A teacher surveyed all 120 of her students about their lunch and lunch schedule. The teacher asked two questions:
• Do you buy a school lunch or bring lunch from home?
Do you eat during festlunch, second lunch, or third lunch
The results showed the majority of her students eat during second lunch and most students buy a school lunch
Which two way table could be a correct representation of the results?

       Triangles given in Options (b) and (c) are similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

       [tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

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Answer: 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

Answer:

Step-by-step explanation:

H

Answer:

-32=2x-14

Step-by-step explanation:

-32=2x-14

-18=2x

-9=x

Answer:

2x-14 =-32

Step-by-step explanation:

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

Answer:

4¹⁰

Step-by-step explanation:

4³ × 4⁷ = 4³⁺⁷ = 4¹⁰

Answer:

80 miles per an hour

Step-by-step explanation:

400 divided by 5 equals= 80 so 80miles = 1 hour

Answer:

80 miles per hour.

Step-by-step explanation:

Start with the speed formula.

[tex]speed=\frac{distance}{time}[/tex]

In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.

Substitute:

[tex]speed=\frac{400}{5}[/tex]

Divide.

[tex]400[/tex] ÷ [tex]5[/tex]

Solve:

[tex]400[/tex] ÷ [tex]5=80[/tex]

≈ 63.30 ft²

Heron formula

A = √p(p - a)(p - b)(p - c)

a = 9 ; b = 15 ; c = 20

p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22

A = √22(22-9)(22-15)(22-20)

= √22×13×7×2

= √4004

≈ 63,27

≈ 63.30 ft²

Answer:1=£34.2

2=£66.6

3=£9.18

4=£13,158

Step-by-step explanation:

We are decreasing the prices by 10%

1.£38

£38 = 100%

? =90%

90×38÷100=£34.2

2.£74

£74=100%

? = 90%

90×74÷100=£66.6

We are increasing the the salaries by 2%

1.£9

£9=100%

? =102

102×9÷100=£9.18

2.£12900

£12900=100%

? =102%

102×12900÷100=£13,158

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

Answer:

Surface Area =237.5

Answer:237.5

Step-by-step explanation:

Answer:

$19.8

Step-by-step explanation:

To find the answer, find the  ratio.

Answer: 1980

Step-by-step explanation:

Set yp a proportion

5.60dollars=56texts

----------------   ----------

198dollars=    x

Then you cross multiply the 198 with the 56

then you divide the 5.60

Answer: the answer would be 75.6 i think, sorry if that's wrong

Step-by-step explanation:

38-9.4=28.6

28.6+47=75.6

Answer:

Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.

Answer:

B

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]

And we want to find:

[tex]h(f(-1))[/tex]

So, find f(-1) first. Substitute -1 into f(x):

[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]

Square:

[tex]f(-1)=-2(1)-5(-1)+1[/tex]

Multiply:

[tex]f(-1)=-2+5+1[/tex]

Add:

[tex]f(-1)=4[/tex]

Now, substitute this into h(f(-1)):

[tex]h(f(-1))=h(4)[/tex]

So, substitute 4 into h(x):

[tex]h(4)=3(4+3)^2-11[/tex]

Add:

[tex]h(4)=3(7)^2-11[/tex]

Square:

[tex]h(4)=3(49)-11[/tex]

Multiply:

[tex]h(4)=147-11[/tex]

Subtract:

[tex]h(4)=136[/tex]

So, our answer is B.

And we're done!

Answer:

305,200

Step-by-step explanation:

Answer:

Yes; domain: all real numbers; range: y [tex]\geq[/tex] 0

Step-by-step explanation:

1. Use the vertical line test to see if it is a function.

2. Figure out what the lowest and highest point x can be. In this case x can be any number

3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y [tex]\geq[/tex] 0

*Note: Domain are the x values & Range are the y values

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

From the given graph we need to check whether it is a function.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

From the graph we can see all the y values are equal and greater than y.

That is, y ≥ 0

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

To learn more about the domain and range of the function visit:

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Answer:my answer is oooof

Step-by-step explanation:

x=127

since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

Given, equation in the question which we have to solve is

[tex]2x - 5 = 7[/tex]

Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,

[tex]2x - 5 + 5 = 7 + 5[/tex]

[tex]2x = 12[/tex]

Divide 2 from both sides,

[tex] \frac{2x}{2} = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

So, the correct option is A.

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Answer:

20 the answer is 20 because you plug in 4 for n.