x. Next, we substitute this expression into the second equation: 0.08x + 0.16(13000 - x) = 1500. Simplifying this gives us 0.08x + 2080 - 0.16x = 1500, which further simplifies to -0.08x = -580. Dividing by -0.08, we find x = 7250. Therefore, $7,250 was loaned at 8%.

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Which of the following statements are true for images formed by thin lenses?Check all that apply.A diverging lens always produces a virtual image of an object placed in front of it.A diverging lens always produces an upright image of an object placed in front of it.A converging lens always produces an inverted image of an object placed in front of it.A converging lens always produces an image that is larger than the object.A diverging lens always produces an image that is larger than the object.A converging lens always produces a real image of an object placed in front of it. Why are certain traits adaptations in one ecosystem, but not in another? A. All ecosystems have the same amount of competition. B. Organisms can learn new adaptations. C. Ecosystems can have different conditions. D. Organisms lose adaptations when they migrate. True or false the blues was a style of music born of suffering What technique did Emily Bronte use in this excerpt from Wuthering Heights to make the description more vivid?"A high wind blustered round the house, and roared in the chimney."A. onomatopoeiaB. sensory detailsC. imageryD. metaphor Identify the graph of 4x^2+5y^2=20 for T(5,-6) and write an equation of the translated or rotated graph in general form. (picture provided) there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks are on the highway? Now substitute each of these values into the correct blank space in the quadratic formula.(1.__)(2.___)24(3.___)(4.___)2(5.__)1__2.__3.__4.__5.__Question 3 (2 points) Can you guys pls help me out Which best describes the relationship between the Afghan-Soviet conflict of the 1980s and the U.S.-Iraq conflict that began in 2003? A. Both were viewed by Islamic extremists as foreign occupation of holy territory that must be withstood. B. Both were viewed by the United States as justified occupations of territory in the name of nation-building. C. Osama bin Laden participated in the first one as a jihadist and in the second as a general in the Iraqi resistance. D. The Soviet action was condemned by other global powers, whereas the United States had a high degree of multilateral support. Reset 3. Find the volume of the cylinder 4. Find the volume of a cylinder with a diameter of 16mm and a height of 5.7 mm. Which of these statements best summarizes the events that take place in the land of the Lotus Eaters (Lotophagi) in Homer's Odyssey?A.Odysseus eats the lotus fruit and refuses to leave the island. His men take him back to the ship forcefully and tie him to the mast.B.Some of Odysseus's men taste the lotus fruit and refuse to leave the island. Odysseus takes them back to the ship by force.C.Odysseus and his men plunder the island and kill the Lotophagi, thereby enraging Sol, the sun god.D.The Lotophagi launch a surprise attack and imprison Odysseus and his men in their cave, threatening to devour them. why are 21st century leaders more open to hearing suggestions from their employees? Determine the Domain of the relation{(x, y): y = x/x-8} solve for x {please lol} Combining two sentences into one? The giraffe finds the nests. The nests belongs to the birds. Read the following sentence and complete the instruction that follows. the student were interviewed by the reporter. rewrite the sentence using active voice. Which law did the government pass in order to encourage competition in the economy?the Federal Anti-monopoly Actthe Sherman Antitrust Actthe Contraction Actthe Civil Rights Act What is the probability that the roll of a six-sided die will be either even or odd? Which sentence has the most negative connotation? O A. The rich smells of cooking drifted upstairs and tickled my nose O B. The smell of food came to my nose from the other room. O C. The oily odor of cooking food clung to my clothes. O D. The scent of the meal traveled upstairs, where I smelled it. merchantilism was the reason that Europeans first set up trading posts and colonies in... a.china and japan b.africa and asia c. asia and north America d.africa and india Steam Workshop Downloader