How is 10+10 the same as 11+11?

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

Answer:y times 20 p

Step-by-step explanation:

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

Answer:

Yes.

Step-by-step explanation:

Every x (first numbers in pairs) is different, so the relation is a function. There are two of the same y's (second numbers in pairs), but that's okay to have in a function.

Hope this helps you!! Have a nice day ^^

The given relation is a function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences

Given coordinates are

(2,3) (4,7) (3,9) (5,7)

As, for the input 2 the out put is 3

for the input 4 the out put is 7

for the input 3 the out put is 9

for the input 5 the out put is 7

So, there are distinct input values and each have output.

hence, the given relation is a function.

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Answer:

the last one

Step-by-step explanation:

i think

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Answer:

4n² - 6

Step-by-step explanation:

Perimeter of the triangle is sum of all sides.

                             Perimeter = -6n² - 2

-8n² +2  -2n² + 2 + third side = -6n² - 2

Combine the like terms in the LHS,

        -8n² - 2n² + 2 + 2 +third side = -6n² - 2

                      -10n² + 4 + third side = -6n² - 2

We can find the third side by subtracting the sum of other two sides from the perimeter.

                                        third side = -6n²- 2  + 10n² - 4

                                                        = -6n² + 10n² -2 - 4

                                                       = 4n² - 6

Answer:

7

Step-by-step explanation:

When x = 5, 2x³ - 12x² + 11x + 2 = 7.

Answer:

\(y=-\frac{2}{3}x+1\)

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Where 'm' is the slope of the line

And 'b' represents the y-intercept

Since slope of a line passing through two points \((x_1, y_1)\) and \((x_2,y_2)\) is modeled by,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

If this line passes through (-3, 3) and (3, -1),

m = \(\frac{3+1}{-3-3}\)

m = \(-\frac{4}{6}\)

   = \(-\frac{2}{3}\)

And 'b' = 1

Equation of this line will be,

\(y=-\frac{2}{3}x+1\)

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:

It's -1/8

Step-by-step explanation:

Answer:

z(max) = 650 $

x₁ = 10 units

x₂ = 15 units

Step-by-step explanation:

That is a linear programming problem, we will use a simplex method to solve it

Formulation:

Let´s call  x₁  number of chairs   and x₂ number of tables then :

Item              (in hours)     cutting       assembly      finishing        Profit ($)

Chairs (x₁)                              1                   2                     1                      20

Tables (x₂)                              2                   1                      1                      30

Availability                           40                 42                   25

Objective Function

z  =  20*x₁   +  30x₂   ( to maximize) subject to:

x₁  +  2x₂   ≤  40

2x₁  + x₂    ≤  42

x₁ + x₂     ≤    25

x₁  ,   x₂  >= 0

Using excel or any other software we find:

z(max) = 650

x₁ = 10

x₂ = 15

The chairs and tables manufactured by the factory is an illustration of linear programming, where the maximum revenue is 674

Let x represent chairs, and y represent tables

So, the given parameters are:

Cutting:

So, the constraint is:

\(\mathbf{x + 2y \le 40}\)

Assembly:

So, the constraint is:

\(\mathbf{2x + y \le 42}\)

Finishing:

So, the constraint is:

\(\mathbf{x + y \le 25}\)

The unit profit on the items are:

So, the objective function to maximize is:

\(\mathbf{Max\ z = 20x + 30y}\)

And the constraints are:

\(\mathbf{x + 2y \le 40}\)

\(\mathbf{2x + y \le 42}\)

\(\mathbf{x + y \le 25}\)

\(\mathbf{x,y \ge 0}\)

Using graphical method (see attachment for graph), we have the following feasible points:

\(\mathbf{(x,y) = \{(10,15),\ (17,8),\ (14.67, 12.67)\}}\)

Calculate the objective function using the feasible points.

\(\mathbf{z = 20 \times 10 + 30 \times 15}\)

\(\mathbf{z = 650}\)

\(\mathbf{z = 20 \times 17 + 30 \times 8}\)

\(\mathbf{z = 580}\)

\(\mathbf{z = 20 \times 14.67+ 30 \times 12.67}\)

\(\mathbf{z = 673.5}\)

Approximate

\(\mathbf{z = 674}\)

Hence, the maximum revenue is 674

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Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Manu tickets should $68 for 12

Answer:

B. 42 cubic units

Step-by-step explanation:

The formula for volume of a rectangular prism is given by :

V = lwh, where

In the diagram, the length is 8 units, the width is 1 1/2 units (i.e., 1.5 units), and the height is 3 1/12 units (i.e., 3.5 units).

Thus, we plug in 8 for l, 1.5 for w, and 3.5 for h in the volume formula to find V, the volume in cubic units:

V = (8)(1.5)(3.5)

V = 12(3.5)

V = 42

Thus, the volume of the prism is 42 cubic units (answer choice B.)

Answer:

b. x + 4

Solution:

Student's age = x

Teacher's age = 6 + 2x

Principal's age = 10 + 3x

Difference in the age of the teacher and principal

(10 + 3x) - (6 + 2x)

= 10 + 3x - 6 - 2x

= (10 - 6) + (3x - 2x)

= 4 + x

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Answer:4

Step-by-step explanation:

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer:

10-10+10÷10×10

Step-by-step explanation:

10-10=0+10=10÷10=1×10=10

Answer:

slope: 5

y-intercept: -4

Answer:

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:

C = π(14 cm)

Multiplying, we get:

C = 14π cm

So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.

Answer:

0.65

Step-by-step explanation:

There’s 65 students total in sports, so you divide that by 100 to get your answer

Answer:

Step-by-step explanation:

sophomore + junior + senior = total number of students that play sports

20 + 20 + 25 = 65

65 ÷ 100 = 0.65

0.65 rounded to the nearest hundred would still be 0.65

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Answer:

19 adults were questioned

10.5% of adults had five children

Step-by-step explanation:

Add all of the hights of the bars

Divide the amount of persons having five children by the amount of persons in total.