There are 18 girls and 24 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy and girls has to be the same for each team. Everyone must participate in the game. If the girls and boys form the greatest number of teams possible, how many boys will be on each team? *

Answer:

i dont know need points

Step-by-step explanation:

Answer:

1. Arc angle

2. Angle at circumference

3. Base angle of an isosceles triangle

4. Sum interior of angles in a triangle

5. Sum interior of angles in a triangle

6. The sum of angles on a straight line

7. Sum interior of angles in a triangle

8. Sum interior of angles in a triangle

9. Angle from a tangent to the radius of a circle

10. Alternate angles of line crossing two parallel lines

Step-by-step explanation:

Here, we note that, the angles where derived as follows;

1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°

2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference

∴ The angle at the circumference, angle 2 = 180°/2 = 90°

3.  Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°

4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)

∴ 25° + 90° + ∡C = 180°

Hence ∡C = 180° - (90° + 25°) = 65°

5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius

Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives

∡8 + 90° + 30° = 180°, hence;

∡8 = 180° - (90° + 30°) = 60°

∡8 = opposite ∡8 = 60°

Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)

Therefore ∡5  = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°

6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)

Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°

7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)

∡E + ∡2 = 180° (The sum of angles on a straight line)

∴ ∡E = 180° - ∡2 = 180° - 90° = 90°

Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°

∴ ∡7 = 35°

8. ∡8 = 60° as found above

9. ∡9 = 90° (Angle from a tangent to the radius of a circle)

10. ∡10 = ∡8 = 60° (Alternate angles).

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

Answer: 292

Step-by-step explanation:

The formula is: [tex]a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.

[tex]a_1=[/tex] First term

[tex]d=[/tex] Common difference.

To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]

4-(-2)=?

4+2=?

6 -> this is our common difference

---------------------------------

10-4=?

6 -> this is our common difference

--------------------------------

16-10=?

6 -> this is our common difference

------------------------------------------------------------

Knowing this, we plug into the formula the number we're trying to find.

[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]

Answer:

C. 292

Step-by-step explanation:

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

Answer:

1/5

Step-by-step explanation:

the 5 is the total number of times he tried

the 1 is how many times he rolled a 1

Answer: The lower quartile is 10, the upper quartile is 21, and the median is 17.

Step-by-step explanation:

Answer:

It sould be 5,10,26

Step-by-step explanation:

Answer:

my answer was B.

Step-by-step explanation:

I chose C and i got it wrong

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

a^2 + b^2 = c^2

a = side of right triangle

b = side of right triangle

c = hypotenuse

*can only be used for a RIGHT triangle*

( hope i was able to help)

Answer: Carbohydrates have many roles, but the main one is to provide energy. But, they also build macromolecules and store energy

Hope this helps :)

Answer:

Provide the body with energy

Hope this helps!!!

Answer:

12 ft

Step-by-step explanation:

252π/7=36π, so r=6. d=r*2=12 ft

Let's call one triangle ABC, and M the midpoint of AB.

Let's call the other triangle DEF, and midpoint N of DE.

We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF

AB ≅ DE  Given

AM ≅ BM and DN ≅ EN    Def median/midpoint

AM+BM=AB  and DN+EN=DE     Segment addition theorem

2AM=2BM=AB and 2DN=2EN=DE   Substitution (eg BM for AM)

AM ≅ BM ≅ DN ≅ EN        Transitivity, algebra

CM ≅ FN   Given

∠AMC ≅ ∠DNF   Given

ΔAMC ≅ ΔDNF     Side Angle Side

AC ≅  DF   CPCTC

∠BMC ≅ ∠ENF   Supplements of congruent angles are congruent

ΔBMC ≅ ΔENF     Side Angle Side

BC ≅  EF      CPCTC

Δ ABC ≅ Δ DEF   Side Side Side

Y is equal to -50. (y= -50)

Step-by-step explanation: Solve for y

by simplifying both sides of the equation, then isolating the variable.y=−50

Answer:

Domain: [0, 6]

Step-by-step explanation:

There's a rising slope between 0 and 6 and then it's decreasing for the rest.

I hope this helped and have a good rest of your day!

Answer: Bristol's heart rate reaches a maximum of 120

bpm

Step-by-step explanation:

Answer:

Bristol's heart rate reaches a maximum of 120 bpm

At the end of yoga class, Bristol's heart rate returned to her resting heart rate

The graph that models Bristol's heart rate is a parabola

Step-by-step explanation:

Answer:

2,493.796 => 2493.8

Step-by-step explanation:

Answer:

2,492.5 mm^2

Step-by-step explanation:

The formula to find the Surface area is 2 pi r^2 + 2 pi r x h

So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3

2 pi 216.09 + 2 pi 180.81

2 x 678.5226 + 2 x 567.7434‬

1,357.0452 + 1,135.4868

2,492.532‬

The surface area of this cylinder is 2,492.5 mm^2

Answer:

65

Step-by-step explanation:

In order to find the area you have to complete a formula for triangles going Area =  1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)

i don' really get the question but the only 2 mistakes i can spot are:

Munich is in the wrong place and so is Oslo.

explanation:

if you look at the way the other 3 are positioned then you will see

526.36 rounded will be =

= 530

Step-by-step explanation:

the answer should be 18

Answer:

Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.

=> Option B is correct.

Hope this helps!

:)

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

Answer:

x = 10.6

y = 10.6

Step-by-step explanation:

To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.

I hope this was helpful :-)

Answer:

A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2

Step-by-step explanation:

We are given the line y - 2x = 3;

For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;

6 - 2 * x = 3 ⇒ Subtract 6 on either side,

-2 * x = - 3 ⇒ Divide - 2 on either side of equation

x = 1 and 1 / 2 for y = 6,

Solution; A ( 1.5, 6 )

Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;

y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,

y - 30 = 3 ⇒ Add remaining terms,

y = 33 for x = 15,

Solution; B ( 15, 33 )

To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;

y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept

y = 2x + 3, ⇒ Solution; Slope ⇒ 2

Answer:

y = 30x + 20

Step-by-step explanation:

The equation of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 30x + 20

C. =10x+1

y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months

Answer:6/11

Step-by-step explanation:

The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of spinning a 1 and flipping a heads be A

Now , the equation will be

The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }

So , the number of possible outcomes = 5

The probability of spinning a 1 = 1 / number of possible outcomes

Substituting the values in the equation , we get

The probability of spinning a 1 = 1/5

The number of outcomes for flipping a coin = { heads , tails }

Now , the probability of flipping a head = 1/2

So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head

Substituting the values in the equation , we get

The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )

On simplifying the equation , we get

The probability of spinning a 1 and flipping a heads A = 1/10

The probability of spinning a 1 and flipping a heads A = 0.1

Hence , the probability is 1/10

To learn more about probability click :

https://brainly.com/question/17089724

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