Which expression represents the measure of segment RS? A.7x – 3 B.7x + 5 C.x + 5 D.x – 3

Answer:

One segment is 8.89 long and the other one is: 11.11 long

Step-by-step explanation:

Recall that the bisector of a triangle divides the opposite side it intersects into two segments that are proportional to the other two sides of the triangle.

In our case the bisector is generated on the angle opposite to the size 20 side (it is the smallest angle in the triangle since it is opposite to the smallest side). This bisector divides the side of length 20 into a segment of length x and a segment of length 20-x.

The proportionality indicated by the bisector theorem gives;

[tex]\frac{20-x}{x} =\frac{30}{24}[/tex]

and we can solve for "x":

[tex]\frac{20-x}{x} =\frac{30}{24}\\24\,(20-x)=30\,x\\480-24\,x=30\,x\\480=54\,x\\x=480/54\\x\approx8.89[/tex]

Then the other segment is:  20 - 8.89 = 11.11

Answer:

[tex]\frac{1}{221}[/tex]

Step-by-step explanation:

We have to note that there are 4 kings in a deck of 52 cards.

This makes the probability of choosing a king the first time [tex]\frac{4}{52} = \frac{1}{13}[/tex].

We now know that we can choose another king from the deck, but it's important to note that it's not a [tex]\frac{1}{13}[/tex] chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is [tex]\frac{3}{51} = \frac{1}{17}[/tex].

To find the probability of doing both these, we need to multiply the fractions.

[tex]\frac{1}{13}\cdot\frac{1}{17}=\frac{1}{221}[/tex]

Hope this helped!

Answer:

C. 47 less than 28

Step-by-step explanation:

A. 47 take away 28

Equivalent to counting 47 and taking away 28

= 47 - 28

= 19

B. 47 minus 28

Simply

47 - 28

= 19

C. 47 less than 28

47 < 28

The less than sign is <

D. 47 subtract 28

= 47 - 28

= 19

Answer:47 less than 28

Step-by-step explanation:the rest are subtracting 28 from 47 , 47 less than 28 is subtracting 47 from 28.

Answer:

Yes, I think so!

Step-by-step explanation:

3*3=9

4*2=8

So i will be 9/8

Hope this helps!

(pls mark brainiest!)

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

First, put the equation into slope intercept form.

Slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 6x from both sides:

3y + 6x (-6x) = 18 (-6x)

3y = -6x + 18

Next, divide 3 from both sides. Remember to divide from all terms:

(3y)/3 =  (-6x + 18)/3

y = (-6x)/3 + (18)/3

y = -2x + 6

Slope-intercept form: y = -2x + 6

Again, note the slope-intercept form.

> Slope-intercept form: y = mx + b

The variables:

y = (x ,y)

m = slope

x = (x , y)

b = y-intercept

Your answers:

slope: -2

y-intercept: 6

Answer:

C with points A and B on the line

The diagram that supports the postulate is line option (c).

Lines and points are both undefined terms in geometry.

The given postulate states that;

Exactly one line exists between any two points.

This means that the line must pass through the two points.

From the given options, Only option (c) is true because the line passes through points A and B.

Hence, the diagram that supports the postulate is line option (c).

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Answer: C

Step-by-step explanation: Absolute value means all the values in the | | are positive so make them positive and you will see it’s 3.5, 4.2, and 9 in order from least to greatest.

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The computation of the fraction of her overall lawn remaining unmowed is shown below:

Let us assume that the back lawn be x

So the front lawn would be

[tex]= \frac{1}{3}\times x\\\\ = \frac{x}{3}[/tex]

So, the total lawn is  ................... (i)

[tex]= x + \frac{x}{3}\\\\ = \frac{4x}{3}[/tex]

The back lawn mowed is [tex]\frac{2x}{3}[/tex]

Front lawn moved is [tex]\frac{x}{6}[/tex]

So, the total mowed is ....................(ii)

[tex]= \frac{2x}{3} + \frac{x}{6}\\\\ = \frac{5x}{6}[/tex]

So, the total unmowed is

[tex]= \frac{4x}{3} - \frac{5x}{6} \\\\= \frac{x}{2}[/tex]

Now the fraction is

[tex]= \frac{x}{2} \times \frac{3}{4x} \\\\ = \frac{3}{8}[/tex]

The fraction of the entire lawn unmoved is 3 / 8

The fraction is defined as the division of the whole part into an equal number of parts. The computation of the fraction of her overall lawn remaining unmowed is shown below:

Let us assume that the back lawn is x

So the front lawn would be

[tex]=\dfrac{1}{3}\times x[/tex]

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

So, the total lawn is  ................... (i)

[tex]=x+\dfrac{x}{3}[/tex]

The back lawn mowed is

The front lawn moved is

So, the total mowed is ....................(ii)

[tex]=\dfrac{2x}{3}+\dfrac{x}{6}[/tex]

[tex]=\dfrac{5x}{6}[/tex]

So, the total unmowed is

[tex]=\dfrac{4x}{3}-\dfrac{5x}{6}[/tex]

[tex]=\dfrac{x}{2}[/tex]

Now the fraction is

[tex]=\dfrac{x}{2}\times \dfrac{3}{4x}[/tex]

[tex]=\dfrac{3}{8}[/tex]

Therefore the fraction of the entire lawn unmoved is 3 / 8

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===========================================

Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

---------

You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

Answer:

[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]

Step-by-step explanation:

The base of the right triangle created is 100 meters.

The angle between the base and the hypotenuse of the right triangle is 45 degrees.

We can use trigonometric functions to solve for the height of the tower.

[tex]\displaystyle \mathrm{tan(\theta) = \frac{opposite }{adjacent} }[/tex]

[tex]\displaystyle \mathrm{tan(45) }= \frac{x }{100}[/tex]

Multiplying both sides by 100.

[tex]\displaystyle \mathrm{100 \cdot tan(45) }= x[/tex]

[tex]\displaystyle \mathrm{100 }= x[/tex]

The height of the tower is 100 meters.

Answer:

True.

Step-by-step explanation:

The sum of two rational numbers is rational.

By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rational numbers produces another rational number.

Answer:

3285

Step-by-step explanation:

5x3144=15720

3990

15720+3990=19710

19710/6=3285

Answer:

8 x2.20 = Answer

Step-by-step explanation:

Answer:

7d+6q=2.20

Step-by-step explanation:

=======================================

Explanation:

For now, assume the inequality is true

We can cross multiply to get

2/11 < 5/22

2*22 < 11*5

44 < 55

Since the last inequality is true (44 is smaller than 55), this means the first inequality is also true.

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

We could use a calculator to see that

2/11 = 0.1818 approximately

5/22 = 0.2273 approximately

Since 0.1818 is smaller than 0.2273, this means 2/11 is smaller than 5/22.

In other words, 0.1818 < 0.2273 leads to 2/11 < 5/22

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

An alternative is to multiply 2/11 by 2/2 to get 4/22

So 2/11 < 5/22 would update to 4/22 < 5/22. Both have the same denominator so we just compare the numerators. Because 4 < 5 is true, this makes 4/22 < 5/22 true, and consequently 2/11 < 5/22 true as well.

Answer:

3.33

Step-by-step explanation:

3.45

- 0.12

______

3.33

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

decimal repeats without a pattern

Answer:

I think the answer is 59

Step-by-step explanation:

6p+5

6(9)+5

54+5=59

Answer:

270°

Step-by-step explanation:

For example,

(x, y) is in 1st quadrant (x- coordinate is positive, y - coordinate is positive) , then

(y, - x) is in 4th (x- coordinate is positive, y - coordinate is negative).

x and y changed places, so clockwise is 90°,

and counter-clockwise 360-90= 270°.

Answer:

360

Step-by-step explanation:

Given that Amir wants to create a 4-digit password for his phone.

He wants to choose 4 different numbers between 1 and 5 inclusive.

The total number of 4-digit passwords that Amir can create will be achieved by using permutation

6P4 = 6!/ ( 6 - 4)!

6P4 = (6 × 5 × 4 × 3 × 2!)/2!

6P4 = 6×5×4×3 = 360

Therefore, the total number of 4-digit passwords that Amir can create is 360 different passwords.

Answer:

A length of 5 and a perimeter of 20

Step-by-step explanation:

Personally, I'm lactose intolerant so I wouldn't take any Cheez-Its, but oh well.

Everyone wants the most Cheez-its, right? So we need to find the rectangle with the greatest area.

Let's look at the first one, a rectangle with a length of 9 and a perimeter of 22.

The perimeter of a rectangle can be expressed as [tex]2l+2w[/tex], where l is the length and w is the width.

We know the length and area, so let's solve for w (the width).

[tex]2\cdot9+2w=22\\\\18+2w=22\\\\2w=4\\\\w=2[/tex]

So the width is 2. The area of a rectangle is the length times the width.

[tex]9\cdot2=18[/tex]

So the first rectangle has an area of 18.

Using the same concept for the second statement, a length of 5 and a perimeter of 20, we can find the area.

[tex]2l+2w=20\\\\2\cdot5+2w=20\\\\10+2w=20\\\\2w=10\\\\w=5\\\\5\cdot5=25[/tex]

So the area of the second one is 25.

The greatest area is 25, so you'd want this one.

Hope this helped!

Answer:

The second one

Step-by-step explanation:

yaaaaaaaa

Answer:

The percentage increase of the production expectation to 1 decimal place is 178.6%

Step-by-step explanation:

Here in this question, we are interested in finding the percentage increase in the production capacity of the hypothetical company;

We can make or have a formula for this to make our workings easier;

% increase = (new value - old value)/old value * 100%

From the question;

The old value is the former productive capacity which is 1.4 million

The new productive capacity is 3.9 million

Thus;

The percentage increase in the production capacity would be;

(3.9 million - 1.4 million)/1.4 million * 100%

= 2.5 million/1.4 million * 100% = 178.57%

But the question asks we should have our answer in one decimal place;

Thus; 178.57% becomes 178.6%

Answer:

Angle EFG = 104 degrees

Angle GFH = 76 degrees

Step-by-step explanation:

Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.

Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.

We can then combine like terms, getting 6n + 54 = 180.

Then, we can subtract both sides by 54, getting 6n = 126.

Lastly, we can divide both sides by 6, getting n = 21.

EDIT - solve for EFG and GFH:

Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees

Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees

Answer:

∠EFG = 104°

∠GFH = 76°

Step-by-step explanation:

∠EFG + ∠GFH = 180

(4n + 20) + (2n + 34) = 180

6n + 54 = 180

6n = 180 -54

n = 126 / 6

n = 21

plug in values to ∠EFG

∠EFG = 4(21) + 20

∠EFG = 104°

plug in values to ∠GFH

∠GFH = 2(21) + 34

∠GFH = 76°

Answer

So changing 1/4 by multiplying top and bottom by 9 gives 9/36 and changing 2/9 by multiplying top and bottom by 4/4 gives 8/36 and adding 9/36 to 8/36 gives 17/36 - a rational number.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

(-1) ^3

This is (-1) multiplied together 3 times

(-1) * (-1) * (-1)

-1

Answer:

Step-by-step explanation: all yu need to do is plug in each number option you have to replace in for until you get what it equals aka 4

for ex.

18/3-2=4 so that means 18 is your answer

Answer:

Step-by-step explanation:

In algebra, there is always an orderly progression of steps. Once we get an answer for the value of x, we must test it in the original question to make sure it is correct.

n/3 × 3 = 6 × 3

n = 18

18/3 - 2 = 4

6 - 2 = 4

4 = 4 ✓

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A square is a quadrilateral that has the same length on every side.

The area of the garden is 196 square feet. To find the area of a garden, you have to multiply the length times the width. Since you know that both widths are the same, you can simply just calculate the square root of 196. The square root of 196 is 14. So you know that one side is 14 feet in length.

Now you will need to find the perimeter. The perimeter of any polygon is the lengths of all sides added up. Since there are 4 sides on a square, and each side is the same length, you can just add 14, 4 times. 14+14+14+14 equals 56. So the perimeter of the garden is 56 feet.

Hannah will need 56 feet of fencing.

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she needs to put 56 feet of fencing materials around ground

A quadrilateral which has four equal sides and four equal angles is known as a square.

According to the question,

To find the fencing material means to calculate the length around the square garden, or the perimeter of the square shaped garden.

Area , A is given as 196  square feet.

Formula for Area of a square (A )= Side × side

196 = side × side

This can be written as  

Side × Side  = 196

 [tex]side^{2}[/tex] = 196

Take the square root of both sides,

[tex]\sqrt{side^{2} }[/tex]  = [tex]\sqrt{196}[/tex]

side = 14 feet

The perimeter of a square can be calculated, P = 4(s), because all the four

sides are equal

P = 4 × side

   = 4 × 14

   = 56 feet

Hence, she needs 56 feet of fencing materials.

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