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Mathematics High School

if angle 1 is congruent to angle 2 and angle 2 is congruent to angle 4

if angle 1 is congruent to angle 2 and angle 2 is congruent to angle 4 what property allows you to state the angle 1 is congruent to angle 4

2 months ago

Solution 1

Guest

Guest #2392131

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

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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

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y = 140/2 = 70

x = y + 10 = 70 + 10

x = 80

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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 AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and Δ ANC is half of an equilateral triangle.
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The distance between the walls is:
30 m + 40 m = 70 m.

Solution 2

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Step-by-step explanation:

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

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Step-by-step explanation:

Solution 2

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Step-by-step explanation:

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Find the x- and y-intercept of the line. 5x – 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.

Solution 2

Answer:

x-intercept is 8; y-intercept is –10

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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)

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

$12=40x$

Percentage

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 $=40$
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Let $x$ denotes percent of recipes made by Christopher.

$x \times 40=12$

$\textbf{12=40x}$

Find out more information about "percentage" here:

brainly.com/question/1691136

Solution 2

Answer:

12=40x is the answer

Step-by-step explanation:

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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

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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,
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 be 119
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Step-by-step explanation:

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