Damien is constructing a segment that is congruent to AB shown below. Which of the following is a step Damien will use in the process? Use a compass to draw an arc above point A . Use a compass to measure the length of segment AB . Use a compass to draw an arc between points A and B . Use a compass to draw an arc from any point between A and B on the segment to a place above the segment

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

Answer:

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Step-by-step explanation:

Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.

The amount of alcohol in 4 ounces solution is=   ounces

                                                             = 0.8 ounces

The amount of alcohol in x ounces  solution is=   ounces

                                                                             = 0.11 x ounces

Total amount of alcohol is = (4+x) ounces

According to the problem,

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Answer:

80 degrees

Step-by-step explanation:

they are adjacent angles -

115-35=80

GBE=80 degrees

The other person is correct. This is what the drawing looks like when we mark the angles given to us.

Answer:

[tex]irrational \: or \: rational \\ for \: exmple \sqrt{2} \times \sqrt{2} = 2 \\ thnk \: you[/tex]

Answer:

m = 4/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(24-12)/(6-(-3))

12/9 = 4/3

Answer: Slope = -3/4

Step-by-step explanation:

Background information

The given equation [y = -3/4x + 2] is in the form of slope-intercept form of linear equation.

The slope-intercept form of a linear equation is where one side contains just [y]. So, it will look like: y = mx + b where [m] is the slope and [b] is the y-intercept.

Match the given equation with the base form of the equation

y = (-3/4)x + 2

y = m x + b

Finalize the match result

m = -3/4

b = 2

Therefore, the slope of the equation [y = -3/4x + 2] is [tex]\boxed{-\frac{3}{4} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

just trying hope that helps

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{x}{2} =50\\\\x = 100[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Setting up an Equation...}}}\\\\\text{Half a number...}} \rightarrow\frac{x}{2} \\\\\text{...gives 50.} \rightarrow = 50\\\\\text{Half a number gives 50 should be: } \frac{x}{2} = 50[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{2} = 50\\-------------\\\\\rightarrow( \frac{x}{2})2=50*2\\\\\rightarrow \boxed{x = 100}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]take \: the \: number = x \\ then \: x \div 2 = 50 \\ x = 50 \times 2 = 100 \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

Length = 5 * 3 = 15 feet

Width = 3.5 * 3 = 10.5

Area: 15 * 10.5 = 157.5 square feet

Answer:

Step-by-step explanation:

2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)

1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4

The answer is going to look a little convoluted but it should be correct.

The answer so far is sqrt(3) /4

sin(60) = sqrt(3)/2    

of the 4, two is needed to get sqrt(3)/2

So far then we have sin(60)/2

If we multiply by 2 as in (sin(60)/2) we get just sin(60)

2* sqrt(3) /4 then  = 2 sin(60)

Step-by-step explanation:

it is easy and I think i explain it in better way.

Answer:

This is true.

Answer:

OK mate don't freak out its easy

First things first x and y are height and base and 10cm is hypotenuse.

40degree is the angle

Now.

The sin angle is an trigonometric angle which deals with height and hypotenuse.

It's formulae is...... Sin angle =height /hypotenuse

So sin 40 = x/10

X= 10 * sin 40

X= 10*0.64

Hence x=6.4 cm

Remainder sin 40 is 0.64

Again

The cos angle is an trigonometric angle which deals with base and hypotenuse

It's formulae is...... Cos angle =base /hypotenuse

So cos 40 = y/10

Y= cos 40 *10

Y= 0.76*10

Hence y = 7.6cm

Remainder cos 40 = 0.76.

Thank you

Answer:

do not worry it is 63,9 degrees

Answer:

i think she should draw 3

Answer:

-4.5. 2.75+(2)+(-5.25) = -4.5. hope this helps

Step-by-step explanation:

- Zombie

Answer:

You basically just square then square root it all for distance and whatever; herons formula, magnitude, whatever formulae

You should get:

6.3245 --> 6.33 -> 6.3

Answer:

no solution

Step-by-step explanation:

Given

- 9 - 8x = - 2(7 + 4x) ← distribute

- 9 - 8x = - 14 - 8x ( add 9 to both sides )

- 8x = - 5 - 8x ( add 8x to both sides )

0 = - 5 ← this is not possible

This indicates the equation has no solution

Answer:

see explanation

Step-by-step explanation:

Using the identities

1 - cos²x = sin²x

cotx = [tex]\frac{cosx}{sinx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{1}{1-cos\alpha }[/tex] - [tex]\frac{1}{1+cos\alpha }[/tex]

= [tex]\frac{1+cos\alpha - (1-cos\alpha )}{(1-cos\alpha )(1+cos\alpha )}[/tex]

= [tex]\frac{1+cos\alpha -1+cos\alpha }{1-cos^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin\alpha }[/tex] × [tex]\frac{1}{sin\alpha }[/tex]

= 2cotα . cosecα

= right side , thus verified

Answer:

$2624

Step-by-step explanation:

8x235=1880

2x372=744

1880+744=2624=$2624

Answer:

Step-by-step explanation:

As per graph, the function is increasing at all intervals.

Correct choice is C

Answer:

Increasing on all real numbers

Step-by-step explanation:

The line is a polynomial curve and it's increasing at all values

so option C is correct

Answer:

a=28, b=-15

Step-by-step explanation:

[tex]Method\ by\ linear\ combinaisons\\\left\{\begin{array}{ccc|c|c|}2a+5b&=&-19&-1&3\\3a+5b&=&9&1&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\5b&=&-75\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\b&=&-15\\\end{array}\right.\\[/tex]

If I'm understanding the question correctly, you're saying that X is a random variable following a normal distribution with mean 5 and standard deviation 4.2, and you want to find the proportion of the distribution that lies in the interval (-3, 8). In other words, the probability

P(-3 < X < 8)

Transform X to Z, which follows the standard normal distribution with mean 0 and standard deviation 1, using the rule

X = µ + σZ   ==>   Z = (X - µ)/σ

where µ and σ are the mean and standard devation of X, respectively.

We have

P(-3 < X < 8) = P((-3 - 5)/4.2 < (X - 5)/4.2 < (8 - 5)/4.2)

… ≈ P(-1.904 < Z < 0.714)

… ≈ P(Z < 0.714) - P(Z < -1.904)

… ≈ 0.762 - 0.028 ≈ 0.734

The proportion of values of X between - 3 and 5 is 0.734

The expression ∼(5,4.2) gives the mean and standard deviation of X

Mean, μ = 5

Mean, μ = 5Standard deviation, σ = 4.2

Using the normal distribution :

The proportion of values of X is given as :

z = (x - μ) / σ

P(Z < z) - P(Z < z)

P(Z < (x - μ) / σ) - P(Z < (x - μ) / σ)

For X = - 3 and x = 8

P(Z < (8 - 5) / 4.2) - P(Z < (-3 - 5) / 4.2)

P(Z < 0.7143) - P(Z < - 1.90476)

0.76248 - 0.0284 = 0.73408

Hence, the proportion of values of X between - 3 and 5 is 0.734

Learn more : https://brainly.com/question/17756962?referrer=searchResults

Answer:

The fourth answer option is correct

Step-by-step explanation:

x - 5y = 6......transpose -5y to the other side and change the negative sign to positive

x = 5y + 6

Answer:

X = -6 is the answer

points , pi represents point that you can earn .

Answer:

x=31

Step-by-step explanation:

When x=45    y=60

And when y=36

For that let's take the amount as Z(to find how much was decreased)

60-z=36

60   =36+z

60-36=z

      14=z

45-14

31

Therefore when y=36 x=31

Hope you got it

If you have any question just ask me

And if you think this is the best answer please mark me as brainliest

Answer:

Step-by-step explanation:

{X ∈ √144ƒ+25+5/12ƒ , √144ƒ+25+5/12ƒ }