The sum of two angles in a triangle totals 117 degrees, what is the measure of the third angle

Answers

Answer 1

All 3 angles in a triangle ALWAYS add up to 180 degrees.

117 degrees + 3rd angle = 180
3rd angle = 180 -117
3rd angle = 63 degrees

Related Questions

what is: 2/3 X 5/6 X 14 =

this is so that i can help a 5th grader. and i am horrible at fractions. please show work and or explain how to do it. so that i can show her how to do it as well.,

Answers

sure. (2/3)=.667 and 5/6=.833. when you multiply them it should look like (.667) x (.833) x 14 which equals 7.778. i hope this helps.

Which of the following is true for the angular momentum of a rotating bicycle wheel?
(Points : 1)
It is a vector that points in the direction the bike would travel.

It is a vector that points along the axis of rotation perpendicular to the wheel.

It is a vector pointing radially outward from the center to the edge of the wheel.

It is a scalar.,

Answers

What is true is that it’s a vector that points along the axis of the rotation of the wheel. With each spin of the bike’a wheel, the vector is continuolously being pressed where the momentum goes

If △STU ~ △XYZ, which statements must be true? Check all that apply. ∠S ≅ ∠X ∠T ≅ ∠Y ST = XY SU = XZ

Answers

Answer:

A.) ST/XY = TU/YZ
C.) <S congruent to <X
D.) <T congruent to <Y

Two triangles are similar if and only if there corresponding angles are congruent and the ratio of there corresponding sides are equal. Triangle STU is similar to triangle XYZ than [tex]\rm \angle S \cong \angle X[/tex] , [tex]\rm \angle T \cong \angle Y[/tex] and [tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex].

Given :

[tex]\rm \Delta STU \sim \Delta XYZ[/tex]

Two triangles are similar if and only if there corresponding angles are congruent and the ratio of there corresponding sides are equal.

Now, it is given that triangle STU is similar to triangle XYZ. This condition is only true when:

[tex]\rm \angle S \cong \angle X[/tex]

[tex]\rm \angle T \cong \angle Y[/tex]

[tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex]

It can be conclude that if triangle STU is similar to triangle XYZ than [tex]\rm \angle S \cong \angle X[/tex] , [tex]\rm \angle T \cong \angle Y[/tex] and [tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex] . Therefore, the correct option is A), C) and D).

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emily is converting 9 feet per hour into inches per minute. which conversion factor should she use

Answers

[tex] 9 \dfrac{ft}{hr} \times \dfrac{12~in}{ft} \times \dfrac{hr}{60~min} = [/tex]

[tex] = 9 \dfrac{ft}{hr} \times \dfrac{12~in \times hr}{60~ft \times min} [/tex]

[tex] = 9 \dfrac{ft}{hr} \times \dfrac{1~in \times hr}{5~ft \times min} [/tex]

The conversion factor is 1/5.

Cara muffin recipe calls for 1 1/2 cups of flour for the muffins and 1/4 cup flour for the topping.If she makes 1/2 of the original recipe.How much flour will she use.

Answers

The amount of flour she is using all together is 7/8.
The amount of flour she is using for the muffins is 6/8,
and the amount of flour she is using for the topping is 1/8.

Hope this helps

The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Recipe:

Amount of flour for muffins = [tex]1\frac{1}{2}[/tex] = 3/2 cups

Amount of flour for toppings = [tex]\frac{1}{4}[/tex] = 1/4 cups

The total amount of flour:

= 3/2 + 1/4

= (12 + 2) / 8

= 14 / 8

= 7/4 cups

We see that the total amount of flour needed to make one Cara muffin recipe is 7/4 cup of flour.

To make 1/2 of the original recipe.

The amount of flour needed:

1 recipe = 7/4 cups

Divide both sides by 2.

1/2 recipe = 1/2 x 7/4 cups

1/2 recipe = 7/8 cups

Thus,

The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.

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This is a word problem where you have to create an equation and a solution to.

"Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the team's points and Aleah scored one tenth's of the teams points. Together they scored a total of 42 points. How many points did the team score?"

(I might find an equation for it, but I doubt it so if anyone is good with creating equations for word problems please help me!!)

-matty

Answers

You are asked to find the team score, so it is convenient to let a variable represent that value. Let's call it "s", for "score". The problem statement tells you
.. Michaela scored s/5 . . . . . one fifth of the team's points
.. Aleah scored s/10 . . . . . . . one tenth o the team's points
These scores together are (s/5 +s/10) and that amount is 42 points.
.. s/5 +s/10 = 42
.. s(2/10 +1/10) = 42 . . . . . factor out s
.. s(3/10) = 42 . . . . . . . . . . form the sum of the numbers in parentheses
.. s = 42*10/3 = 140 . . . . . multiply by the inverse of the coefficient of s

The team scored 140 points.

______
Michaela scored 140/5 = 28 points; Aleah scored 140/10 = 14 points.

Final answer:

To solve this word problem, set up the equation (1/5) x + (1/10) x = 42 and solve for x. The team scored 140 points.

Explanation:

To solve this word problem, we can start by letting the total number of points scored by the team be represented by 'x'. Since Michaela scored one-fifth of the team's points, her score can be represented as (1/5)x. Similarly, Aleah's score can be represented as (1/10)x. Together, their scores add up to 42 points, so we can set up the equation:

(1/5)x + (1/10)x = 42

To simplify the equation, we can find a common denominator of 10:

(2/10) x + (1/10) x = 42

Combining like terms, we get:

(3/10) x = 42

To isolate x, we can multiply both sides of the equation by 10/3:

x = 42 * (10/3)

Simplifying further, we get:

x = 140

Therefore, the team scored 140 points.

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Calculate the difference 12.0875 – 7.50 using significant digits.

A. 4.5
B. 4.587
C. 4.59
D. 4.6

Answers

Answer:

C. 4.59

Step-by-step explanation:

Significant digits are digits expressing precision of a measurement. Non-zero digits are always significant but zeroes can be either included or ignored. For instance, zeroes that comes before other digits aren't significant. For example 0.058 has two significant digits. In this exercise, we have two numbers:

12.0875

7.50

The number 12.0875 has five significant digits while 7.50 has three significant digits. If we add or subtract two numbers, the least number of decimal places (that isn't the same as significant digits) in any of the two numbers must be the same as the number of decimal places in the result. Hence, for 12.0875 we have four decimal places and for 7.50 we have two decimal places. Therefore, the result must have two decimal places:

12.0875 - 7.50 = 4.59

The Answer is C. 4.59

Which of the following values are zeros of
x(x+5)(x-3)?
SELECT ALL THAT APPLY.

A. -5
B. -3
C. 0
D. 3
E. 5

Answers

Zeros are values of x that make any of the factors be zero: 0, -5, 3.

Selections A, C, D apply.

pls help me with this one question

Answers

No soulution
This should m=be the answer, but i am 51.1111%sure

The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:

True
False

ILL GIVE BRAINLIEST IF U GET IT RIGHT!!

Answers

The standard method is correct but it shows 53 instead of 5.3
so it is False. Hope it helps

Answer:the answer is false

The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.

Answers

By definition, the volume of a sphere is:
[tex]V = \frac{4}{3} (\pi) (r ^ 3) [/tex]
Where,
r: sphere radio
Substituting values we have:
[tex] V = \frac{4}{3}(3.14)(( \frac{21.6}{2} ) ^ 3) [/tex]
[tex]V = 5273.99424 [/tex] Rounding the result to the nearest tenth:
[tex]V = 5274.0 cm ^ 3 [/tex] Answer:
the sphere's volume is:
[tex]V = 5274.0 cm ^ 3 [/tex]

Solve the system by substitution.

x - 2y = 4
2x - 6y = 8

Answers

1.) x - 2y = 4 , add 2y to both sides. ---> answer is, X = 2y + 4
2.) 2x - 6y = 8, Add 6y to both sides, then divide both sides by 2. --> answer is, X = 3y + 4

Hi there!

To solve this system with substitution, we need to set x equal to [its value] and plug it into the second equation.

x = 2y + 4

2(2y + 4) - 6y = 8
4y + 8 - 6y = 8
-2y + 8 = 8
-2y = 0
y = 0

Now, we plug y into the equation and solve for x.

x = 4

Hope this helps!

Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95. (2 points)
Question 1 options:

1) 203

2) 197

3) 168

4) 163,

Answers

Arithmetic sequences have the same value added repeatedly. There are 17 increments between a1 and a18 and the value changes a total of 102 (95 - -7). 102 divided by 17 shows that the value of 6 is being added each time. The 35th term is then given by a1+(35-1)*6 = -7 + 34*6 = -7 + 204 = 197.

Answer: 197

Step-by-step explanation: I took the test :)))

Determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100.

Answers

Answer:

Step-by-step explanation:

We will make a substitution to make our work easier (when we get there). We also need to know that

[tex]i^2=-1[/tex]

We will use that as another substitution. First, let's make the job of factoring a bit easier. Here's the first substitution. We will let

[tex]x^4=u^2[/tex]

Therefore,

[tex]x^2=u[/tex]

Now we will write the polynomial in terms of u instead of x:

[tex]f(x)=u^2+21u-100[/tex]

Solve for the values of u by setting the polynomial equal to 0 and factoring. When you factor, you will get:

[tex](u+25)(u-4)[/tex]

But don't forget that

[tex]x^2=u[/tex]

so we have to put those back in now:

[tex](x^2+25)(x^2-4)=0[/tex]

By the Zero Product Property, either

[tex]x^2+25=0[/tex] or

[tex]x^2-4=0[/tex]

We will factor the first term. Solving for x-squared gives us:

[tex]x^2=-25[/tex] and

x = ±√-25

which simplifies down to

x = ±√-1 × 25

we can sub in an i-squared for the -1:

x = ±√[tex]i^2*25[/tex]

The square root of i-squared is "i" and the square root of 25 is 5, so

x = ±5i

The next one is a bit easier. If

[tex]x^2=4[/tex], then

x = ±2

You can see you have 4 solutions. But you knew that already, since this is a 4th degree polynomial. The types of solutions are: 2 real, 2 imaginary

Expand the logarithmic expression.

log5(7)a^5

A. log57 • 5log5a
B. log57 + 5log5a
C. 7log5a^5
D. log57 – 5log5a

Answers

The answer for the exercise shown above is the option B, which is:
B. log5(7)+5log5(a)
The explanation of the problem is shown below:
1. You have the following expression given in the problem above:
log5(7)(a^5)
2. To expand it, you must use the logaritms properties, as following:
log5(7)(a^5)
log5(7)+log5(a^5)
log5(7)+5log5(a)
3. Therefore, as you can see, the answer is the option B.

Answer: is b. log57 + 5log5a

Water is flowing into a 50-gallon bathtub at a rate of 2.3 gallons per minute (gpm). To the nearest minute, how long will it take to completely fill the bathtub?

A. 48 minutes
B. 22 minutes
C. 26 minutes
D. 115 minutes

Answers

It would be b. If you divide the 2

Choose the correct product of (7x − 3)(7x + 3). 49x2 + 9 49x2 − 42x + 9 49x2 − 9 49x2 + 42x + 9

Answers

Using FOIL (First Outside; Inside, Last), we find our product.

(7x - 3)(7x + 3) // Given
7x * (7x + 3) // First Outside
49x^2 + 21x // Distribute (remember this)
-3 * (7x + 3) // Inside Last
-21x - 9 // Distribute (remember this)
49x^2 + 21x - 21x - 9 // Add both answers (the one from Outside and the one from Inside)
49x^2 - 9 // Simplify. This is your answer

You can do this, or you can remember that this is a factor for a difference of squares, where

a^2 - b^2 = (a + b)(a - b)

Plug in “7x” for a, “3” for b

Final answer:

The product of the binomials (7x - 3)(7x + 3) is calculated using the difference of squares formula, resulting in 49x² - 9.

Explanation:

To find the correct product of the binomials (7x − 3)(7x + 3), we use the difference of squares formula, a² - b² = (a - b)(a + b). In this case, a is 7x and b is 3. Thus, the product is:

(7x − 3)(7x + 3) = (7x)² - (3)²
= 49x² - 9

Therefore, the correct product is 49x² - 9.

Think it’s b not sure though

Answers

yes, b is correct, imm pretty sure.

For this case what you should know is that you have the area of a quarter of a circle which is:
A1 = 30.25pi cm ^ 2
We now look for the area of the triangle, which by definition is:
A2 = (1/2) * (b) * (h)
Where,
b: base
h: height
Substituting the values:
A2 = (1/2) * (11) * (11)
A2 = 60.5 cm ^ 2
The area of the shaded region will be given by the subtraction of both areas:
A1-A2 = (30.25pi - 60.5) cm ^ 2
Answer:
A1-A2 = (30.25pi - 60.5) cm ^ 2
option 3

What is the value of x? The figure shows 2 right triangles, triangle K L J with right angle J and triangle L J M with right angle M. The measure of angle L K J is 30 degrees. The measure of angle L J M is 45 degrees. The length of side K L is 8 square root 2. The length of side L M is x. Enter your answer in the box.

Answers

Answer: The length of side X is 4.

In triangle KLJ, the hypotenuse is 8 square roots of 2. The side opposite the 30 degree angle is half of that amount. Therefore, it is only 4 square roots of 2.

That side is also the hypotenuse in the 45 45 90 triangle. To find the leg, we simply divide by the square root of 2. We will end of with legs that are 4.

I’m not sure how to use integration to solve this question (4)

Answers

Hello,
[tex]Area= \frac{16}{3}=2*( k*\sqrt{k}- \int\limits^{\sqrt{k}}_{0} {x^2} \, dx )\\\\ \dfrac{8}{3}=k ^\frac{3}{2}- \frac{1}{3}* [x^3]^{\sqrt{^k}}_0\\\\ 2* k ^\frac{3}{2}=8\\\\ k = \sqrt[3]{16}\\ [/tex]

Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He starts out with only 2 guppies, and the function y equals 2 times 4 to the x models the number of guppies he will have after x months. Which graph represents this function?

Answers

For this case what we should know is that the function that best adapts to this problem is given by:
y = 2 * (4) ^ x
The graph of the function is shown for two different intervals:
A small interval of -1.5 to 0.5
A larger interval of -6.5 to 6.5.
In both intervals the exponential growth of the function is demonstrated.
Answer:
See attached image.

The radius of a circle is equal to half of its diameter. What is the RADIUS of this circle?

Answers

If the diameter is 18, the radius would be nine. Someone please tell me if I missed something.

9 are you looking for area or circumference A= 3.14 x (9x9) c= 3.14 x 9 x2

Most flat screen TVs today are made with an aspect ratio (ratio of the length to the height) of 16:9. Xenock Electronics' top selling TV is their 28-inch model, whose viewing area has a length of 24 inches and a height of 13.5 inches. This TV costs $226.99. They have three main competitors that claim to offer a better deal per viewing area. Phil's Supercenter claims their 18-inch model, whose viewing area length is of the length of Xenock's 28-inch model, is a better deal per viewing area at $152.99. Tyler's Electronics claims their 33-inch model, whose viewing area height is 20% taller than Xenock's 28-inch model, is a better deal per viewing area at $276.99. Beltre's Superstore claims their 82-inch model, whose viewing area dimensions are 300% as large as Xenock's 28-inch model, is a better deal per viewing area at $2,079.99. List the TV's in order of best deal per viewing area. Assume all TV's have the same aspect ratio.

Answers

List of the TV's according to best deal per viewing area.
1. Phil's Supercenter: 24 inches in length x 13.5 inches in height = 324 inches in viewing area for $152.99 or $0.47/inch

2. Tyler's Electronics: 28.8 inches in length x 16.2 inches in height = 466.56 inches in viewing area for $276.99 or $0.59/inch

3. Xenock Electronics: 24 inches in length x 13.5 inches in height = 324 inches in viewing area for $226.99 or $0.70/inch

4. Beltre's Superstore: 72 inches in length x 40.5 inches in height = 2,916 inches in viewing area for $2,079.99 or $0.71/inch

Tyler's, Xenock's, Beltre's, Phil's

2. Solve 10^6x = 93. Round to the nearest ten-thousandth. (1 point)

11.8109
1.0986
13.3801
0.3281

3. Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth. (1 point)

2.91
3.92
1.31
0.97,

Answers

2. 0.3281
3. 1.31

2. 10^(6x) = 93
For this problem, using a calculator makes it quite simple. What you want is the power that you can raise 10 to that gives you 93. That value is the logarithm of 93 to base 10. So
10^(6x) = 93
log(10^(6x)) = log(93)
6x = 1.968482949
x = 0.328080491
x = 0.3281

3. This problem is both trickier and easier than the previous. All you need to do is plot the function on your calculator and look for the answer that's nearest which is 1.31, you could also get a more precise answer by calculating the logarithm to base 5.5 of 805. You won't find such a logarithm function on your calculator, but that isn't a major problem since you can easily convert a logarithm from any base to any other base by simply dividing by the logarithm of the desired base. So:
5.5^(3x) = 805
log(5.5^(3x)) = log(805)
log(5.5^(3x))/log(5.5) = log(805)/log(5.5)
log to base 5.5 of 5.5^(3x) = log(805)/log(5.5)
3x = 2.90579588/0.740362689
3x = 3.92482755
x = 1.30827585
x = 1.31

1. B

2. D

3. C

4. A

5. B

ESKETIT

The formula v =sqrt 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. Find the velocity of an object that has fallen 75 feet. Round to the nearest tenth.,

Answers

I think first that the 64 h should be in parantheses so v=sqrt(v*h) where sqrt means square root. If it falls 75 feet, then here h is 75 ft. Then v=sqrt(64*75)=sqrt (4800)=69.282. Rounded to the nearest tenth our answer would be 69.3 ft/sec.

a factory worker can make 14 products in 45 minutes. what is the worker's unit rate?

Answers

Divide the number of products by the time.

unit rate = (14 products)/(45 minutes) = 0.311 products/minute

Since there are 60 minutes in an hour, if you want the unit rate in products per hour, just multiply what we got above by 60.

unit rate = 18.667 products/hour

3.2 minutes per products

divide 14 by 45.0 = 3.2 r 30

hope this helps

A circle of radius 1 centered at (4, 0) is rotated about the y-axus. Draw a picture of the three-dimensional shape that is produced when the circle is rotated about the y-axis. In two or more complete sentences, describe the three-dimensional shape. Upload both parts A and B as your final answer.

Answers

Answer: The three-dimensional shape that would result would be in the shape of a donut.

Imagine taking a knife and cutting a slice in a donut. The cross-section of where you cut would be a circle. This is what would happen if you rotated the circle around the y-axis. It would be like that cross-section of the donut going around the entire circle.

Final answer:

When a circle rotates around the y-axis, it forms a three-dimensional object known as a cylinder. The cylinder will have a radius of 1 and height equal to the diameter of the circle, which is 2.

Explanation:

When a circle of radius 1 centered at (4,0) is rotated about the y-axis, the three-dimensional shape that is produced is known as a cylinder.

This cylinder would have a radius of 1, and its height would be equal to the length of the diameter of the original circle, which is 2 units (from -1 to 1 along the x-axis).

In terms of the visual representation, imagine a circle on a piece of paper, now pick up the paper and rotate it about the line that is the y-axis. The paper, on which the circle is drawn, forms a cylindrical shape when rotated. The edges of the paper represent the bases of the cylinder and the surface of the paper forms the curved surface of the cylinder.

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The following sequence is an arithmetic sequence what comes next ? 7,___,17

Answers

Since this is an arithmetic sequence, you can conclude that the addition to the number is constant.

Let x = the number asked

k = constant number added to the sequence

7 + k = x

x + k = 17

Solve the system of equation:

7 + k + k = 17

7 + 2k = 17

2k = 10

k = 5

Therefore, the missing number is 12 (7 + 5).

What is the value of n? Enter you answer in the box.

Please help! Even just explaining how to do it will help a lot.

Answers

check the picture below.

Answer:

The value of n is [tex]n=4[/tex]

Step-by-step explanation:

we know that

The intersecting chords theorem states that the products of the lengths of the line segments on each chord in a circle are equal

In this problem

[tex](n+2)16=(n+8)8[/tex]

solve for n

[tex]16n+32=8n+64[/tex]

[tex]16n-8n=64-32[/tex]

[tex]8n=32[/tex]

[tex]n=4[/tex]

Which is an example of the associative property?
A) x + 5 = 5 + x
B) (x + 3) + 7 = x + (3 + 7)
C) 3 • (x + 5) = 3 • x + 15
D) If x = a, and a = 7, then x =

Answers

The first thing we are going to do to solve the problem is to define what associative property is:
Associative property Property that is fulfilled if, given any three elements of a given set, it is verified that there is an operation that verifies equality
An expression that meets the definition is:
(x + 3) + 7 = x + (3 + 7)
We observe that both members of equality are identical, but written in different ways.
Answer:
B) (x + 3) + 7 = x + (3 + 7)

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Viewers would have to visualize the actions and movements of Ben and Regina. how did manifest destiny affect Spanish and Mexican rule in California Factor completely. 12x^4+18x^3+45x^2 The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. on a certain day, 308 people entered the park, and the admission fees collected totaled 812 dollars. how many children and how many adults were admitted? If arc SQ = 92 and arc QR = 86, what is the measure percent of RPS Free jazz was developed as a reaction to A. high ticket prices. B. World War I. C. European influence. D. major/minor tonality. What are some strategies you can use for preparing oral instructions? Select all that apply.use high-level vocabularyuse simple, clear languagebegin with a statement about your purposestate the steps in the right order figure skating a. patinaje de belleza c. patinaje de figuras b. patinaje de velcidad which of the following were one military advantage of western nations in the late 1800s that helped them colonize much of the world? a. tanks b. machine gunsc.poison gas weapons The switch to staple crop production on plantations in southeast asia resulted in which outcome? Screenshot included! MY LAST QUESTION! What is the volume of this aquarium?96 in2,304 in3,216 in4,608 in In "Everyday Use," why does Dee change her name? A.She hopes that it might distance her from her past. B.She never liked her name. C.She thinks it will make her more attractive. D.She changes her name to please her boyfriend. Why do clouds tend to form at 3pm and 6am Two seventh grade math classes are competing in an academic challenge. Each class will randomly select one class member to compete each week. Each class has 26 students, and half of the students in each class are boys.The classes want to design a simulation that will give the probability of both class members participating in the academic challenge being girls. Two possible simulations are given below.Simulation 1: Flip a coin 26 times. If it lands on heads, count the flip as a girl. If it lands on tails, count the flip as a boy. Count how many times the coin lands on heads.Simulation 2: Use two standard decks of cards. Randomly draw one card from each deck. Each diamond or heart drawn will represent a girl. Each spade or club drawn will represent a boy. After the two cards are drawn, they are replaced and the decks are shuffled. Count how many times a heart or diamond is drawn from both decks for 100 trials.(Simuation 1 or Simulation 2) would be best to use to simulate a girl being randomly selected from each class to participate in the academic challenge. Based on this simulation, the probability that two girls will be selected is about (15%, 50%, 25%, or 75%). why do some people refuse to vaccinate their children? I pushed the canoe! I pushed it into deep water. I heard him cry my name twice; and I heard voices shouting, Kill! Strike! I never turned back. I heard him calling my name again with a great shriek, as when life is going out together with the voiceand I never turned my head.In The Lagoon by Joseph Conrad, what happens to Arsats brother?A. Arsat leaves him behind to be captured and killed.B. He uses a different canoe and escapes.C. He dies from a terrible fever.D. He betrays Arsat. As a result of late-18th- and early-19th century Industrialization in Europe,A)the family bond was forever strengthened.B)poor laborers were able to attain unknown prosperity.C)middle class women often ascended into positions of business leadership.D)working class families were often torn apart by their economic conditions. To make an oil-and-water vinaigrette stable, you could add A. salt. B. mustard. C. shallots. D. herbs.