At a baseball game, 84% of people attending were supporting the home team, while 16% were supporting the visiting team. If the total number of people attending the game was 2700, how many people attending were supporters of the home team?

Answer:

angke D = 105°

Step-by-step explanation:

All triangles add up to 180°. 30+45=75 180-75=105

In triangle DEF, the measure of angle D is 105°.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle DEF,

Value of ∠ E = 30°, ∠ F = 45°.

Let the value of ∠ D  is x°.

Since, the sum of the angles of a triangle is 180°.

Apply this property in triangle DEF,

30 + 45 + x = 180

75 + x = 180

x = 180 - 75

x = 105

The value of ∠ D is 105°.

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The correct answer is 2858.

Part A: (x, y) ⇒ (x, y -3) is the overall transformation

Part B: Yes both figures are congruent.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Part A:

From the given figure it is clear that the vertices of preimage are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).

The vertices of image are A'(4,1), B'(2,-1), C'(2,-4) and D'(4,-2).

1st transformation - reflection across y-axis

Sign of x coordinate gets changed

(x, y) ⇒ (-x, y)

A(-4,4) ⇒ (4, 4)

B(-2,2) ⇒ (2, 2)

C(-2,-1) ⇒ (2, -1)

D(-4,1) ⇒ (4, -1)

2nd transformation - 3 step down

Y = y - 3

(x, y) ⇒ (x, y -3)

(4, 4) ⇒ A'(4, 4 - 3) = (4, 1)

(2, 2) ⇒ B'(2, 2 - 3) = (2, -1)

(2, -1) ⇒ C'(2, -1 - 3) = (2, -4)

(4, 1) ⇒ D'(4, 1 - 3) = (4, -2)

(x, y) ⇒ (-x, y -3) is the overall transformation

Part B:

Two figures are congruent because they have same size and shape.

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Answer:

This is what I think it is but im no good at this so sorry if it is wrong. XP

Step-by-step explanation:

y=4/7x

y*7= 4/7*7x

y*7=4x

7y/4x = 4x/4x

7y/4x=0

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Answer:

9.8m/s^2

Step-by-step explanation:

9.8m/s^2 is the acceleration of gravity on earth.

Answer:

V would be equivalent to 300 students

Step-by-step explanation:

Noting that 3 teachers already have 60 students

If we're given 15 teachers, try dividing it by the 3 teachers that we originally have.

15/3 would be 5

We would now proceed to multiply the 60 students by 5 for the total amount of students with 15 teachers.

60*5 would be 300

Your answer should be 300 students.

Answer:

can we explain it

Step-by-step explanation:

Answer:

The slope is -1.333.

Step-by-step explanation:

Answer:

0.4166666666666666666666666666666666666666666666666666666666666666

Step-by-step explanation:

2/3 - 1/4 = 5/12

Simplify the following:

2/3 - 1/4

Hint: | Put the fractions in 2/3 - 1/4 over a common denominator.

Put 2/3 - 1/4 over the common denominator 12. 2/3 - 1/4 = (4×2)/12 - 3/12:

(4×2)/12 - 3/12

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8/12 - 3/12

Hint: | Subtract the fractions over a common denominator to a single fraction.

8/12 - 3/12 = (8 - 3)/12:

(8 - 3)/12

Hint: | Subtract 3 from 8.

8 - 3 = 5:

Answer: 5/12

Convert 5/12 to decimal = 0.4166666666666666666666666666666666666666666666666666666666666666

Answer: 5/12

Step-by-step explanation:

9514 1404 393

Answer:

  $460

Step-by-step explanation:

If w is the number of weeks the car is rented, and m is the number of miles driven, the cost structure tells you the rental cost (c) is ...

  c = 180w +0.25m

For w=2 and m=400, this becomes ...

  c = 180·2 +0.25·400 = 360 +100 = 460

The cost of the 2-week rental will be $460.

__

The family size is irrelevant to the cost.

Answer:

a i think

Step-by-step explanation:

Answer:

The liquid will take 17.5 minutes to reach -10.5 ºC.

Step-by-step explanation:

From this statement we understand that the temperature of liquid is increased at constant rate in time, whose model is described by:

[tex]T (t) = \dot r \cdot t + T_{o}[/tex] (Eq. 1)

Where:

[tex]T[/tex] - Temperature of the liquid, measured in degrees Celsius.

[tex]\dot r[/tex] - Heating rate, measured in degrees Celsius per minute.

[tex]t[/tex] - Time, measured in minutes.

[tex]T_{o}[/tex] - Initial temperature, measured in degrees Celsius.

If we know that  [tex]\dot r = -0.60\,\frac{^{\circ}C}{min}[/tex] and [tex]T_{o} = 0\,^{\circ}C[/tex], the temperature model for the liquid is:

[tex]T(t) = -0.60\cdot t[/tex] (Eq. 2)

In addition, if [tex]T(t) = -10.5\,^{\circ}C[/tex], then time taken for the liquid to reach that temperature is:

[tex]t = \frac{-10.5}{-0.60}[/tex]

[tex]t = 17.5\,min[/tex]

The liquid will take 17.5 minutes to reach -10.5 ºC.

Answer:

y+4 _<_ 10

Step-by-step explanation:

Answer:

4+y>10

Step-by-step explanation:

Pls give Brainliest!

x=36

hope this helped ;)

Answer:

The equation is;

y = 200•0.8^x

where y is the number of bears remaining and x is the year number in particular

Step-by-step explanation:

Let us have the rate of decrease as r and we set up an exponential equation

y = I• ( 1 - r)^x

where r is the percentage decrease, I is the initial population = 200 and x is the number of years

For the population after 1 year, we have;

160 = 200( 1 -r)^x

divide both sides by 200

0.8 = (1-r)^1

0.8 = 1 - r

r = 1 - 0.8

r = 0.2

So the equation will be;

y = 200( 1 - 0.2)^x

y = 200•0.8^x

Given:

The smaller size is 24 oz and cost $3.99.

The larger size is 64 oz and cost $6.99.

To find:

Which has the lower unit cost?

Solution:

The formula for unit cost is

[tex]\text{Unit cost}=\dfrac{\text{Total cost}}{\text{Quantity}}[/tex]

The unit cost of smaller size is

[tex]\text{Unit cost of smaller size}=\dfrac{3.99}{24}[/tex]

[tex]\text{Unit cost of smaller size}=0.16625[/tex]

The unit cost of larger size is

[tex]\text{Unit cost of larger size}=\dfrac{6.99}{64}[/tex]

[tex]\text{Unit cost of larger size}=0.10922[/tex]

It is clear that, 0.10922 is less than 0.16625.

Therefore, the unit cost of larger size is lower.

Answer:

92

Step-by-step explanation:

Miami scored 79 points which was 13 LESS than Chicago.

So, Miami = Chicago - 13, (change Miami to their score)

79 = Chicago - 13 (add 13 to both sides to isolate Chicago and find answer)

92 = Chicago

Equation: 79 = Chicago - 13

Answer:

(x+11)(x-1)

Step-by-step explanation:

Answer:

x = 11, and x = -1

Step-by-step explanation:

X^2 - 10x -11 =0

(x - 11) (x +1 ) = 0

x = 11, -1

Answer:

098765

Step-by-step explanation:

Answer:

(

81−1

4

(4))(√8)(1)

=

2

81

√2(Decimal: 0.034919)

Step-by-step explanation:

i hope i am correct.

Answer:

This means that the isotope of silicon with a mass number of 28 is by far the most common of these three isotopes.

Explanation:

The abundance of Si-28 is 92.23%. Si-29 is 4.68% and Si-30 is 3.09%.

Answer: -1

Step-by-step explanation:

(2–4)/(-2-4)=6/-6=-1

Answer:

(n)/(8)=(11)/(5)

Step-by-step explanation:

n

8

=

11

5

Multiply both sides of the equation by  

8

.

8

⋅

n

8

=

8

⋅

11

5

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of  

8

.

Tap for more steps...

n

=

8

⋅

11

5

Multiply  

8

(

11

5

)

.

n

=

88

5

The result can be shown in multiple forms.

Exact Form:

n

=

88

5

Decimal Form:

n

=

17.6

Mixed Number Form:

n

=

17

3

5

Answer:

A. The domain of f(x) is {all real numbers}.

B. The range of f(x) is {all real numbers}

E. f(2) = 4

Explanation

Find the graph attached.

The domain of a function is the value of the input variable x for which the function f(x) exists. Given the function

f(x) = 1/2 x + 3

The function will exist on all values of x (either positive or negative).

The domain can be said to exist on all real values. If you look at the graph, we will see that the line tends to both negative infinity and positive infinity. Hence the domain can be represented according to the set notation:

DOMAIN: (-∞, ∞)

The range is the set of output value y for all input variable x. The output value y will also exist on all real values because, no matter the value of x imputed in the function, we will always get a finite value as the output. Hence the range of the function is denoted by the set notation:

RANGE:  (-∞, ∞)

Next is to get f(2).

To get f(2), we will set the input value as 2 and calculate for the output value as shown:

f(2) = 1/2(2) + 3

f(2) = 1+3

f(2) = 4

Hence the following are true of the function:

The domain of f(x) is {all real numbers}.

- The range of f(x) is {all real numbers}

- f(2) = 4

Answer:

Step-by-step explanation:

did you try asking your teacher for help

Answer:

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

y − y1 = m(x−x1) to find the line parallel to y=2x − 3.y = 2x+4

Hope this help