Write a paragraph, flowchart, or 2-column proof for the following conjecture:
Given: angle 1 = angle 4
Prove: angle 3 = angle 2

Answer:

In the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Step-by-step explanation:

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Answer:

$3045

Step-by-step explanation:

You need to find 13% of 3500, and subtract it from 3500.

13% of 3500 = 455

3500 - 455 = 3045

Answer:

2

Step-by-step explanation:

Answer:

the green line is 3/4 and the blue line is-3/4

Answer:

I solved it and my answer is - 2

Step-by-step explanation:

5x+6=8x+12

5x-8x =12 - 6

-3x =6

Divide by - 3

X=-2

Answer:    the answer is $3,084

Step-by-step explanation:

The reason i got this answer is because i added $329 + $699 x 3 = $3,084

Answer:

Step-by-step explanation:

add the cost of ipad and iphone

Answer:

7/16

Step-by-step explanation:

Divide each side by 5

Answer:

What error did the salesman make?

The salesman made an error when convert 270 square feet to yards.

What should be the actual cost of the carpet?

The actual cost of the carpet is $360

Step-by-step explanation:

From the question, we are told that:Tisha orders a carpet for a room that measures 270 square feet.

This means the room needs 270 square feet of carpet

But from the question, we know that the carpet is sold in square yards

We convert square feet to square yards

For our conversion rates

3 ft = 1 yard

9 ft² = 1 square yards(yd²)

270 ft² = x

Cross Multiply

9 ft² × x = 270ft² × 1 yd²

x yd²= 270ft² × 1 yd²/9 ft²

x = 30 yd²

Hence, 270ft² = 30yd²

Cost of carpet =

1 yd² = $12.00

30 yd² =

Cross Multiply

= 30 × $12.00

= $360.00

The actual cost of the carpet is $360

What error did the salesman make?

The salesman made an error when convert 270 square feet to square yards.

He said 270 square feet = 90 square yards

But he was wrong.

270 square feet = 30 square yards.

What should be the actual cost of the carpet?

The actual cost of the carpet is $360

Answer:360 for the actual cost

Step-by-step explanation:

Answer:

Step-by-step explanation:

top right

a30/5=6x4= 24

b The whole number is itself/1 so 45 becomes 45/1. 45/1x2/9= 90/9 (10/1 or 10 simplified)

c The whole number is again simply itself over 1 when translated to a fraction so24 becomes 24/1. 24/1x1/6 = 24/6 (4/1 or 4 simplified)

Top left

a 8/24 simplifies to 1/3

b 16/24 simplifies to 2/3

bottom right

a 2/10 simplifies to 1/5

b 9/24simplifies to 3/8

bottom right

a 15/20 simplifies to 3/4

b 8/12 simplifies to 2/3

I hope this helps have a nice day:)

Answer:

x and y are Vertical angles

1.28571428571 this is the answer thank you please give me 5 stars.plis

Answer

120=7x+15

Step-by-step explanation:

Answer:

We are given table for the prices for two different catering companies.

Company Initial Payment           Rate Per Employee

________________________________________

$135                                         $12

       $0                                           $15

We know, slope-intercept form of a linear equation:

y= mx+ b.

Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).

Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.

y = 12x +135.

Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.

y = 15x + 0 or y = 15x.

Therefore, system of equations or Devoted Catering are

y = 12x +135.

y = 15x .

Step-by-step explanation:

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

Answer:

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph

Answer: x = 3

Step-by-step explanation:

Subtract 15 from both sides

2/3x = 2

Divide each side by 2/3

x = 3

Answer:

welp to bad its like -4 tho

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

mode: 22

mean: 21

Step-by-step explanation:

For mode, look for the number that occurs the most (22). I remember this because MODE kinda sounds like MOST. Remember that the mean is just another word for average. I remember this because I think its MEAN that they'd make another word for average, although the term average is way easier to remember. So, add all numbers (525) and divide them by 25.

525 divided by 25= 21

(it might be safe to double check my work)

The mean of the set showing number of hours of operating life 25 flashlight batteries is, 21.8

The mode of the set showing number of hours of operating life 25 flashlight batteries is, 22

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The set showing number of hours of operating life 25 flashlight batteries is,

⇒ 20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.

Now, We can arrange the numbers in ascending order as;

⇒ 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26

Thus, The mean of the set is,

⇒ Mean = 18 + 19 + 19 + 20 + 20 + 20 + 21 + 21 + 21 + 21 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 23 + 23 + 23 + 23 + 24 + 24 + 25 + 26 / 25

⇒ Mean = 545 / 25

⇒ Mean = 21.8

And, The mode of the data set is the most often number in data set.

Hence, The mode of the set = 22

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Answer: After 5 bags of mulch, the cost for both companies will be the same.

Step-by-step explanation:

The cost for Company can be represented by the equation: y= 10m+100

The cost for Company B can be represented by the equation: y= 30m

To find the amount of mulch, their cost needs to be the same, I will solve for m

10m+100=30m

-10m 10m

100=20m

Divide both side by 20

100/20=20m/20

5=m or m=5

So after 5 bags of mulch, the total cost for both companies is the same.

Answer:

The coordinates of point Z is (-16.25, 5)

Step-by-step explanation:

The given information are;

The coordinates of the endpoint A on segment AB = (-18, 5)

The coordinates of the endpoint B on segment AB = (-4, 5)

Therefore, given that the endpoints A and B have the same y-coordinate value, (5), then segment AB is horizontal, and the length of segment AB = -4 - (-18) = -4 + 18 = 14

The point Z located at exactly 1/8 from A to B is given as follows;

[tex]Z = \left (-18 + (-4 - (-18)) \times \dfrac{1}{8} , \ 5 + (5 - 5)\times \dfrac{1}{8} \right ) = (-16.25, \ 5)[/tex]

The coordinates of point Z = (-16.25, 5).

Answer:

45 Feet

Step-by-step explanation:

0.5 goes into 4.5 9 times so 9 times 5 = 45

8 steps

this is because when she moves front, she takes 1 step back, so 16/2=8

A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The correct option is C.

A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex.

The net that will not form a cube is C, because of the two side flaps which will overlap, therefore, will form an open box from the side.

Hence, The correct option is C.

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Answer:

The rates are equal

Step-by-step explanation:

To see if the rates are equal, divide both of the units by the number of minutes:

60/3

= 20

80/4

= 20

This means both rates are equal, since we got 20 for both of them

This means the rate is 20 units per 1 minute, for both rates.

So, the rates are equal.

Answer:

They are equal

1=20

2=40

3=60

4=80

Step-by-step explanation:

Answer:

i think it is 10

Step-by-step explanation: