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Musya8 [376]
1 year ago
7

Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was

able to map one figure onto the other using a reflection and a rotation. Amad concluded: "I was able to map \triangle ABC△ABCtriangle, A, B, C onto \triangle EDF△EDFtriangle, E, D, F using a sequence of rigid transformations, so the figures are congruent."

Mathematics
1 answer:
11111nata11111 [884]1 year ago
3 0

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

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240 people are going to a charity event 3/5 of the guests have ordered chicken for their meals of the remaining guests 12.5% hav
Yuri [45]

Answer: 84 people

Step-by-step explanation:

From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:

= 240 - 144

= 96 people.

Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.

The people who haven't ordered their meals yet will be:

= 96 - 12

= 84 people.

6 0
2 years ago
A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi
sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0
2 years ago
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of
Scilla [17]

Answer:

x≥38 points

Step-by-step explanation:

Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?

julio has a 24 game basketball season.

he has played 8, it means there are 16 more games to go

therefore=

he has scored 256 nts, wic means there are still 608 points to go .

864-256=608

x is the points he more score per every game.

16x=608

to break the records ,he must score an extra point 1

so 16x≥608

x≥38

8 0
1 year ago
Read 2 more answers
A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y
Nuetrik [128]

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

f(x)=52.3x+3.548

This is a linear equation in slope intercept form

where

The slope is equal to

m=52.3\ grams/ year

The y-intercept or initial value is equal to

b=3,548\ grams

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested  in the year 2012

The exact value of the average amount of grams of salt ingested  in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

3,554\ g\neq 3,548\ g

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0
2 years ago
Andrew is buying pencils, and he wants to buy fewer than 25. He plans to give 75% of the pencils to his students and save three
sweet-ann [11.9K]

Answer:

50%

Step-by-step explanation:

the will have 75minis 25

4 0
1 year ago
Read 2 more answers
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