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2 months ago

If angle one is congruent to angle 2, and angle 2 is congruent to agle 4 then angle 1 is congruent to angle 4 also

Question

Avery uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She wants to buy 10\,\text{kg}10kg10, start text, k, g, end text more of dark chocolate than milk chocolate, and she needs 150\,\text{kg}150kg150, start text, k, g, end text of chocolate in total for her next order. Let ddd be the number of kilograms of dark chocolate he buys and mmm be the number of kilograms of milk chocolate she buys.

Solution 1

Answer: she needs to buy 80kg of

dark chocolate and 70kg of milk chocolate.

Step-by-step explanation:

Let d represent the number of kilograms of dark chocolate that she buys.

Let m represent be the number of kilograms of milk chocolate that she buys.

She wants to buy 10g more of dark chocolate than milk chocolate. This means that

x = y + 10

She needs 150kg of chocolate in total for her next order. This means that

x + y = 150 - - - - - - - - - - - --1

Substituting x = y + 10 into equation 1, it becomes

y + 10 + y = 150

2y + 10 = 150

2y = 150 - 10 = 140

y = 140/2 = 70

x = y + 10 = 70 + 10

x = 80

Question

a source of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below:a source of laser light is at point a on the ground between two parallel walls. the walls are perpendicular to the ground. ab is a ray of light which strikes the wall on the left at point b which is 30 meters above the ground. ac is a ray of light which strikes the wall on the right at point c. the length of ac is 80 meters. the ray ab makes an angle of 45 degrees with the ground. the ray ac makes an angle of 60 degrees with the ground.what is the distance between the walls?

Solution 1

Let Â AM be the distance between point A and the right wall and AN be the distance between A and the left wall.

Î” AMB is an isosceles right triangle andÂ Â Î” ANC is half of an equilateral triangle.

Length of AM = 30 m. Length of AN = 1/2Â Â· 80 = 40 m.

The distance between the walls is:

**30 m + 40 m = 70 m**.

Î” AMB is an isosceles right triangle andÂ Â Î” ANC is half of an equilateral triangle.

Length of AM = 30 m. Length of AN = 1/2Â Â· 80 = 40 m.

The distance between the walls is:

Solution 2

Answer:

70 m

Step-by-step explanation:

i got it right on the exam

Question

The mean of the data is 44.7. What is the mean average deviation? Round to the nearest tenth, if necessary.

Solution 1

**Answer:**

the answer is 10.3

**Step-by-step explanation:**

Solution 2

**Answer:**

10.3

**Step-by-step explanation:**

Question

Find the x- and y-intercept of the line. 5x â€“ 4y = 40

Solution 1

This is a very simple problem if you solve it using the intercepts method. The x intercept=8 and the y intercept = -10

I figured this out by first covering up the -4y and seeing what x could be to make 40. The answer being 8. Then I covered up 5x and decided that -10 would give me 40 from -10.Â

I figured this out by first covering up the -4y and seeing what x could be to make 40. The answer being 8. Then I covered up 5x and decided that -10 would give me 40 from -10.Â

Solution 2

**Answer:**

x-intercept is 8; y-intercept is â€“10

Question

PLZ HURRY IT'S URGENT!!! Which equation can be used to answer the question below? Christopher made 12 of the 40 recipes he downloaded from the Internet. What percent of the recipes did he make? 12 = 40x 12x = 40 12=x40 x=12(40)

Solution 1

The **percent **of **recipes** made by **Christopher** would be as follows:

- A percentage is a
**quantity**or ratio that is stated as a**fraction**of one hundred. It is frequently symbolized with the**percent sign**, - Total number of
**recipes** - Number of recipes made by Christopher
- Let denotes
**percent**of recipes made by Christopher.

Â Â Â

Find out more information about** "percentage"** here:

Solution 2

**Answer:**

12=40x is the answer

**Step-by-step explanation:**

Question

5 is what percent of 23

Solution 1

5 = what percent of 23

5 = x% of 23

5 = (x/100)*23

5 = 23x/100

5*100 = 23x

23x = 5*100

x = 5*100/23

x = 21.739

5 isÂ â‰ˆ 21.739% of 23Â

5 = x% of 23

5 = (x/100)*23

5 = 23x/100

5*100 = 23x

23x = 5*100

x = 5*100/23

x = 21.739

5 isÂ â‰ˆ 21.739% of 23Â

Question

in a year-long music course, you are required to attend 12 concerts. last season, the lengths of the concerts were 92, 101, 98, 112, 80, 119, 92, 90, 116, 106, 78, and 65 minutes. find the five-number summary for the data. which boxplot would best represent the data?

Solution 1

In order to choose the boxplot , you can follow this step :

- Determine the start point and the end point of the boxplot,Â

You can do this by finding the smallest and the highest number. In this case, the start point will be : 65 , The end point will Â be 119

- the next is found the box that cover other numbers, in this case, found the box that cover 90 to 116

And then pretty much it, hope this helps

- Determine the start point and the end point of the boxplot,Â

You can do this by finding the smallest and the highest number. In this case, the start point will be : 65 , The end point will Â be 119

- the next is found the box that cover other numbers, in this case, found the box that cover 90 to 116

And then pretty much it, hope this helps

Solution 2

Answer:

B lol

Step-by-step explanation:

Got it right

Question

Choose a bedroom in your house. Find the total volume of the room, including its closet. Remember, most homes have 8-foot ceilings.

Solution 1

**Answer:**

600ftÂ³

**Step-by-step explanation:**

The room is 7ft by 9ft and the closet is 3ft by 4ft

The volume of the room is 7 * 9 * 8 = 504ftÂ³

The volume of the closet is 3 * 4 * 8 = 96ftÂ³

The total volume = 504ftÂ³ + 96ftÂ³ = 600ftÂ³

Question

it took heather 2/3 of an hour to read 20 pages in her library book. how long did it take her to read one page

Solution 1

2/3 hour .Â Â Â 1 hour = 60 minutes.

2/3 hour = (2/3) * 60

Â Â Â Â Â Â Â Â = 40 minutes.

20 pages tookÂ (2/3) hour = 40 minutes.

20 pages took her 40 minutes to read.

1 page = 40/20 = 2 minutes.

1 page took her 2 minutes to read.

2/3 hour = (2/3) * 60

Â Â Â Â Â Â Â Â = 40 minutes.

20 pages tookÂ (2/3) hour = 40 minutes.

20 pages took her 40 minutes to read.

1 page = 40/20 = 2 minutes.

1 page took her 2 minutes to read.

Question

Identify the underlined place in 183.6733. Then round the number to that place. The 7 is underlined.

Solution 1

**Answer:**

**Step-by-step explanation:**

The 7 underlined is hundredth

to round off 183.67(2 decimal place)

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