Consider the triangle ΔXYZ . Find the angle Z given that ZY=30 , ZX=15 , and YX=21

Answers

Answer 1

Step-by-step explanation:

hey bro can get the diagram

Answer 2

Answer:

where is the diagram plz show the diagram

Step-by-step explanation:


Related Questions

John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by 1,000 and got the wrong answer. What should he have multiplied the original area by?
1,000
1,000,000
10
100

Answers

Answer:

1,000,000

Step-by-step explanation:

length increased by 1000

width increased by 1000

1000 * 1000 = 1,000,000

Answer:

hlo buddy

can u msg me.......,.

Find u(n):
u(0)=1, u(1)=16, u(n+2)=8*u(n+1)-16u(n)

Answers

I don't know what methods are available to you, so I'll just use one that I'm comfortable with: generating functions. It's a bit tedious, but it works! If you don't know it, there's no harm in learning about it.

Let U(x) be the generating function for the sequence u(n), i.e.

[tex]\displaystyle U(x) = \sum_{n=0}^\infty u(n)x^n[/tex]

In the recurrence equation, we multiply both sides by xⁿ (where |x| < 1, which will come into play later), then take the sums on both sides from n = 0 to ∞, thus recasting the equation as

[tex]\displaystyle \sum_{n=0}^\infty u(n+2) x^n = 8 \sum_{n=0}^\infty u(n+1) x^n - 16 \sum_{n=0}^\infty u(n) x^n[/tex]

Next, we rewrite each sum in terms of U(x). For instance,

[tex]\displaystyle \sum_{n=0}^\infty u(n+2) x^n = \frac1{x^2} \sum_{n=0}^\infty u(n+2) x^{n+2} \\\\ \sum_{n=0}^\infty u(n+2) x^n = \frac1{x^2} \bigg(u(2)x^2 + u(3)x^3 + u(4)x^4 + \cdots \bigg) \\\\ \sum_{n=0}^\infty u(n+2) x^n = \frac1{x^2} \sum_{n=2}^\infty u(n) x^n \\\\ \sum_{n=0}^\infty u(n+2) x^n = \frac1{x^2} \left(\sum_{n=0}^\infty u(n) x^n - u(1)x - u(0)\right) \\\\ \sum_{n=0}^\infty u(n+2) x^n = \frac1{x^2}(U(x) - 16x - 1) \\\\ \sum_{n=0}^\infty u(n+2) x^n = \frac1{x^2}U(x) - \frac{16}x - \frac1{x^2}[/tex]

After rewriting each sum in a similar way, we end up with a linear equation in U(x),

[tex]\displaystyle \frac1{x^2}U(x) - \frac{16}x - \frac1{x^2} = \frac8x U(x) - \frac8x - 16 U(x)[/tex]

Solve for U(x) :

[tex]\displaystyle \left(\frac1{x^2}-\frac8x+16\right) U(x) = \frac1{x^2} + \frac8x \\\\ \left(1-8x+16x^2\right) U(x) = 1 + 8x \\\\ (1-4x)^2 U(x) = 1 + 8x \\\\ U(x) = \dfrac{1+8x}{(1-4x)^2}[/tex]

The next step is to get the power series expansion of U(x) so that we can easily identity u(n) as the coefficient of the n-th term in the expansion.

Recall that for |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

By differentiating both sides, we get

[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=1}^\infty nx^{n-1} = \sum_{n=0}^\infty (n+1)x^n[/tex]

It follows that

[tex]\displaystyle \frac1{(1-4x)^2} = \sum_{n=0}^\infty (n+1)(4x)^n[/tex]

and so

[tex]\displaystyle \frac{1+8x}{(1-4x)^2} = \sum_{n=0}^\infty (n+1)(4x)^n + 8x\sum_{n=0}^\infty (n+1)(4x)^n \\\\ \frac{1+8x}{(1-4x)^2} = \sum_{n=0}^\infty 4^n(n+1)x^n + 2\sum_{n=0}^\infty 4^{n+1}(n+1)x^{n+1} \\\\ \frac{1+8x}{(1-4x)^2} = \sum_{n=0}^\infty 4^n(n+1)x^n + 2\sum_{n=1}^\infty 4^nnx^n \\\\ \frac{1+8x}{(1-4x)^2} = \sum_{n=0}^\infty 4^n(n+1)x^n + 2\sum_{n=0}^\infty 4^nnx^n \\\\ \frac{1+8x}{(1-4x)^2} = \sum_{n=0}^\infty 4^n(3n+1)x^n[/tex]

which means

[tex]u(n) = \boxed{4^n(3n+1)}[/tex]

1. Which of these sentences are propositions? What are the
truth values of those that are propositions?
a) Boston is the capital of Massachusetts.
b) Miami is the capital of Florida.
c) 2 + 3 = 5. d) 5 + 7 = 10.
e) x + 2 = 11. 1) Answer this question.

Answers

Answer:I have the same problem

Step-by-step explanation

El valor de "x" que es solución de la ecuación 5x + 22 = 2x + 29 es:

Answers

Answer:

x =7/ 3

Step-by-step explanation:

5x+  22=  2x+  29

⇔5x - 2x= 29 - 22

⇔3x = 7

⇔x = 7/3

Question two
The lengths of the sides of a triangle are in the ratio 2:3:4. The shortest side is 14cm long.
Find the lengths of the other two sides​

Answers

Answer:

14 and 21 and 28

Step-by-step explanation:

2:3:4.

The shortest side is 14

14/2 = 7

Multiply each side by 7

2*7:3*7:4*7

14 : 21 : 28

Triangle are in the ratio 2:3:4.

2x =5

x = 5/2 = 2.5 cm

3x = 3(2.5) =7.5 cm
4x =4(2.5) =10.0 cm

Find the line integral with respect to arc length ∫C(9x+5y)ds, where C is the line segment in the xy-plane with endpoints P=(2,0) and Q=(0,7).

(a) Find a vector parametric equation r⃗ (t) for the line segment C so that points P and Q correspond to t=0 and t=1, respectively

(b) Rewrite integral using parametrization found in part a

(c) Evaluate the line integral with respect to arc length in part b

Answers

(a) You can parameterize C by the vector function

r(t) = (x(t), y(t) ) = P (1 - t ) + Q t = (2 - 2t, 7t )

where 0 ≤ t ≤ 1.

(b) From the above parameterization, we have

r'(t) = (-2, 7)   ==>   ||r'(t)|| = √((-2)² + 7²) = √53

Then

ds = √53 dt

and the line integral is

[tex]\displaystyle\int_C(9x(t)+5y(t))\,\mathrm ds = \boxed{\sqrt{53}\int_0^1(17t+18)\,\mathrm dt}[/tex]

(c) The remaining integral is pretty simple,

[tex]\displaystyle\sqrt{53}\int_0^1(17t+18)\,\mathrm dt = \sqrt{53}\left(\frac{17}2t^2+18t\right)\bigg|_{t=0}^{t=1} = \boxed{\frac{53^{3/2}}2}[/tex]

Answer??? I need it in under 5 mins

Answers

Answer:

The answer is 5 units.

Step-by-step explanation:

which expressions are equivalent to the given expression?

Answers

Answer: Choice C. [tex]\frac{1}{x^{2}y^{5} }[/tex]and Choice E. [tex]x^{-2} y^{-5}[/tex]

Step-by-step explanation:

Algebraic exponents.

(y^-8)(y^3)(x^0)(x^-2)

(y^-8)(y^3)(x^-2)

(y^-5)(x^-2)

(1) / (y^5)(x^2)

Options 3 and 5 are correct

Hope this helps!

Pippa had 35 stickers.
She gave an equal number of stickers to 8 friends.
She gave each friend as many stickers as possible and kept the rest for herself.
How many stickers did Pippa keep for herself?
What is the misconception if a student selects D) 27?

A)3
B)4
C)11
D) 27

Answers

Answer:

A) 3

Pippa kept 3 stickers for herself

Answer to question 2:

The misconception of if a student selects D) 27 is that instead of dividing to find out how many stickers Pippa kept for herself, the student subtracted. They subtracted instead of dividing.

Step-by-step explanation:

It said that Pippa gave each of her friends an EQUAL number of stickers and AS MANY STICKERS AS POSSIBLE. This tells us that to find our answer we need to divide and what ever the remainder is, is how many stickers Pippa kept for herself.

(You will kind of need to do long division for this)

35 ÷ 8 = 4

8 x 4 = 32

35 - 32 = 3

Pippa will give each of her friends 4 stickers and will keep 3 for herself.

Step-by-step explanation for question 2:

35 stickers - 8 friends = 27

D) 27 is the wrong answer to question 1/part 1

I hope this helped! c:

Find the measure of each angle in the problem. RE contains point P.

Answers

Answer:

∠3z = 108 degrees

∠2z = 72 degrees

Step-by-step explanation:

First, we need to create an equation.

3z + 2z = 180

5z = 180

Divide both sides by 5:

z = 36

Now, substitute z for five for both angles.

3 x 36 = 108 degrees

2 x 36 = 72 degrees

Hope this helps!

If there is something wrong, please let me know.

A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.

STANDARD DELUXE
STAMPING 3 6
Motor installation 10 10
Wiring 10 15

The standard models contribute $20 each and the deluxe $30 each to profits. Because the Company produces other items that share resources used to make the dishwashers, the Stamping machine is available only 30 minutes per hour, on average. The motor installation Production line has 60 minutes available each hour. There are two lines for wiring, so the time Availability is 90 minutes per hour. Let x = number of standard dishwashers produced per hour y = number of deluxe dishwashers produced per hour.

Required:
a. Write the formulation for this linear program and then solve.
b. What is the value of the optimal profit ?

Answers

Complete Question

Complete Question is attached below

Answer:

[tex]M=160[/tex]

Step-by-step explanation:

From the question we are told that:

Standard models contribute $20

Deluxe  models contribute $30

Availability Average :

Stamping machine S= 30 minutes per hour

Motor installation Production M=60 minutes

Wiring is W=90 minutes per hour

Generally the formulation of the linear program is given as

[tex]Maximium (M)=20x + 30 y[/tex]

Where

For Stamping machine

[tex]S= 3x + 6y \leq 30.....Equ 1[/tex]

For Motor installation Production

[tex]10x + 10y \leq 60....Equ 2[/tex]

For Wiring

[tex]10x + 15y \leq 90....Equ3[/tex]

Therefore

Solving Equ...(1,2,3) simultaneously we have

[tex]x=2\\\\y=4[/tex]

Therefore

[tex]Maximium\ (M)=20x + 30 y[/tex]

[tex]M=20(2)+30(4)[/tex]

[tex]M=160[/tex]

please help me out asap:)

Answers

Based on the information, the triangles share two sides but have one different side. one included angle is bigger than the other.

This means that the triangle with side 2x-4 must be smaller than the triangle with the side 10.

Let first, find it minimum amount. A triangle side must be greater than zero so

[tex]2x - 4 > 0[/tex]

[tex]2x > 4[/tex]

[tex]x > 2[/tex]

The triangle side must be smaller than 10.

[tex]2x - 4 < 10[/tex]

[tex]2x < 14[/tex]

[tex]x < 7[/tex]

So x must be greater than 2 but must be smaller than 7.

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Answers

Answer:

[tex] - 3(x + 4) {}^{2} - 4[/tex]

Step-by-step explanation:

Vertex form is

[tex]a(x - h) {}^{2} + k = f(x)[/tex]

We know that h and k are both -4. Let x be -2 and y be -16.

[tex]a( - 2 + 4) {}^{2} - 4 = - 16[/tex]

[tex]a(2) {}^{2} - 4 = - 16[/tex]

[tex]4a - 4 = - 16[/tex]

[tex]4a = - 12[/tex]

[tex]a = - 3[/tex]

So the equation in vertex form is

[tex] - 3(x + 4) {}^{2} - 4[/tex]

Geometry workkkk I need help it’s due tonightttt

Answers

SAS theorem (side, angle, side)

A motorboat travels 104 kilometers in 4 hours going upstream. It travels 200 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answers

[tex] \Large \mathbb{SOLUTION:} [/tex]

[tex] \begin{array}{l} \text{Let }r\text{ be the rate of the boat in still water and} \\ c\text{ be the rate of the current.} \\ \\ \text{So } \\ \begin{aligned} \quad&\bullet\:\text{Rate Upstream}= r - c \\ &\bullet\:\text{Rate Downstream}= r - c\end{aligned} \\ \\ \text{We know that }\text{Rate} = \dfrac{\text{Distance}}{\text{Time}}. \end{array} [/tex]

[tex] \begin{array}{l} \bold{Equations:} \\ \\ \begin{aligned} &\quad\quad \quad r - c = \dfrac{104}{4} = 26\quad (1) \\ \\ & \quad \quad \quad r + c = \dfrac{200}{4} = 50\quad (2)\\ \\ & \text{Adding (1) and (2), we get} \\ \\ &\quad\quad 2r = 76 \implies \boxed{r = 38\ \text{kph}} \\ \\ &\text{Using (2), it follows that} \\ \\ & \quad \quad c = 50 - r \implies \boxed{c = 12\ \text{kph}} \end{aligned} \end{array} [/tex]

anybody willing to help me?

Answers

Answer:

The answer is a. [tex] \frac{ \sqrt{w} }{ \sqrt[3]{w} }[/tex]

Polynomials with odd degrees typically make a "u-shaped graph" and polynomials with even degrees typically make an "s-shaped" graph.
True
False

Answers

the answer is True :)

The statement that odd degree polynomials have a u-shaped graph and even degree polynomials have an s-shaped graph is FALSE.

What do odd degree polynomials look like on a graph?

Odd degree polynomials have branches that go in opposing directions which means that they will form an s-shaped graph.

Even degree polynomials on the other hand, have graphs that go in the same direction which is why they form u-shaped graphs.

In conclusion, the above statement is false.

Find out more on polynomials at https://brainly.com/question/9696642.

The rate of change for yyy as a function of xxx is

, therefore the function is

.
For all values of xxx, the function value y\:yy

\:000.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
When x=1x=1x, equals, 1, the function value y=\:y=y, equals
.

Answers

everything seems to be correctly filled.

if you wanted confidence by confirmation: here, take some

It is an exponentially decaying function.

What is an exponential function ?

An exponential function is where the independent variable is in the exponent. Generally the the independent variable is in the power of a constant term e.

Exponential functions are of two types one is exponentially growing function and exponentially decaying function.

when the we have a positive exponent the function is exponentially growing and when we have a negative exponent the function is exponentially decaying.

In the given question f(x) = 8e⁻ˣ

when, x = 0 f(x) = 8

f(x) = 8e⁻ˣ

f(0) = 8e⁰

f(0) = 8

Learn more about Exponential functions here :

https://brainly.com/question/15352175

#SPJ5

The Image of a point under Do3, is (7,2).
Its preimage is


A. (7/3, 7/2)

B. (21, 6)

C. (4, -1)

Answers

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (21, 6)

Step-by-step explanation:

The preimage coordinates are multiplied by the dilation factor to obtain the image coordinates. If P is the preimage point and the dilation factor is 1/3, you have ...

  (1/3)P = (7, 2)

  P = 3(7, 2) = (3·7, 3·2)

  P = (21, 6)

The preimage point is (21, 6).

can somebody help with this please

Answers

Answer:

"D"

Step-by-step explanation:

just add the two functions

5x^2 - 8x^2 = -3x^2 etc

I need you guy’s help answer thanks so much

Answers

Answer:C

Step-by-step explanation:

A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt.
Which of the following rates is a unit rate equivalent to the ratios shown above?

A. 2 teaspoons of salt per 1 cup of flour

B. 1/2 teaspoon of salt per 1 teaspoon of baking soda

C .2 teaspoons of salt per 1 teaspoon of baking soda

D. 1 teaspoon of baking soda per 2 teaspoons of salt

Answers

Answer:

all of the above

Step-by-step explanation:

the ratio between the flour, the baking soda, and the salt would = 1:1:2 (disregarding tsp or cup measurements, since all the units stay the same in the choices)

so really, all the answers are correct

hope this helps!

Answer:

B. 1/2 teaspoon of salt per 1 teaspoon of baking soda.

Step-by-step explanation:

The ratio of cups of flour to tsp. of baking soda to tsp. of salt shown above is:

1/2 : 1/2 : 1/4

An equivalent rate to the ratio of tsp. of salt to tsp. of baking soda is 1/2 : 1 because:

Ratio of tsp. of salt to tsp. of baking soda is:

1/4 : 1/2

If we were to find an equivalent rate to this, it would be 1/2 teaspoon of salt per 1 teaspoon of baking soda for:

Multiply 2 to both terms in the ratio 1/4 : 1/2:

1/4 x 2 = 1/2 (simplified)

1/2 x 2 = 1 (simplified)

The new ratio is 1/2 : 1, which also represents the rate 1/2 teaspoon of salt per 1 teaspoon of baking soda.

Hope this helps!

Please comment back if this was correct.

write your answer in simplest radical form​

Answers

Answer:

[tex]9\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 triangle.

It's good to remember this. The side length opposite to the 60 degree angle is always the base multiplied by [tex]\sqrt{3}[/tex]

Answer:

9√3.

Step-by-step explanation:

tan 60 = √3

So w/9 =√3

w = 9√3

You measure 49 turtles' weights, and find they have a mean weight of 80 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 99% confidence interval for the true population mean turtle weight. Round your answers to 2 decimal places.

Answers

Answer:

The 99% confidence interval for the true population mean turtle weight is between 77.76 and 82.24 ounces.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{6.1}{\sqrt{49}} = 2.24[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 80 - 2.24 = 77.76 ounces.

The upper end of the interval is the sample mean added to M. So it is 80 + 2.24 = 82.24 ounces.

The 99% confidence interval for the true population mean turtle weight is between 77.76 and 82.24 ounces.

Find the greatest common factor of the
following monomials:
39c^2
9c^3'

Answers

Answer:

3c^2

Step-by-step explanation:

in which quadrant angle 90+x lies 0 <x<90​

Answers

Answer:

2nd quadrant

Step-by-step explanation

if an angle is between 90 and 180 degrees, it is in the second quardrant. since 0<x<90, 90+x will be more than 90 but less than 180, hence it lies in the second quadrant

y = 60x + 20
y = 65x

Answers

Answer:

4=x y=325

Step-by-step explanation:

60x + 20 = 65x

group the variables

20=5x

because you subtracted 60x from both

4=x

because you divided 5 from both

now substitute 5 for x

65×5 is 325

y=325

Determine the value of k so that the following system has an infinite number of solutions
10x+ky= -8
-15x-6y= 12
Please help.

Answers

Answer:

k=4

Step-by-step explanation:

remove x:

10x.(-3) + ky.(-3)=-8.(-3)         (1)

-15x.2 - 6y.2 = 12.2               (2)

(1) - (2)  => -3ky+12y = 0

<=> (12-3k)y = 0

so that y has infinitely many solutions then

12-3k = 0 => k=4

Terry is building a tool shed with a 90 square foot base and a length that is three more than twice the width. This can be modeled by the equation (2w+15) (w-6)= 0. The length of Terry's tool shed is______ feet.

Answers

Answer:

l = 15 feet

Step-by-step explanation:

l = 2w + 3

First you solve for the width(w)

(2w+15) (w-6) = 0

This means

2w+15=0 OR. w-6=0

First let’s solve 2w+15=0

2w = -15

w = -7.5

Width can’t be negative so that can’t be the answer. So we look at the second equation w-6=0

w= 6

Since we found the width now we can find the length by using the formula l = 2w + 3

= 2(6) + 3

= 12 + 3

= 15 feet

You can check this by using the given area which is 90.

A = lw = 15*6 = 90

What is the x-coordinate of the point of intersection for the two lines below?
-6 + 8y = -6
7x -10y = 9

Answer choices
1.) -6
2.) -3
3.) 3
4.) 7

Answers

Answer:

c.

Step-by-step explanation:

Other Questions
PLEASE HELP!!! Fill in the blank in the following sentence with the appropriate word below :)surprise shawtyyyy... it's c... :D Which is an example of homeostasis? Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c=? d=?) can anyone please help me Diane is concerned about things at work even when she is at home. She also constantly worries about her home life when she is at work. She has a free-floating anxiety that leaves her tense and irritable, impairs her concentration, and results in many sleepless nights. Diane is MOST likely suffering from _____ disorder. determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored forma)find the other zerob) create your factored form equationc) create your standard form equation 3x + ky = 8X 2ky = 5are simultaneous equations where k is a constant.a) Show that x = 3.b) Given that y = 1/2 determine the value of k. Two objects are identical and small enough that their sizes can be ignored relative to the distance between them, which is 0.189 m. In a vacuum, each object carries a different charge, and they attract each other with a force of 1.39 N. The objects are brought into contact, so the net charge is shared equally, and then they are returned to their initial positions. Now it is found that the objects repel one another with a force whose magnitude is equal to that of the initial attractive force. What is the initial charge on each object, part (a) being the one with the greater (and positive) value and part (b) being the other value? The distance a cart moves down a track (from rest) is proportional to the time squared. How far would a cart move down a track (from rest) in two seconds if it moves (from rest) a distance of 20 cm in one second?A) 5 cm B) 10 cm C) 20 cm D) 40 cm E) 80 cm True or false, the four units that must always be used when using the ideal gas law are liters, atm, Kelvin, and grams The boiling points of diatomic halogens are compared in the table.Boiling Points of DiatomicHalogensMoleculeBoiling PointF2-188 CCl2-34 CBr259 C12184CWhich of the following statements best explains the trends in boiling points?The atomic size increases down the group, and this decreases the strength of the intermolecular forces.The total number of electrons decreases down the group, and this decreases the strength of the intermolecular forces.The total number of electrons increases down the group, and this increases the strength of the intermolecular forces.The chances of forming a permanent dipole increases down the group, and this increases the strength of the intermolecular forces. Project Risk Analysis and IdentificationInitial Postings: Read and reflect on the assigned readings for the week. Then post what you thought was the most important concept(s), method(s), term(s), and/or any other thing that you felt was worthy of your understanding in each assigned textbook chapter.Your initial post should be based upon the assigned reading for the week, so the textbook should be a source listed in your reference section and cited within the body of the text. Other sources are not required but feel free to use them if they aid in your discussion.Also, provide a graduate-level response to each of the following questions:1. Explain each of the following steps in risk evaluation and remediation.Risk identification.Risk evaluation for chance of occurrence.Risk evaluation for impact if the risk takes place.The four types of risk remediation.What is a project risk owner.What is a risk threshold.What is a risk matrix.2. Complete a risk analysis for a project involving a family vacation where a family of four is driving 1,000 miles one way to Myrtle Beach, SC to stay for one week at a coastal resort. Include the construction of a risk matrix. :The width of a rectangle is 5 cm more than triple its length. The perimeter of therectangle is 240 cm. What is the length and width of the rectangle? Exercise 1: Choose the most suitable word or phrase 1. London is home to people of many _______ cultures. a. diverse b. diversity c. diversify d. diversification 2. John cannot make a _____ to get married to Mary or stay single until he can afford a house and a car. a. decide b. decision c. decisive d. decisively 3. My mother used to be a woman of great _______, but now she gets old and looks pale. a. beauty b. beautiful c. beautifully d. beautify 4. Although they are twins, they have almost the same appearance but they are seldom in _____. a. agree b. agreeable c. agreement d. agreeably 5. The more _______ and positive you look, the better you will feel. a. confide b. confident c. confidently d. confidence 6. My parents will have celebrated 30 years of _______ by next week. a. marry b. married c. marriageable d. marriage 7. Many Vietnamese people ______ their lives for the revolutionary cause of the nation a. sacrifice b. sacrificed c. sacrificial d. sacrificially 8. They had a ______ candlelit dinner last night and she accepted his proposal of marriage. a. romance b. romantic c. romantically d. romanticize 9. Are there any _____, between Vietnamese and American culture? a. differences b. different c. differently d. differential 10. She_______ decided to walk home alone. a. wise b. unwise c. wisdom d. unwisely 1. Nowadays, young people are free to choose their mates and they are encouraged_____________ at least at the age of 23. a. marrying b. marry c. to marry d. married 2. Some people are concerned with physical _______when choosing a wife or husband. a. attractive b. attraction c. attractiveness d. attractively 3. What could be more_______ than a wedding on a tropical island? a. romance b. romantic c. romanticizing d. romanticism 4. In my hometown, many people still believe in_______ marriage. a. contract b. contractual c. contracts d. contracting 5. ___________ women are responsible for the chores in the house and taking care of the children. a. With tradition b. On tradition c. Traditional d. Traditionally 6. Though their performance was not perfect yet, the students held the audience's_____________ until the end. a. attentive b. attention c. attentively d. attentiveness 7. The survey will cover various ways of ___________ the different attitudes toward love and marriage of today's youth. a. determination b. determine c. determined d. determining 8. Both Asian and Western students seem ______ about how to answer the questionnaire of the survey. a. confusedly b. confused c. confusing d. confusion 19. She was__________ unaware of the embarrassing situation due to her different cultural background. a. complete b. completed c. completing d. completely 20. What is more important to you, intelligence or___________________? a. attraction b. attractiveness c. attractive d. attracted Exercise 2: 1. What is the (marry) ______________ age in your country? 2. In (compare) ______________ with their American (part) ______________, young Asians are considered to be less (romance) ______________. 3. The spectators cheered in (astonish) ______________ when the goal was scored in the very first few minutes of the game. 4. The man got sacked right after the boss realized that he was (trust) ______________ 5. The scales in front of the court (symbol) ______________ justice. 6. The Chinese (wide) ______________ their eyes to express (angry) ______________whereas the (Europe) ______________ regard this expression a sign of (respect) ______________ 7. This zone was completely (secure) ______________ during the war. Few people lived here. 8. The hostess showed little (approve) ______________ of her guests' behavior. 9. Tina is a (demand) ______________ teacher who encourages (perfect) ______________ in most of her students. 10. If eye contact is prolonged may be considered (respect) ______________. Find 4^3(5^2). Express using exponents. Find the missing side lengths A thermally-driven circulation develops because: Group of answer choices in cold, dense air, isobars bunch closer together, while in adjacent warm, less dense air, they spread farther apart. aloft, high pressure develops in cold air regions while low pressure develops in warm air regions. at the surface, high pressure develops in warm air regions while low pressure develops in cold air regions. cold air rises and warm air sinks. If two lines represent the same line, then what is the nature of its solution? Details from the novel of how ponyboy and sodapop are differentplease give three examples!!! burning sugar is a chemical change give reason?