11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4

Answer:

78°

Step-by-step explanation:

(I'm assuming that segment AB is a straight line {180 degrees})

1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.

2. if you solve that, you'll get x=25.

3. plug 25 (x) into 3x+3 -> 3(25)+3

4. 3(25)+3=78

5. answer: 78°

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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]

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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,

Tan(B) = AC / BC

Tan(B) = 8/15

Hence, the value of Tan(B) will be equal to 8/15.

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Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

Answer:

c. False, counterexample of 15

Step-by-step explanation:

This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3

Answer:

number of large year book sold = 380

number of small year book sold =520

Step-by-step explanation:

Let the no. of large year book pages be x

given that

cost of 1 large year book = $4

cost of x large year book = x*cost of 1 large year book = $4x

Let the no. of small year book pages be y

given that

cost of 1 small year book = $2.5

cost of y small year book = y*cost of 1 large year book = $2.5y

also,

total year books sold were 900

no. of small year book + no. of small year book = 900

x + y = 900

y = 900 - x  ------------------>1

also total money made by selling large and small year book = $2820

cost of x small year book + cost of x large year book = 2820

4x + 2.5y = 2820

using y = 900 - x in above equation

4x + 2.5(900-x) = 2820

4x + 2250 - 2.5x = 2820

1.5x = 2820-2250 = 570

x = 570/1.5 = 380

Thus,

number of large year book sold = 380

number of small year book sold = 900-380 = 520

Answer:

1. C. The managers used a cluster sample

2.  B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

Answer:

100 joules/ second

Step-by-step explanation:

5,000/50 seconds = 100 joules/ second

If a light bulb that consumed 5000 joules in 50 seconds, then the unit rate at which this light bulb used energy is, 100 joules/seconds or 100 watts.

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

Given that,

A light bulb that consumed 5000 joules in 50 seconds,

The unit rate at which this light bulb used energy = ?

To find the unit rate,

we can divide the energy consumed (in joules) by the time it took to consume that energy (in seconds):

Unit rate = 5000/50 joules/seconds

              = 100 Watts

Note: 1 Watt = 1 Joule/second,

so the unit rate can also be expressed as joules per second.

Hence, the unit rate at which the light bulb used energy is 100 Watts.

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Answer:

Spaces are as below:

Answer:

Scientific Notation is making a huge number smaller, using exponents. A number like 800000 can be shortened with Scientific Notation. Example:

8 × [tex]10^{5}[/tex]

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]

Step-by-step explanation:

Two points (1, -1) and (0, 6) are lying on the given line.

Rule to find the coordinates of a point by the rotation of 90° clockwise is,

(x, y) → (y, -x)

Therefore, image points of (1, -1) and (0, 6) will be,

(1, -1) → (-1, -1)

(0, 6) → (6, 0)

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,

m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]

Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]

y - y' = m(x - x')

y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]

[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]

Answer:

A

Step-by-step explanation:

im a 100% sure it is A

tttttttt

Answer:

yes it is a

Step-by-step explanation:

hahahah i dont know how to explain this i just guessed lol

Answer:

[tex]1\frac{7}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9

Hope that helps and have a great day!

Answer:

10 minutes

Step-by-step explanation:

okay if I'm doing this right then

-3 goes to 1

-2 goes to 0

1 goes to 2

3 goes to -4

-3 goes to 5

I think you put the x to the y ones

Answer:

Step-by-step explanation:

g(x)= x - 3

f(x - 3)= (x - 3)^2 - 2

           x^2 - 6x + 9 - 2 = x^2 - 6x + 7

b is the answer

Answer:

I believe its 8.18 hope I helped. =)

Answer:

8.1785 to the nearest hundredth is 8.18.

Step-by-step explanation:

1. I left 8. and change the .1785 because 17 is the hundredths place. Next I took the .1785 and rounded it to .18 because the 85 is above 50.

2. I put the two numbers together (8. & .18) and I got 8.18.

I hope this helps:)

Answer:

8/75

Step-by-step explanation:

Answer:She will need 12 and 1/2 cups of sugar

Step-by-step explanation:

Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2

Answer:

dez nuts ha gotem

Step-by-step explanation:

boi u thought

Answer:

Third choice. 9/14

Step-by-step explanation:

3/4 x 6/7 = 18/28 = 9/14

Answer:

5 5/6 miles

Step-by-step explanation:

There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is

5 5/6 miles.

Answer:

sum of the product 5+0.35=5.35

sum if product 0.75+8=8.75

Answer:

Step-by-step explanation:

product of 5 and 0.35 = 1.75

product of 0.75 and 8 = 6

their sum = 1.75 + 6 = 7.75

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

93.33

Step-by-step explanation:

You just multiply the $100 by the change rate to get the new currency

Answer:

107.15 :)

Step-by-step explanation:

You are traveling to Japan and need Japanese Yen (JPY)

We need to convert $100 USD to JPY

If conversion rate is $1USD = 0.9333JPY

The value of $1 USD is 0.9333 JPY

Let in $100 USD get x JPY

 100/.9333

=107.15

Answer:

I got you

Step-by-step explanation:

96 = 4(5)(4) + 2(4)H

96 = 80 + 8H

96 - 80 = 8H

16 = 8H

16/8 = H

2 = H

Answer:

8 and 7, I think...

Step-by-step explanation:

keep it up

Supplementary means that the 2 angles add up to 180 degrees. This means that angles 7 + 8 are supplementary

Answer:

∆FSH ≅ △_____

By rule Cannot Be Determined

Step-by-step explanation:

Both do not have an answer.