In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction, you are given that BD bisects

73 is a 46% increase of 50.

What is percentage ?

A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.

Percentage is defined as a specific part or amount out of a hundred. It is a fraction with the denominator 100 and is denoted by the symbol "percent."

The percent increase formula is as follows:

Percent increase = [(new value - original value)/original value] * 100.

Number of car parking (original value)=50

Number of car parking(new value)=73

The Percentage increase =[(73-50)/50]*100

                                          = [(23)/50]*100  

                                          =.46*100

                                         =46%

73 is a 46% increase of 50.

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Answer:

  (a)  F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Step-by-step explanation:

Wherever the function crosses the x-axis, its sign changes. This lets us make a map of the signs of the function, and identify intervals where it is positive and negative.

The x-intercepts are said to be at x ∈ {-0.7, 0.76, 2.5}.  These three crossing points divide the graph into four (4) intervals. The sign of the function is given as positive at x=0 and negative at x = 1.9. So, our sign map is ...

  < -0.7 . . . . . negative

  -0.7 to 0.76 . . . . . positive (2 at x=0, for example)

  0.76 to 2.5 . . . . . negative (-5.7 at 1.9, for example)

  > 2.5 . . . . . positive

Choosing from the descriptions, the one that matches is ...

  F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

The point that is a solution to the system of inequalities on the coordinates grid is A.

It should be noted that form the information given, the expression is y < −2x + 10. In this case, draw the solid line y = -2x + 10.

Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached.

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Answer: 6

Step-by-step explanation:

Because [tex]\overline{DE} \cong \overline{EF}[/tex], [tex]y=55[/tex]. So, because angles in a triangle add to 180 degrees, [tex]11x+4=70 \longrightarrow x=6[/tex]

Answer:900

Step-by-step explanation:

We know that if [tex]m\angle ABD=2(m\angle DBC)[/tex], then [tex]m\angle ABD=\frac{2n}{3}[/tex] and [tex]m\angle DBC=\frac{n}{3}[/tex].

Since BE bisects [tex]\angle DBC[/tex], we know that [tex]\angle DBE \cong \angle EBC[/tex], and thus [tex]\angle EBC=\boxed{\frac{n}{6}}[/tex]

The answer to the question is,

12 sin(∠B) = 2,           12 sin(∠C) = √3+√35

Sin rule is,

sin(A)/BC = sin(B)/AC = sin(C)/AB

sin(B) = (sin(A)×AC)/BC

sin(C) =(sin(B)×AB)/AC

To solve this question we apply sin rule,

Now we take

12 sin(∠B) =12 (sin(∠A)×AC)/BC

12 sin(∠B) =12 (sin(π/6)×(x/3x))          where ∠A =π/6 and AC=x, BC =3x

12 sin(∠B) =12 ((1/2)×(1/3))

12 sin(∠B) =12/6 = 2

12 sin(∠B) = 2

now we find the value of 12 sin(∠C)

12 sin(∠C) = 12(sin B)×(AB/BC)

now put the value of 12 sin(∠B) = 2

12 sin(∠C) = 2×(AB/BC)

12 sin(∠C) = (2/AC)×[AC×(cos(π/6))+BC×(cos B)]

12 sin(∠C) = 2×[cos(π/6)+(BC/AC)×(cos B)]

cos (π/6) = √3/2 and BC/AC =3

then

12 sin(∠C) = 2×[(√3/2)+3×(cos B)]

cos B= √1-sin²B

12 sin(∠C) = 2×[(√3/2)+3×√(1-sin²B)]

12 sin(∠B) = 2

sin B = 1/6

12 sin(∠C) = 2×[(√3/2)+3×√(1-(1/6)²]

12 sin(∠C) = 2×[(√3/2)+3×√1-(1/36)]

12 sin(∠C) = 2×[(√3/2)+3×√(36-1)/36]

12 sin(∠C) = 2×[(√3/2)+3×√(35/36)]

12 sin(∠C) = 2×[(√3/2)+(3/6)×√35]

12 sin(∠C) = 2×[(√3/2)+(1/2)×√35]

12 sin(∠C) = 2×[(1/2)(√3+√35)]

12 sin(∠C) = √3+√35

Hence the answer is,

12 sin(∠B) = 2,         12 sin(∠C) = √3+√35

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Answer:

3,-3

Step-by-step explanation:

g(3)= (3)³+6(3)²-9(3)-54

= 27+54-27-54

=81-81

= 0

g(-3) = (-3)³+6(-3)²-9(-3)-54

= -27+54+27-54

= 27-27

= 0

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Answer:

[tex]\boxed{\boxed{\bf x = 7}}[/tex]

Step-by-step explanation:

[tex] \sf \cfrac{4x - 4}{20} = \cfrac{30}{25} [/tex]

[tex]\sf 4x - 4 = \cfrac{(20)(30)}{25} [/tex]

[tex]\sf 4x - 4 = \cfrac{600}{25} [/tex]

[tex]\sf 4x - 4 = 24[/tex]

[tex]\sf 4x = 24 + 4[/tex]

[tex]\sf \cfrac{4x}{4} = \cfrac{28}{4} [/tex]

[tex]\sf x = 7[/tex]

The following requires the submission of the details of the parabola related to the equations.

A parabola, simply defined, is a plane curve that is created by a point that is moving such that it's distance from a fixed locus is equal to it's distance from a line that is fixed.

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The full set is;

(x + 7) (3x + 1) = 3x² + 22x + 7

This question introduces the concept of polynomial long division.

This is what we are

Given: (3x² + 22x + 7) ÷ (x + 7) = 3x + 1

Now, from the concept of polynomial long division, we can see that:

if, f (x) ÷ g (x) = h (x),

This means that we can write:

f (x) = g (x) × h (x)

Applying the same concept to the question, we can also say:

(3x² + 22x + 7) ÷ (x + 7) = 3x + 1,

Next; (x + 7) (3x + 1) = 3x² + 22x + 7

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The The square root of R² (the coefficient of determination) is not r, the correlation coefficient. Therefore, it's false.

It should be noted that the correlation coefficient is used to measure how string the relationship between two variables are.

The correlation formula tells us the linear relationship between the variables. R² is the square of the correlation coefficient.

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Answer: Function 1 has the larger maximum at (4,1).

Step-by-step explanation:

The vertex of f(x) is at [tex]x=-\frac{2}{2(-1)}=1[/tex], and [tex]f(1)=-2[/tex].

For the graph, the maximum is obviously at (4,1).

So, Function 1 has the larger maximum at (4,1).

The length of x will be 4 cm if is the angle bisector of A.

A straight line that splits an angle in a triangle into two congruent angles is known as the angle bisector.

Given sides;

AB=12

AE=8

BD=6

DE=x

From the triangle angle bisector theorem;

[tex]\rm \frac{BD}{DE} = \frac{AB}{AE} \\\\ \frac{6}{x} =\frac{12}{8} \\\\ x=4[/tex]

Hence the length of x will be 4 cm.

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Answer:

B

Step-by-step explanation:

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{a}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

a = 7 × 2 = 14

The exponential function is [tex]f(x) = 18(12)^{-x-4} + 2[/tex]

An exponential function is represented as:

y = b^x

Where b represents the base.

The base is given as:

b = 12

So, we have:

y = (12)^x

It is vertically compressed by a factor of 1/8.

So, we have:

y = 18(12)^x

When reflected across the y-axis, we have:

[tex]y = 18(12)^{-x}[/tex]

The horizontal asymptote is y = 2.

So, we have:

[tex]y = 18(12)^{-x} + 2[/tex]

It passes through the point (-3, 4).

So, we shift the function to the right by 4 units

[tex]y = 18(12)^{-x-4} + 2[/tex]

Express as a function

[tex]f(x) = 18(12)^{-x-4} + 2[/tex]

Hence, the exponential function is [tex]f(x) = 18(12)^{-x-4} + 2[/tex]

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Answer:

the answer

Step-by-step explanation:

Answer:

K?

Step-by-step explanation:

The answer of the answer is the answer.

Hope this helped :D

Answer: 65

Step-by-step explanation:
1 + 64 = 65

"Draw a ray with one endpoint" demonstrates the correct first step in copying an angle. This is further explained below.

In general, the distance (which is sometimes stated as a degree) that occurs between two crossing lines or surfaces at or near the point where they meet. This distance might be positive or negative.

The formation of an angle is caused by the conjunction of two rays at a single point in space. The split or 'opening' that can be seen between these two rays is referred to as a 'angle,' and the symbol denotes this particular angle. The degree is the standard unit of measurement for angles, and its values include things like 60 degrees and 90 degrees, amongst other possible combinations.

In conclusion, "Draw a ray with one terminal" illustrates the correct first step in duplicating an angle. This step shows how to replicate an angle.

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Since there are only two (2) sellers in the town with many buyers, the competitive situation which Jameson's Grocery is experiencing is an oligopoly.

An oligopoly can be defined as a market structure which comprises a small number of business firms (sellers) that are offering identical (similar) products to many buyers, wherein none of the sellers can limit the significant influence of others.

In this scenario, we can infer and logically deduce that the competitive situation which Jameson's Grocery is experiencing is an oligopoly because there are only two (2) sellers in the town with many buyers (1,000 students).

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Answer:

3/2

Step-by-step explanation:

We can use the slope formula to find the slope of the line

m = ( y2-y1)/(x2-x1)

Using the points (0,-4) and (2,-1)

m = ( -1 - -4)/( 2 - 0)

   = (-1+4)/ (2 -0)

   = 3/2

The number 2007 is in the 63rd row

The pattern is given as

1

2  3

4  5  6

The sum of n natural numbers is:

Sum = 0.5n(n + 1)

Assume n = 62

Sum = 0.5 * 62 * (62 + 1)

Sum = 1953

Assume = 63

Sum = 0.5 * 63 * (63 + 1)

Sum = 2016

2007 is between 1953 and 2016

Since 2016 is greater than 1953, we can conclude that 2007 is in row 63

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The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequalities given:

[tex]1.5 > 2\dfrac{1}{2}[/tex]

or

1.5 > 2.5  (false)

1/2 > 0.5

0.5 > 0.5 (false)

-2.5 > -1.5 (false)

[tex]-3 \dfrac{1}{2} > -4.5[/tex]

-3.5 > -4.5  (true)

Thus, the inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

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AMSWER :

Just remove the given angle from 180°

since , a straight line makes a angle of 180°

hence,

ROQ + ROP = 180°

144° + ROP = 180°

ROP = 180° - 144° = 36°

.

.

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Answer:

80?

hshsshjsjsjjsjajjsjsnnsnsnnw

Step-by-step explanation:

hhddussisusuis

The angle of depression from the top of the flag pole to point A is 36.2 degrees.

From trigonometric ratio: cos(θ) = Adjacent / Hypotenuse

Given that;

cos(θ) = Adjacent / Hypotenuse

Cos(θ) = 25ft/31ft

Cos(θ) = 0.80645

θ = cos⁻¹( 0.80645 )

θ = 36.2°

Therefore, the angle of depression from the top of the flag pole to point A is 36.2 degrees.

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Answer:

a₃ = 19

Step-by-step explanation:

to find the third term substitute n = 3 into the nth term rule

a₃ = 4(3) + 7 = 12 + 7 = 19

Answer:

a₃ = 19

Step-by-step explanation:

the relationship between any two terms of an arithmetic sequence (in our case the relationship between the 3rd term and nth term)  gives us this equality :

[tex]a_n - a_3 = 4(n-3)[/tex]

Then

4n + 7 - a₃ = 4n - 12

Then

7 - a₃ = - 12

Then

7 + 12 = a₃

Then

a₃ = 19