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Arada [10]
3 years ago
9

Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and e

ach group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

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Please help me with math
Marat540 [252]

The area of triangle BMN is 124.7 square centimeter.

<h3>What are similar triangles?</h3>

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

(BH)^{2} = (AB)^{2} - (AH)^{2}

(BH)^{2} = 50^{2} - 25^{2}

(BH)^{2} = 2500 - 625

(BH)^{2} = 1875

BH = \sqrt{1875} = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

Learn more about similar triangles: brainly.com/question/2644832

#SPJ1

4 0
2 years ago
F(8)=x+2 solve for x
lorasvet [3.4K]

Answer:

f(x) = x + 2

f(8) = 8 + 2

f(8) = 10

3 0
3 years ago
Please I need your help!! Find the value of x.
UkoKoshka [18]

Answer:

x = 21°

Step-by-step explanation:

Triangle = 180°

Angle YXZ = 34°

Angle XZY = (x + 104)°

Angle x = ?

34° + x° + 104° + x° = 180°

138° + 2x° = 180°

2x° = 180° - 138°

2x/2 = 42/2

x = 21°

7 0
3 years ago
How to solve system of linear equations by elimination
kondaur [170]

Say you have the system:

2x + 7y = 4

3x + 5y = -5

To solve this system using elimination, you want to cancel out either the x terms or the y terms. In this equation, it makes most sense to get rid of the x terms because they can easily be calculated as opposites. So, what we need to do is multiply each term in the first equation by 3 and multiply each term in the second equation by -2:

6x + 21y = 12 (2 * 3 = 6; 7 * 3 = 21; 4 * 3 = 12)

-6x -10y = 10 (3 * -2 = -6; 5 * -2 = -10; -5 * -2 = 10)

With that, the x terms automatically cancel out and we're left with:

21y = 12

-10y = 10

From here, we can add both equations together and get:

11y = 22

y = 2 (divide both sides by 11)

After we have one variable, we can plug it right back into either of the first two original equations; ours were 2x + 7y = 4 and 3x + 5y = -5.

So we'll take the first one and put 2 in the place of y to solve for x:

2x + 7(2) = 4

2x + 14 = 4 (multiply 7 and 2)

2x = -10 (subtract 14 from both sides of the equation)

x = -5 (divide both sides by 2)

We have that y = 2 and x = -5; there is only one more step - check your work!

Plug both values back into both original equations to check your work:

2(-5) + 7(2) = 4   =>   -10 + 14 = 4   Correct!

3(-5) + 5(2) = -5   =>   -15 + 10 = -5   Correct!

I hope this was comprehensive enough. Let me know if you have any more questions.

5 0
3 years ago
An exam consists of 10 true-or-false questions. If a student guesses at every answer, what is the probability that he or she wil
Bond [772]
1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 1/64.

I think there is is 1/64 chance.
5 0
3 years ago
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