Classify the following triangle. Check all that apply.

Classify The Following Triangle. Check All That Apply.

Answers

Answer 1

Answer:

obtuse, isosceles

Step-by-step explanation:

We have two angles that have the same measure  - that means two sides are equal length.  That means the triangle is isosceles

We have one angle that is greater than 90 degrees  - that tells us the triangle is obtuse


Related Questions

All of the following are equivalent except___. 7x^3,4x+3x,(4+3)x,7x

Answers

Answer:

The one that is not equivalent is 7x^3

Step-by-step explanation:

7x^3= 7 * x*x*x

4x+3x = 7x = 7*x

(4+3)x = (7)x = 7*x

7x= 7*x

Answer:

7x^3

Step-by-step explanation:

All of the following are equivalent except 7x^3.

7x^3 = 7x^3

4x+3x = 7x

(4+3)x = 7x

7x = 7x

Which line contains the point (2,1)

4x-y=7
2x+5y=4
7x-y=15
X+5y=21

Answers

Answer:

4x - y = 7.

Step-by-step explanation:

We substitute for x and y and see if they fit.

4x - y = 7

4(2) - 1 = 7

So it is the first line.

Answer: First option.

Step-by-step explanation:

To find which line contains the point (2,1), we can substitute the coordinates into each equation of the line provided in the options:

First option:

[tex]4x-y=7\\4(2)-1=7\\7=7[/tex]

It contains the point (2,1)

Second option:

[tex]2x+5y=4\\2(2)+5(1)=4\\9\neq 4[/tex]

It does not contain the point (2,1)

Third option:

[tex]7x-y=15\\7(2)-1=15\\13\neq15[/tex]

It does not contain the point (2,1)

Fourth option:

[tex]x+5y=21\\2+5(1)=21\\7\neq 21[/tex]

 It does not contain the point (2,1)

1,547.489 which digit is in the ten place​

Answers

1,547.489

4 - Bold and underline one above is in the ten place.

Answer:

1,547.489

Step-by-step explanation:

Note that there is a decimal point in between 7 & 4, and the numbers to the left are whole numbers, while the numbers to the right is part of the decimal.

From the decimal point, count to the left two place value (to find the tens place):

1,547

1,547

4 is your digit in the ten's place, & is your answer.

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an app on your phone can estimate your time of arrival when given distance covered. You have travelled 4 1 2 kilometres. The app only accepts improper fractions.

Answers

Answer:

?

Step-by-step explanation:

wait is the kilometers number 412 or 41.2?

Final answer:

The mixed fraction 4 1/2 can be converted to the improper fraction 9/2 by multiplying the whole number by the denominator and then adding the numerator.

Explanation:

The question is asking you to convert a mixed fraction (4 1/2) into an improper fraction. In your case of 4 1/2, an improper fraction is a fraction where the numerator (the top number) is greater than the denominator (the bottom number). To convert a mixed number into an improper fraction, you multiply the whole number (4) by the denominator of the fractional part (2) and add the numerator of the fractional part (1). This gives you the numerator of the improper fraction.

Here's how you do it: 4*2 = 8, then add 1, which gives you 9. Your improper fraction is thus 9/2.

Learn more about Improper Fraction

https://brainly.com/question/19318336

#SPJ12

Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces.
O

Answers

Answer:

1. The base is a triangle.

Step-by-step explanation: This one seems like it's the only corret one, You might have to wait and see the other answers roll in.

Answer:

2,3&5

Step-by-step explanation:

got it right on edg 2020

solutions to equation x^2 + x - 30 = 12 using zero product property

Answers

Answer:

Our solutions are x= -7 , x=6

Step-by-step explanation:

x²+x-30=12

First we calculate the constants:

x²+x-30-12=0

x²+x-42=0

Now split the middle term:

x²+7x-6x-42=0

x(x+7)-6(x+7)=0

(x+7)(x-6)=0

As we know that:

a.b=0

⇒either a=0 or b=0

(x+7)=0 , (x-6)=0

x=0-7 , x=0+6

x= -7 , x=6

So our solutions are x= -7 , x=6....

From the equation, find the axis of symmetry of the parabola. y=-3x^2+3x-13 a. x=1/2 b. x=3 c. x=-1/2 d. x=1

Answers

The answer is a
The work and answer is shown in pic

The axis of symmetry of the parabola [tex]y = -3x^2 + 3x - 13[/tex] is x = 1/2.

The axis of symmetry of a parabola in the form [tex]y = ax^2 + bx + c[/tex] is given by the formula x = -b/2a.

In the given equation [tex]y = -3x^2 + 3x - 13[/tex],

we can identify a = -3, b = 3, and c = -13.

The axis of symmetry is then calculated as x = -b/2a:

x = -3/(2*-3) = -3/-6 = 1/2

So, the correct answer is a. x = 1/2.

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)

Answers

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

[tex]\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}[/tex]

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

[tex]\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill[/tex]

find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23

Answers

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

AB= 6x, BC= x-5, AC= 23

Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

x=4

x2 + 2x2 + 3x + 6
Factor

Answers

Answer:

See Below.

Step-by-step explanation:

I'm going to take the equation to be

y = x3 + 2x2 + 3x + 6

That is, the first term is a typo

make 2 groups. Put brackets around both groups.

group 1: x^3 + 2x^2   Take out the common factor of x^2

group 1: x^2(x + 2)

group 2: 3x + 6       Take out the common factor of x^2

group 2: 3(x + 2)

Now put the two groups together

Cubic = group 1 + group 2

Cubic = x^2 (x + 2) + 3(x + 2)

Now take out the common factor of x + 2

Cubic = (x + 2) (x^2 + 3)

What are the solutions to x2 + 8x + 7 = 0?
A.x= -8 and x = -7
B.x=-7 and x = -1
C.x= 1 and x = 7
D.x= 7 and x = 8

Answers

Answer:

B

Step-by-step explanation:

x² + 8x + 7 = 0

x²+x+7x+7=0

x(x+1)+7(x+1)=0

(x+1)(x+7)=0

Either x=-1or x=-7.

If f(x)=-2x-3 find f(4)

Answers

Answer:

f(4) = -11

Step-by-step explanation:

Plug in 4 for x: Note that x = 4.

f(x) = -2x - 3

f(4) = -2(4) - 3

Remember to follow PEMDAS. First, solve the multiplication, then subtract:

f(4) = (-2 * 4) - 3

f(4) = (-8) - 3

f(4) = -11

f(4) = -11 is your answer.

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Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself? A. any of the perpendicular bisectors of the sides of the hexagon B. either diagonal of the square C. any of the perpendicular bisectors of the sides of the square D. there are no lines across which this figure can reflect onto itself

Answers

Answer:

(C) Any of the perpendicular bisectors of the sides of the square

Step-by-step explanation:

In Regular Hexagon FGHIJK, we have 6 line of reflection across which the hexagon reflects onto itself. Those lines are:

3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH

3 lines passing through vertices i.e. HK, IF and GJ.

While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:

2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD

2 digonals of square i.e. AC and BD

Also from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.

So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.

Answer:

Answer C

Step-by-step explanation:

Edmentum

Hook me up with a 5 star and a Thanks

If you are given the graph of h(x)=log(6)x, how could you graph m(x)=log(6)(x+3)? Translate each point of the graph of h(x) 3 units up. Translate each point of the graph of h(x) 3 units down. Translate each point of the graph of h(x) 3 units right. Translate each point of the graph of h(x) 3 units left.

Answers

Answer:

Last option: Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

There are some transformations for a function f(x). The following is one of these transformations:

If [tex]f(x+k)[/tex], then the function is shifted "k" units to the left.

Given the function  [tex]h(x)=log_6(x)[/tex] and the function  [tex]m(x)=log_6(x+3)[/tex], you can notice that the function m(x) is the function h(x) but shifted left 3 units.

Therefore, you could graph the function m(x) by translating each point of the graph of the function h(x) 3 units left.

This matches with the last option.

Answer:

Last option (D) Translate each point of the graph of h(x) 3 units left.

3 sin^{2} x +cos 2x= (5/4)
answer in radians

Answers

Answer:

I believe it's 0.540717

Step-by-step explanation:

3(sin(2))x+(cos(2))(x)=5/4

Simplify: 2.311745x=5/4

Divide: 2.311745x/2.311735=5/4/2.311745

x=0.540717

How to solve 3,4 and 6

Answers

Answer:

[tex]\large\boxed{3.\ V\approx130.88\ m^3}\\\boxed{4.\ V\approx35.21}\\\boxed{6.\ V\approx1.06\ in^3}[/tex]

Step-by-step explanation:

3.

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have R = 3.15 m. Substitute:

[tex]V=\dfrac{4}{3}\pi(3.15)^3\approx\dfrac{4}{3}\pi(31.26)\approx\dfrac{4}{3}(3.14)(31.26)\approx130.88\ m^3[/tex]

4.

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have 2r = 11.6 → r = 5.8 and H = x. Substitute:

[tex]V=\dfrac{1}{3}\pi(5.8)^2(x)=\dfrac{1}{3}\pi(33.64)x\approx\dfrac{1}{3}(3.14)(33.64)x\approx35.21[/tex]

6.

The formula of a volume of a cube:

[tex]V=s^3[/tex]

s - edge

We have s = 1.02 in. Substitute:

[tex]V=(1.02)^3\approx1.06\ in^3[/tex]

Simplify (Y^2+7y+6)/(6y^2-6)

Answers

Answer:

[tex]\frac{y + 6}{6(y - 1)} [/tex]

Step-by-step explanation:

The given expression is

[tex] \frac{ {y}^{2} + 7y + 6}{6 {y}^{2} - 6} [/tex]

The numerator is a quadratic trinomial and the denominator is different of two squares when 6 is factored.

We factor both the numerator and the denominator to obtain;

[tex] \frac{ (y + 6)(y + 1) }{6(y - 1)(y + 1)} [/tex]

Cancel out the common factors to get:

[tex] \frac{y + 6}{6(y - 1)} [/tex]

This is the simplest form since, we cannot simplify this further.

For this case we must simplify the following expression:

[tex]\frac {y ^ 2 + 7y + 6} {6y ^ 2-6}[/tex]

We factor the numerator, looking for two numbers that when multiplied by 6 and when added together give 7. These numbers are +6 and +1.

Then, rewriting the expression:

[tex]\frac {(y + 6) (y + 1)} {6 (y ^ 2-1)} =[/tex]

We rewrite the denominator:

[tex]\frac {(y + 6) (y + 1)} {6 (y + 1) (y-1)} =[/tex]

We simplify similar terms:

[tex]\frac {(y + 6)} {6 (y-1)}[/tex]

Answer:

[tex]\frac {(y + 6)} {6 (y-1)}[/tex]

The height of the parallelogram, h, can be found by dividing the area by the length of the base. If the area of the parallelogram is represented by 4x2 – 2x + 5 and the base is 2x – 6, which represents the height? 2x + 5 + 2x – 7 – 2x – 7 + 2x + 5 –

Answers

Answer:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Step-by-step explanation:

We know that the height of a parallelogram can be found by divind the area by the lenght of the base.

The area is 4x2 – 2x + 5 and the base is 2x – 6. To find the height, we need to divide both polynomials:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Answer:

[tex]2x+5+\frac{35}{2x-6}[/tex]

Step-by-step explanation:

Given,

The area of the parallelogram, A = [tex]4x^2-2x+5[/tex]

The length of its base, b = [tex]2x-6[/tex]

∵ The height of the parallelogram.

[tex]h=\frac{A}{b}[/tex]

[tex]\implies h=\frac{4x^2-2x+5}{2x-6}[/tex]

[tex]=2x+5+\frac{35}{2x-6}[/tex]   ( by long division shown below )

Hence, the height of the given parallelogram is,

[tex]2x+5+\frac{35}{2x-6}[/tex]

Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)

Answers

Answer:

[tex] 2 ^ { \frac { 5 } { 2 } [/tex]

Step-by-step explanation:

We are given the following expression which we are to find its simplest form:

[tex] \frac { 4 ^ { \frac { 5 } { 4 } } \times 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }[/tex]

Cancelling the like terms to get:

[tex] 4 ^ { \frac { 5 } { 4 } } [/tex]

[tex] 2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } } [/tex]

[tex] 2 ^ { \frac { 5 } { 2 } [/tex]

Answer:

B

Step-by-step explanation:

what’s the value of y ?

Answers

hey! the value of y is 57

Answer:
66

Explanation:
Because 114+66=180

A wall is 15 ft. high and 10 ft. from a house.
Find the length of the shortest ladder which
will just touch the top of the wall and reach a
window 20.35 ft. above the ground.

Answers

Answer:

=11.35 ft.

Step-by-step explanation:

The ladder, the flat surface the wall and the height up to the window form a trapezium.

The triangle that constitutes of the trapezium has the ladder as the hypotenuse, the distance between the two walls as base and the perpendicular distance from the base of the ladder to the window as height.

The height=20.35 ft-15 ft= 5.35 ft

Distance between the walls=10 ft

Hypotenuse²= base²+height²

H²=b²+h²

=10²+5.35²

=128.6225

H=√128.6225

=11.35 ft.

Answer:

11.41 ft

Step-by-step explanation:

Same steps as the other guy but, I have the correct answer(especially for Acellus)

8 lbs of cashew nuts cost $32. What is the cost of one pound?

Answers

Answer:

$4 per pound

Step-by-step explanation:

To find how much one pound of cashew nuts cost you have to use money over unit.

So money/unit, in this problem the money is 32 and the unit is 8.

So 32/8, now you divide 32 by 8 to get the price for one pound.

32 divided by 8 is 4

So $4 per pound

Answer:

The total cost of one pound is $4.

Step-by-step explanation:

[tex]\Large\textnormal{First, you divide the numbers from left to right to find the answer.}[/tex]

[tex]\displaystyle 32\div8=4[/tex]

[tex]\displaystyle \frac{8}{8}=1[/tex]

[tex]32\div4=8[/tex]

[tex]\displaystyle \frac{32}{8}=4\times1=4[/tex]

[tex]\Large \boxed{4}[/tex], is the correct answer.

I hope this helps you and have a wonderful day!

A teacher needs to choose seven students to hand out papers. The total number of ways he may choose the students can be found using a combination

Answers

It may be 2 students

Answer:

True

Step-by-step explanation:

Apex

A small bat weighs about 2/5 of an ounce. A small hummingbird weighs about 14/25 of an ounce. Explain how to find the difference in the weights of these animals

Answers

Answer:

The difference is about [tex]\frac{4}{25}[/tex] of an ounce

Step-by-step explanation:

we know that

A small bat weighs about 2/5 of an ounce

A small hummingbird weighs about 14/25 of an ounce

step 1

Multiply 2/5 by 5/5

Remember that

5/5 is 1

so

[tex](\frac{2}{5})(\frac{5}{5})=\frac{10}{25}[/tex]

step 2

To find the difference in the weights of these animals, subtract the weight of the small bat from the weight of the small hummingbird

[tex](\frac{14}{25})-(\frac{10}{25})[/tex]

Remember that

When subtract fractions with the same denominators, subtract the top numbers and put the answer over the same denominator

so

[tex](\frac{14}{25})-(\frac{10}{25})=\frac{4}{25}[/tex]

therefore

The difference is about [tex]\frac{4}{25}[/tex] of an ounce

You put $280 in a one-year CD that will earn 4.5% a year, calculated semiannually. How much simple interest will you earn?

Answers

Answer:

25.77 dollars

Step-by-step explanation:

280 × .045 = y

y + 280 = z

z × .045 = c

z + c = d

d - c = the answer. $25.77

the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4. Which represents the solution(s) of this system of equations?

Answers

For this case we have the following system of equations:

[tex]y = x ^ 2-6x + 12\\y = 2x-4[/tex]

Equating the equations:

[tex]x ^ 2-6x + 12 = 2x-4\\x ^ 2-6x-2x + 12 + 4 = 0\\x ^ 2-8x + 16 = 0[/tex]

We look for two numbers that when multiplied, get 16, and when added together, get -8.

These numbers are -4 and -4.

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

So, the solution is[tex]x = 4[/tex]

We look for the value of y:

[tex]y = 2x-4\\y = 2 (4) -4\\y = 8-4\\y = 4[/tex]

Finally, the solution is:[tex](4,4)[/tex]

ANswer:

[tex](4,4)[/tex]

Suppose line n has a slope of 5/7 and passes through (4,8). what is the equation for n in point-slope form?

Answers

Answer:

[tex]\large\boxed{y-8=\dfrac{5}{7}(x-4)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope [tex]m=\dfrac{5}{7}[/tex] and the point [tex](4,\ 8)[/tex].

Substitute:

[tex]y-8=\dfrac{5}{7}(x-4)[/tex]

An object is launched from a platform.
Its height (in meters), x seconds after the launch, is modeled by

h(x)=-5(x+1)(x-9)

What is the height of the object at the time of launch?

_________ meters

Please answer as soon as possible please!

Answers

Answer:

45 meters

Step-by-step explanation:

If x represents the seconds after the launch, then the time of launch is when x=0 so you just need to solve for h(0)

h(0) = -5(1)(-9)

h(0) = 45

Answer:

45 m

Step-by-step explanation:

At the time of launch, the time x = 0

Substitute x = 0 into h(x)

h(0) = - 5 (0 + 1)(0 - 9) = - 5(1)(- 9) = - 5 × - 9 = 45

h(x) = 3x - 4
What is h(6)?
ETĀ. 14
e c. 22
SUBMIT

Answers

[tex]h(6)=3\cdot6-4=14[/tex]

Answer:

a. 14 is your answer.

Step-by-step explanation:

h(x) = 3x - 4

h(6) = ?

Plug in 6 for x: x = 6

h(6) = 3(6) - 4

Remember to follow PEMDAS. First, multiply, then subtract:

h(6) = (3 * 6) - 4

h(6) = (18) - 4

Simplify:

h(6) = 18 - 4

h(6) = 14

a. 14 is your answer.

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how do you calculate the median and mean of X based on the table?​

Answers

Answer:

The mean is all the #s added up and divided by 5, and median is the number in the middle which is 0.18

Step-by-step explanation:

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A condensed income statement by product line for British Beverage Inc. indicated the following for King Cola for the past year: Sales $235,100 Cost of goods sold (110,000) Gross profit $125,100 Operating expenses (142,000) Operating loss $(16,900) It is estimated that 12% of the cost of goods sold represents fixed factory overhead costs and that 21% of the operating expenses are fixed. Since King Cola is only one of many products, the fixed costs will not be significantly affected if the product is discontinued. Prepare a differential analysis report for the proposed discontinuance of King Cola. Use the Divergence Theorem to evaluate S F dS, where F(x, y, z) = z2xi + y3 3 + sin z j + (x2z + y2)k and S is the top half of the sphere x2 + y2 + z2 = 1. (Hint: Note that S is not a closed surface. First compute integrals over S1 and S2, where S1 is the disk x2 + y2 1, oriented downward, and S2 = S1 S.) The work done by an engine equals one-fourth the energy it absorbs from a reservoir. True or False Factor the polynomial completely.Find a GCF: 2x2 + 2 + 5x3 5x GCF = 2 GCF = 5xFactor out the GCF: 2(x2 1) + 5x(x2 1)Which product of prime polynomials is equivalent to the original polynomial? (2 5x)(x2 1) (2 + 5x)(x2 1) (2 5x)(x 1)(x + 1) (2 + 5x)(x 1)(x + 1) The system of equations 3x 6y = 20 and 2x 4y = 3 is A. consistent. B. inconsistent. C. independent. D. dependent. A/An _______ forms around a well when the water table begins to slope toward the well. Can someone please help me?!!!! What is cos -1 ( -1/2) in quadrant 1 ? Janette goes into an electronics superstore to buy a new computer. The salesperson works with her to find the right model, and she agrees to buy a new computer for $500 and a floor-model 18-inch monitor for $100. Just when she is ready to pay, the salesperson walks away for a minute and then comes back to inform her that the monitor she was ready to purchase cant be sold for less than $125. She agrees to the extra $25 even though they had initially agreed on the $100 selling price. Janette has fallen for the ________ technique of gaining compliance. a. low-balling b. door-in-the-face c. bait-and-switch d. foot-in-the-door Which classification best suits the pancreas?a) Exocrineb) Endocrinec) Exocrine and endocrined) Holocrine The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct? A)Both the domain and range of the transformed function are the same as those of the parent function. B(Neither the domain nor the range of the transformed function are the same as those of the parent function. C)The range but not the domain of the transformed function is the same as that of the parent function. D)The domain but not the range of the transformed function is the same as that of the parent function. How many subsets does the set A have? A={-3,-2,-1,0,1,2,3} Compare the following sentences:1) You received a raise and your income increased to 135% of its previous amount.2) You received a raise and your income increased by 135% If you want a user to enter exactly 20 values, which loop would be the best to use?1. do-while2. while3. for4. infinite5. None of these Comprehension - Finish the ParagraphUse the words in the box to finish the paragraph. Write the words youchoose on the correct blanks.royalrevolutionpersonalsocialistparliamentaryspeechcommunistgovernmentwelfareCommunist PartySweden is a _____democracy with a_____economy. The government provides_______programs to help people.China became a______nation after a_______in 1949. After that, all farms and factories were owned by the______China is ruled by the________The government allows little______freedom. Saudi Arabia, like China, does not allow freedom of______religion, of the press, or ofThe king has full power to rulewith his_____family. the encomienda system in colonial latin america led to the Hannah is an HR specialist at an investment firm, and she is responsible for conflict management. She believes that conflicts should be resolved in a way that is beneficial to all involved. Therefore, when a conflict arose between the heads of the finance department and the legal department over the shared use of an employee, she came up with a schedule that allowed both the departments to use the expertise of the employee without hindering each other's schedules. In the context of the various ethical decision-making approaches, Hannah's beliefs and actions are consistent with those asserted by the ___. In the right triangle ABC shown to the right, what is the length ofAC?A) 10B) 14C) 13D) 169E) NOTA An introductory section that sets up a lengthy text is a Prove the 'rule of 9': an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.