19. There are 1,200 students at Thomas School, Each
day, students take 5 classes and teachers teach 4 classes. If each class
has 30 students and 1 teacher, how many teachers teach at the school?

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

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Answer:

[tex]y = - \frac{4}{3} x + 3[/tex]

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

8x +6y= 18

Move everything that is not a y term to the right side of the equation:

6y= -8x +18

Divide both sides by 6 so that the coefficient of y is 1:

[tex]y = - \frac{8}{6} x + \frac{18}{6} [/tex]

[tex]y = - \frac{4}{3} x + 3[/tex]

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we  approximate the known  number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the  given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than  weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

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[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]

[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]

Answer:

Step-by-step explanation:

(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)

                    = 4x*x - 3*4x + x*2 - 3*2

                    = 4x² - 12x + 2x - 6   {Combine like terms}

                    = 4x² - 10x - 6

Answer:

the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.

Step-by-step explanation:

hope I helped you! :D

what is this how so i do this

Answer:

  1 2/3 hours

Step-by-step explanation:

At constant speed, the time is proportional to the distance.

  time/distance = 2.5 h/150 mi = x /100

  x = 100(2.5/150) h = 5/3 h = 1 2/3 h

It will take the train 1 2/3 hours to travel 100 miles.

Answer:

64 by 16 feet

Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.

Answer:

Letter b

Step-by-step explanation:

because it is

Answer:

See below:

Step-by-step explanation:

As there doesn't appear to be a full question, I guess you want me to tell you the definition of complementary.

Complementary and Supplementary angles are when angles make up 90 degrees or 180 degrees respectively, the order being:

+ Supplementary Angles are angles that add up to 180 degrees

+ Complementary Angles are angles that add up to 90 degrees.

So in this context, it means that the sum of the degrees of angles 9 and 10 are equal to 90 degrees.

Cheers!

Harry is  x years old now.

Harry was x-3 years old three years ago.

Three years ago, Jenny was 2(x-3)=2x-6  years old.

Now, Jenny is 2x-6+3 years old.

In three years time, Jenny will be 2x-6+3+3=2x  years old.

In three years time, Ahmed will be 5(2x)= 10x  years old.

Hope this helped you-have a good day bro cya)

Answer: 3

Step-by-step explanation: toppings are 50 cents so 50 * 3 = $1.50

Answer:

sorry I don't know the answer

Answer:

111

Step-by-step explanation:

U calculate the 47°&22°and u cut 69° then u put 180-69=111°

Answer:

25%

Step-by-step explanation:

1925 - 1440 = 485

X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)

(485 x 100) / 1925 (cross multiply)

48500/1925 = 25%

Answer:

Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool

Answer:

answer is the number 5

Step-by-step explanation:

First you square root 9 which is 3. Then u  3-1=  2.   then u times 2 by 6 which equals = 12. Then minus 7 from this number.    12-7=5            ur number is 5.

Answer:

(hope this helps can I pls have brainlist (crown))

Step-by-step explanation:

Morgan could work 6 hours lifeguarding and 3 hours walking dogs.

the total number of hours worked in both jobs,

x+y

x+y, must be less than or equal to 11

solve inequalities for y

x+y≤11

y≤11−x

Morgan makes $19 per hour lifeguarding, so in x hours she will make

19x dollars. Morgan makes $6 per hour walking dogs, so in

y hours she will make 6y dollars. The total amount earned 19x+6y

19x+6y must be greater than or equal to

$120

solve inequalities for y

19x+6y≥120

6y≥120−19x

y≥20-19/6x

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

Answer:

36

Step-by-step explanation:

60x3 = 180

48x3=144

subtract those 2wo numbers ( 180 and 144 ) and you'll get 36

Answer:

8

Step-by-step explanation:

Ik it is cus ik my number lines

PLS MARK ME BRAINLIEST

Answer:

I think it's 8 I'm not sure

y is 5% more than 110:

y = 110 x 1.05 = 115.50

x = 5% less than y:

x = 0.95(115.50)

x = 109.725

Answer:

→ [tex]90°[/tex]

Step-by-step explanation:

Given that

PQRS is a rhombus

The diagonals PR and QS intersects at O

We know that

In a rhombus the diagonals bisects at each other at 90°

So,

In ∆ POQ,

∠ POQ + ∠OPQ + ∠OQP = 180°

➜ 90° + ∠OPQ + ∠OQP = 180°

➜ ∠OPQ + ∠OQP = 180° -90°

➜ ∠OPQ + ∠OQP = 90°

Therefore, the measure of ∠OPQ + ∠OQP is 90°.

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Similar Questions

In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.

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Answer:

???????????????????????????????

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation: