If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.

If M&lt; EBC = 3y+10 And M&lt; ABE = 2y-20, Find M&lt; EBF.

Answers

Answer 1

The value of angle m< EBF  is determined as 56⁰.

What is the sum of angles in a straight line?

The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.

m< EBC  + m< ABE = 180

3y + 10 + 2y - 20 = 180

5y - 10 = 180

5y = 180 + 10

5y = 190

y = 190/5

y = 38

The value of m< EBF is calculated as follows;

Assuming equal division, m< EBF = m< ABE

m< EBF = 2y - 20

m< EBF = 2(38) - 20

m< EBF = 56⁰

Thus, the value of angle m< EBF  is determined as 56⁰.

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Related Questions



What is the range?
0-5 -6 -4 -3

Answers

Answer: 2 I think

Step-by-step explanation:

Consider the line that passes through the point P(-1,-1) and is parallel to the line x-y=7. Write the point slope equation of the line. Use exact values.​

Answers

Answer: y=x

Step-by-step explanation:

[tex]x-y=7\\x-y+y=7+y\\x=7+y\\x-7=7+y-7\\x-7=y[/tex]

The line that parallel to the line x-y=7 is:

[tex]y=x+b[/tex]

The line that passes through the point P(-1,-1), hence:

[tex]-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x[/tex]

What is the value of −3 + |−17|?

20
14
−14
−20

Answers

Answer:

b) 14

Step-by-step explanation:

Given problem,

→ -3 + |-17|

Let's solve the problem,

→ -3 + |-17|

→ -3 + 17

→ 14

Hence, the answer is 14.

11. There are 106 nails in one pound of 8d com-
mon nails. How many are in a 50-pound box?

Answers

Answer:

5300

Step-by-step explanation:

The ratio of cars to trucks in a parking lot is 5 cars to 3 trucks. there are 30 cars in the parking lot. how many trucks are in the parking lot

Answers

If the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

Given,

The ratio of cars to truck in the parking lot = 5:3

Total number of cars in the parking lot =30

Then, the equation will be

5x=30

x=6

Then,  the number of tucks in the parking lot =3x

3×6=18

Hence, if the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

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5. Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on
directed line segment AB that partitions AB in the ratio 1 to 4.

Answers

The correct answer is (x,y)=(-1,-2.4)

The coordinates are a pair of numbers that, using the horizontal and vertical lines, precisely pinpoint a point's location on a cartesian plane. typically represented by (x, y), the point's x and y values on a graph. Every point or an ordered pair comprises two coordinates.

The x coordinate, also known as the abscissa, is the first, and the y coordinate, also known as the ordinate. Any real number, whether positive or negative, can represent the coordinates of a point.

We have given the point

A(-3,-4) and B(2,0)

(x1,y1)=(-3,-4)

(x2,y2)=(2,0)

As P divided line segment AB in the ratio 2 to 3

m/n=2/3

x=(mx2+nx1)/m+n

x=(2)(2)+(3)(-3)/2+3

x=4-9/5

x=-5/5

x=-1

y=(my2+ny1)/m+n

y=(2)(0)+(3)(-4)/2+3

y=0-12/5

y=-12/5

y=-2.4

(x,y)=(-1,-2.4)

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Help please thank you

Answers

From the given integer numbers, the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

Which states have temperatures within 10ºC of Delaware?

The temperature in Delaware is of 5 ºC, hence for our range, we have that:

The lower temperature is of 5 - 10 = -5ºC.The higher temperature is of 5 + 10 = 15ºC.

Alaska(< -5), Tennessee(>15) and WV(<-5) do not have temperatures in this range, hence the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

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What is the answer ?????

Answers

Answer:70/100

Step-by-step explanation: 100/100 is 100% so with that logic 70/100 would mean 70%

Answer 70/100 :) Hope you pass

Which of the following expressions is equivalent to 32x − 3?

the quantity 9 to the power of x end quantity over 27
the quantity 6 to the power of x end quantity over 9
the quantity 2 to the power of x end quantity over 3
the quantity 1 to the power of x end quantity over 9

Answers

The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

Equivalent expression

It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;

3^(2x -3)

= 3^(2x) × 3-³

= (3²)^x × 1/3³

= 9^(x) × 1/27

= 9^(x)/27.

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The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.

How to use Law of Indices?

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³

Now, according to laws of indices;

3^(2x) = (3²)ˣ

Thus, we now have;

= ((3²)ˣ)/3³

= 9ˣ/3³

= 9ˣ/27

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The bar graph displays data on the numbers of babies born each day of the week in the United States in a recent week.
All data in the graph are approximate.
Which of the following choices gives the most complete description of the information presented in the bar graph?

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).

Births occurred with similar frequencies, regardless of the day of the week.

Births occurred with the lowest frequency on Sundays.

The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

Week day births seem to be twice as common as weekend births.

Answers

The correct statements regarding the given bar graph are given as follows:

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).Births occurred with the lowest frequency on Sundays.The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

What does a bar graph show?

A bar graph shows the number of times that each observation appears in the data-set.

Hence, from this bar graph, we have that the average number of births per day, from Sunday to Saturday.

Births are more common during weekdays, the close to 7000 on Sunday, the maximum is close to 13000 on Tuesdays, hence the correct statements are given as follows:

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).Births occurred with the lowest frequency on Sundays.The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

From the bar graph, the biggest ratio is of 13/7 < 2, hence week day births are not quite twice as common.

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a newspaper company is selecting four houses to receive a free newspaper on your block. there are 10 houses on your block that are numbered 1-10. what is the probability that the four houses selected for a free newspaper will all be even numbered houses?

Answers

The probability that the four houses selected for a free newspaper will all be even numbered houses is: 1/42.

What is probability?

Probability refers to the possibility of the occurrence of an event.

P(E) = probability of occurrence of an event E = Number of favorable outcomes, divided by total number of outcomes

Now, according to question,

There are 10 houses numbered 1-10. Thus the number of even numbered houses = 5 (2, 4, 6, 8, 10)

The probability that the first selected house for free newspapers is even numbered = 5/10 = 1/2

The probability that the second selected house for free newspapers is even numbered = 4/9

The probability that the third selected house for free newspapers is even numbered = 3/8

The probability that the fourth selected house for free newspapers is even numbered = 2/7

The final probability that the four houses selected for a free newspaper will all be even numbered houses is = 1/2(4/9)(3/8)(2/7) = 1/42

Hence, The probability that the four houses selected for a free newspaper will all be even numbered houses is: 1/42.

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(4x-1)(3x^2+3x-5) (4x−1)(3x 2 +3x−5)

Answers

Hi.

Answer:

[tex]\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

Step-by-step explanation:

[tex](aa=a^2) \left(4x-1\right)\left(4x-1\right)=\left(4x-1\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)\\\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)=\left(3x^2+3x-5\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

13. Find the coordinate for the point that is 1/6 the
distance from A to B.
A
-5
B
37

Answers

the answer is -5 or maybe 37

(4x² – 11x³ – 13x² +96x
+52) ÷ (4x + 9)

Answers

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

Polynomial long division:

Long-division polynomials are algorithms that divide polynomials by polynomials of the same or lower degree. As with the long division method of numbers, the divisor, quotient, dividend, and remainder are all part of the long division of polynomials.

what are the four steps in polynomial long division?

When a divisor has more than one term or is a polynomial with more than one term, the four stages used to divide whole numbers (divide, multiply, subtract, bring down the next term) comprise the repeated operation for polynomial long division.

According to the given data:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9) given.

Simplifying the equation:

(4x² – 11x³ – 13x² +96x+52)

(-11x³ - 9x² + 96x + 52)

Applying Polynomial long division:

(-11x³ - 9x² + 96x + 52)÷ (4x + 9)

                                           [tex]$-\frac{11}{4} x^2+\frac{63}{16} x+\frac{969}{64}$[/tex]

                              (4x + 9)√(-11x³     - 9x²        + 96x       + 52)

                                                -11x³ -(99/4)x²

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

                                                            (63/4)x² + 96x

                                                             (63/4)x²  + (567/16)x

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

                                                                              (969/16)x     + 52

                                                                               (969/16)x    - 8721/64

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

                                                                                                      - 5393/64

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control conditions can be attributed to age or personality differences in research participants?.

Answers

The technique that most clearly minimizes the likelihood that any outcome differences between the experimental and control groups is e. random assignment.

What is random assignment?

A methodology used to divide research participants into two groups—the treatment group, also known as the experimental group, and the control group—by randomization is known as random assignment, also known as random placement.

Every research volunteer has an equal chance of being assigned to any of the groups thanks to this randomization mechanism.

In studies, random assignment is a method used to divide participants into different research groups with similar characteristics so that the groups are equal at the start of the investigation.

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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control groups can be attributed to age or personality differences in research participants?

a. the double-blind procedure

b. statistical measurement

c. replication

d. operational definitions

e. random assignment

A straight line segment is drawn from A to C as shown at the right.
If AB=2x-4, BC= 4x + 12, and AC = 32, find .x.

Answers

Answer:

Step-by-step explanation:

just need points dont mind me

Slope please help algreab 1

Answers

Answer:

1/2x-2

Step-by-step explanation:

sise over run and then graph on desmos

Answer:

y = [tex]\frac{1}{2}[/tex] x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )

m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 1 )

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

What is the equation of the line that is perpendicular to
the given line and has an x-intercept of 6?
O y = -x + 8
O y = -x + 6
Oy=x-8
Oy=x-6

Answers

The answer is Oy=X-6 hope this helps

The equation of the line that is perpendicular to the given line y = x + 6 and has an x-intercept of 6 is B. y = -x + 6.

A line is plotted on the cartesian plane and is straight, thus named a straight line. A straight line is a two-dimensional geometrical figure.

Given the line:

y = x + 6

Compare the equation with

y = mx + c,

m = 1 and c= 6.

As it is given that the new line is perpendicular to the old one, then

the slope of the new line, m' [tex]= -\frac{1}{m} = -\frac{1}{1} = -1[/tex].

As the x-intercept is 6, c' = 6.

So, the equation of the new line is

y = m'x + c'

y = -x + 6

Therefore, the new line is y = -x + 6.

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The complete question is as follows:

What is the equation of the line that is perpendicular to

the given line and has an x-intercept of 6?

y = x + 6

A. y = -x + 8

B. y = -x + 6

C. y = x - 8

D. y = x - 6.

Given 33.8 × 2.5, find the product.

Answers

Answer:

84.5

Step-by-step explanation:Multiply 338 ✖ 25The answer is 2450.Jump the decimal two times from one's placeThe answer will be 84.5

On a number line, point A is located at 9 and point B is located at -5. What is AB?

Answers

Answer:

14

Step-by-step explanation:

Im pretty sure its 14

so point A is at -5 which is here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A

and point B is located here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A                                                                                    B

the distance would be:

-5+5= 0      ( the bold numbers are the ones you add together)

then

0+9=9

so 5+9= 14

Can someone please help me.

Answers

Yeah I can help you what do you need?

Answer:

you what do u need help with?

A teacher can spend as much as $140.00 to take students to a movie. A movie
theater charges a $15.00 group fee and $7.25 per ticket.
о Set uр аn Едиation:
How many students can
teacher
the
take to the movie?

Answers

Answer:

17 students

Step-by-step explanation:

140-15=125

125/7.25=17.2....

rounded to 17

Solve the inequality for x and identify the graph for its solution |x+3|>2

Answers

Answer:

Inequality Form:

x<−5 or x>−1

Interval Notation:

(−∞,−5)∪(−1,∞)

Step-by-step explanation:

For every left handed person, rhere are about 4 right handed people. If there are 30 students in a class, predoct the number of students who are right handed

Answers

Answer:

4 right handlers for everytime 5 people

solution:

4/5. = x/30

x = (4)(30)/5

x= 24

there are 24 right handed people

Step-by-step explanation:

I am left handed so I know this is true :)

Does the figure above appear to have rotational symmetry?if yes, select the angles of rotation less than 360°

Answers

Yes it does have rotational symmetry

find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−8, 0, 0) and q(−2, 0, 0).

Answers

The plane is defined by the equation, x = -3.

What do we mean by equations?A mathematical statement made up of 2 expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value for the variable x as x = 7 after solving this equation.

To find the equation:

The distance from p(-9, 0, 0) seems to be:

d = sqrt((x+9)² + y² + z²)

The separation from q(3,0,0) would be:

d = sqrt((x-3)² + y² + z²)

Let's make them the same size as follows;

sqrt((x+9)² + y² + z² ) = sqrt((x-3)² + y² + z² )

Square both sides before simplifying:

(x+9)² + y² + z² = (x-3)² + y² + z² x² + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y² + z² 18x + 81 = - 6x + 9 24x + 81 = 9 24x = -72 x = -3

Therefore, the plane is defined by the equation, x = -3.

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The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)

What is the image of the point
(
0
,
4
)
(0,4) after a rotation of
18
0

180

counterclockwise about the origin?

Answers

The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4).

According to the statement

We have to find that the coordinates after the rotation.

So, For this purpose, we know that the

Rotation means a degree is being moved in clockwise or counterclockwise direction with some angle.

From the given information:

The point is a (0,4)

The rotation is drained 90, 180, 270 degrees.

Given point is:(0,4)

When some extent (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.

So for the given point the coordinates will become (-0,-4)

Then,The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

So, The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

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3. You have $2.75. You want to buy trading cards that cost $0.25 each.
How many can you buy?

Answers

Question:

You have $2.75. You want to buy trading cards that cost $0.25 each.

How many can you buy?

Answer:

11 trading cards

Step-by-step explanation:

If you do 2.75 ÷ 0.25 you would get 11 and to check the answer you could simply multiply you would do 0.25 x 11 to get the answer 2.75.

I hope it helps you!

~XxBells is a cute girlxX~

#Learn with Brainly

Reflect ABC over the y-axis and then translate by
(2, -3).

Answers

Answer:

just flip it

Step-by-step explanation:

PLEASE HELP ASAP!! WILL MARK BEAINLIEST

Answers

Answer:

1. x = 2/3y + 8/3

2. x=−y+1

Step-by-step explanation:

Solve for x

3x−2y=8

Add 2y to both sides.

3x−2y+2y = 8+2y

3x=2y+8

Divide both sides by 3.

3x/3 = 2y+8/3

x = 2/3y + 8/3

Answer:

x = 2/3y + 8/3

#2

solve for x.

x+y=1

Add -y to both sides.

x+y+−y=1+−y

x=−y+1

Answer:

x=−y+1

solve for y.

x+y=1

Add -x to both sides.

x+y+−x=1+−x

y=−x+1

Answer:

y=−x+1

Sorry if this is too much

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The bar graph shows the estimated number ofK3200 FemalesGroup 4MalesGroup 324072210calories per day needed to maintain energy balance Calories Needed to Maintain Energy Balance for Sedentary Lifestylesfor various gender and age groups for sedentarylifestyles. (Sedentary means a lifestyle that includesonly the light physical activity associated with typicalday-to-day life.) The mathematical modelF=-81x +655x+617 describes the number ofcalories needed per day, F, by females in age groupx with sedentary lifestyles. According to the model,how many calories per day are needed by femalesbetween the ages of 9 and 13, inclusive, with thislifestyle? Does this underestimate or overestimatethe number shown by the graph? 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Predict the daily sales of the toy if the price is set at $8.50.toys 100 POINTS I NEED HELP PLOTTINGLength of String (m) Period (s) Trial 1. 030 1.040.50 1.290.70 1.56Period (s) Trial 2. Period (s) Trial 31.05 1.061.29 1.301.56 1.57Average Period (s) Square of Average Period (s2)1.05 1.101.29 1.661.56 2.43Mass of bob (g) 100Procedure Use the 30 cm, 50 cm, and 70 cm pendulum simulations to collect the data for Part 2. Use the same mass for each pendulum. Start with the 30 cm pendulum simulation.Take a pendulum from the toolbar and position it so that the circle at the top of the pendulum is inside of the dotted circle in the simulation. Reset the timer.Pull the pendulum back a small angle and release it. Record the time for the period in the data table. Reset the timer and repeat for two more trials. Move to the 50 cm pendulum simulation and repeat steps 2-5. Then, move to the 70 cm pendulum simulation and repeat steps 2-5.Plot a graph of the average period (s) vs. length (m). Draw the best fit line.Square the average period values and add those values to your data table.Plot a graph of the square of the average period (s2) vs. length (m). Draw the best straight line that you can fit through the data points. Finding an angle measure given extended angles when giving a speech, andres experiences high levels of communication apprehension. what would you suggest that he do to help reduce his apprehension? select one: practice his speech several times before giving it in class get a good nights sleep and eat breakfast before giving his speech take several deep breaths before beginning his speech all of the above 2 10 pointsSutton's cellphone plan calculates her bill by using the function, b (z) = 0.05x+75, where x is the number of minutes she uses the phone. What is her bill if she uses her phone for 10000 minutes? which of these is an example of an employer using benefits to encourage employees to stay with the company? brainly while assessing a client with schizophrenia who is receiving chlorpromazine, the nurse finds lead pipe rigidity, sudden high fever, and sweating. which medications would the nurse anticipate being used to treat these adverse effects? select all that apply. one, some, or all responses may be correct. quizlet The experiment that showed that the amount of a,t.g and c is the same from species to species is? Credits increase revenues, whereas debits increase?. assets and liabilities. liabilities and stockholders' equity. common stock and retained earnings. expenses and dividends. What is the ultimate basis for a social institution's continued existence over time?an ongoing narrative that links the past, thepresent, and the futurea community of people, which in the case ofa college includes faculty, staff, andstudentsa name, plus other symbols associated withthe brand; for a college, that includes a logo,school colors, and a mascota physical facility, typically consisting ofland, buildings, and other infrastructure what two hemispheres are locatedat -60 South and 120 East a supply chain in which value is added at various points in the distribution process is called a .