In this picture B and F are midpoints CE=90 BF=

In This Picture B And F Are Midpoints CE=90 BF=

Answers

Answer 1

By definition, BF = 1/2 * CE;


So, BF = 1/2 * 90 = 45.

BF = 45


(Midsegment Length Theorem)

Answer 2

Answer:

BF=45

Step-by-step explanation:

Here the given point B and point [tex]F[/tex] are the midpoint of the sides AC and AE respectively in triangle ACE .

According to converse of Thales theorem -if a line divides any two sides of a triangle in equal parts then that line will be parallel to the third side of the triangle.

Also ,

In the above said condition, that line will be half of the third side

On applying this concept in the given triangle ACE

[tex]BF= \frac{1}{2} *CE\\BF=\frac{1}{2} *90\\BF=45[/tex]

Hence BF=45


Related Questions

can you please help????????

Answers

Answer:

9x - 8

Step-by-step explanation:

the perimeter is the sum of the sides, hence

perimeter = 5x - 2 + 3x + 4 + x - 10 ( collect like terms )

                = 9x - 8 ← polynomial of degree 1


Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

Answers

Answer:

The first attached graph showing the plotted point (0, 3) represents Ramon's initial step.

Step-by-step explanation:

We are given that Ramon is graphing the function f(x) = 3(4)x and that he begins by plotting the initial value.

So if we will input 1 for the value of x and then evaluate the plot point.

Therefore, we will get the point (0, 3) as the answer for this initial step.

Also, the first attached graph here showing the plotted point (0, 3) represents Ramon's initial step.

Answer:

The graph that represent the initial step in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=3(4^{x})[/tex]

we know that

The initial value is the value of the function when the value of x is equal to zero

so

For [tex]x=0[/tex]

substitute in the function

[tex]f(x)=3(4^{0})=3(1)=3[/tex]

therefore

The initial value is the point [tex](0,3)[/tex]  

The graph that represent the initial value in the attached figure

Write down any rational number between 4 and 6

Answers

One rational number between 4 and 6 would be 5.


Solve the following system of equations . Plot the solution to the system on the provided graph

Answers

Answer:

(6, -3)

Step-by-step explanation:

I will solve this system using elimination.

[tex][tex]\left \{ {{-x+2y=-12} \atop {2x+3y=3}} \right.[/tex][/tex]

I will multiply [tex]-x+2y=-12[/tex] by 2 so that -x becomes -2x.

2(-x + 2y = -12)

Distribute.

-2x + 4y = -24

Now subtract this from the other equation.

2x + 3y = 3

-2x + 4y = -24

        7y  =  -21

Divide both sides by 7.

y = -3

Now that we have the value of y, plug it into the original equation.

-x + 2(-3) = -12

Simplify.

-x - 6 = -12

Add 6 to both sides.

-x = -6

Divide both sides by -1.

x = 6

(6, -3)

Stephen ran a race that was 5 miles long. He ran 1/4 of a mile in 1/8 of an hour. He ran the same pace the entire race. How long, in hours, did it take Stephen to run the entire race?

Answers

1/4×X=5
X=20
1/8×20=Y
Y=2.5
(answer)= Y
Y=2 hours and 30 minutes
Final answer:

It took Stephen 2.5 hours to run the entire 5-mile race.

Explanation:

To find out how long it took Stephen to run the entire race, we need to know how many 1/4 mile segments are present in a 5 mile race. We can do this by dividing the total distance by the distance ran in each segment. Since 1/4 mile is ran in 1/8 hour, we can divide 5 miles by 1/4 mile to find the total number of segments, which is 20. Multiplying 20 by 1/8 hour, we get the total time it took Stephen to run the race, which is 2.5 hours.

Learn more about Calculating time to run a race here:

https://brainly.com/question/20232401

#SPJ3

I NEED HELP!
I'll give brainlyest to the person who's right

Answers

Answer:

distributive

Step-by-step explanation:

the number out side the parenthesis, 3 in this case, is being distributed to the numbers inside the parenthesis

Answer:

I would say distributive property

Number 17 is B

Step-by-step explanation:

because your are multiplying 3 times 4 to get 12 and you are multiplying 3 times 3 to get 9


You add -3 to the first number to get the same exact number as the one to the right of -5

Solve for variable 2(3x+1)=11

Answers

Divide both sides by 2

3x + 1 = 11/2

Subtract 1 from both sides

3x = 11/2 - 1

Simplify 11/2 - 1 to 9/2

3x = 9/2

Divide both sides by 3

x = 9/2/3

Simplify 9/2/3 to 9/2 × 3

x = 9/2 × 3

Simplify 2 × 3 to 6

x = 9/6

Simplify 9/6 to 3/2

x = 3/2

simplify h(w)=6*2^(w-1)

Answer:
㏒₂(hw/6)=w-1

Answers

Answer: log₂[tex](\frac{h(n)}{6})[/tex] + 1 = n

Step-by-step explanation:

h(n) = 6 * 2ⁿ⁻¹

÷6     ÷6          

[tex]\frac{h(n)}{6}[/tex] = 2ⁿ⁻¹

log₂[tex](\frac{h(n)}{6})[/tex] =  log₂(2ⁿ⁻¹)  →→log₂2 cancels out

log₂[tex](\frac{h(n)}{6})[/tex] = n - 1

log₂[tex](\frac{h(n)}{6})+1[/tex] = n



[tex]2(8x - 7)[/tex]
how to do this

Answers

This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.

How-to-do:

2(8x-7)

2(8x) - 2(7)

16x-14


if you mean to simplify :

2(8x−7)

=(2)(8x+−7)

=(2)(8x)+(2)(−7)

=16x−14



There are 2 connected questions:

Two students can eat 4 doughnuts in 6 minutes. At this rate how many doughnuts will be eaten by 8 students in 9 minutes?

8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?


PLEASE EXPLAIN CLEARLY!! I'M CONFUSED

Answers

Answer:

6 monkeys

Step-by-step explanation:

8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?

that means each monkey takes 1 min for one bananer so i think 6 monkeys

24 Doughnut will be eaten by 8 students in 9 minutes. 8 monkeys will eat 6 bananas in 6 mins.

Given,

Two students can eat 4 doughnuts in 6 minutes.

On taking time constant (say 6 min), 2 student eat 4 doughnuts,

So 1 student eat 2 doughnuts each in 6 minutes.

So, in 1 minute doughnut eaten by 1 student will be  [tex]\frac{2}{6}[/tex].

So, in 9 minute doughnut eaten by 1 student will be [tex](\frac{2}{6} \times 9=3)[/tex]

Finally, in 9 minute doughnut eaten by 8 student  will be [tex](3\times 8=24)[/tex].

Hence 24 Doughnut will be eaten by 8 students in 9 minutes.

Similarly,

Since 8 monkeys eat 8 bananas in 8 mins.

On taking time constant, 8 monkeys eat 8 bananas.

So, 1 monkey eat 1 banana in 8 min.

So, in 1 min 1 monkey will eat [tex](\frac{1}{8} )[/tex] banana.

So, 1 banana will be eaten by 8 monkeys in 1 min.

So, 6 banana will be eaten by [tex](8\times 6=48)[/tex] monkeys in 1 min.

Finally, the number of monkeys required to  eat 6 bananas in 6 min will be,

[tex]\dfrac{48}{6} =8[/tex].

Therefore 8 monkeys will eat 6 bananas in 6 mins.

For more details follow the link:

https://brainly.com/question/12116123

Solve: 2x^2 = 98 somebody please help me

Answers

Answer:

x= 7

Step-by-step explanation:

2x^2=98

\frac{2x^2}{2}=\frac{98}{2}

x^2=49

7^2=49

Final answer:

The solutions to the equation 2x^2 = 98 are x = 7 and x = -7, obtained by isolating the x^2 term and taking the square root of both sides.

Explanation:

To solve the equation 2x^2 = 98, we need to convert it into a standard quadratic equation by bringing the terms to one side of the equals sign, setting it equal to zero:

2x^2 - 98 = 0

Now, we will proceed to solve the quadratic equation. In this simple case, we can find the solutions by factoring or by taking square roots. First, we move the constant to the other side:

2x^2 = 98

Divide both sides by 2 to isolate the x^2 term:

x^2 = 49

To find x, we take the square root of both sides. Do not forget to consider both the positive and negative roots:

x = ±√49

x = ± 7

So the solutions to the equation 2x^2 = 98 are x = 7 and x = -7.

Yesterday, Leila had d baseball cards. Today, she gave 10 away. Using , write an expression for the number of cards Leila has left.

Answers

Answer:

d - 10

Step-by-step explanation:

Because the amount of Leila’s baseball cards was d, subtract 10 from it to get Leila’s amount of baseball cards now.

d - 10

Answer:

d-10

Step-by-step explanation:

I don't know the word after "Using".

"Gave away" means having less, which means that you should subtract.

d-10

the builder measures the perimeter of the foundation to be 425 ft. he must order steel beams to install around the perimeter of the foundation. steel must be ordered in meters. how many meters of steel should the builder order ?

Answers

Answer:

The builder should order 129.54 meters of steal.

Step-by-step explanation:

I just went on google and typed in "ft. to meters converter".

Final answer:

The builder should order approximately 129.548 meters of steel.

Explanation:

To convert from feet to meters, we need to know the conversion factor. 1 foot is approximately equal to 0.3048 meters. So, we can use this conversion factor to convert the perimeter from feet to meters.

Perimeter in meters = Perimeter in feet * Conversion factor

Perimeter in meters = 425 ft * 0.3048 m/ft

Perimeter in meters = 129.548 m

The builder should order approximately 129.548 meters of steel.

Learn more about converting units of measurement here:

https://brainly.com/question/20726785

#SPJ2

Determine which function(s) is NOT a linear function. Select all that apply.

Answers

Answer:

x=3

Step-by-step explanation:

By vertical line test, x=3 fails because more than 2 points have the same x value. Functions must pass the vertical line test.

Answer:54x6432y=7644335

Step-by-step explanation:

tab;e times table

Estimate with Percents 34% of 99 show ur work

Answers

Answer:

Alright well simplify the expression

33.66 Why???

Well write the problem as a mathematical expression

34% 99

Convert 30% to decimal

0.34 and 99

Multiply 0.34 by 99 which gives you

33.66 Hope this helps have a nice day :)


Step-by-step explanation:


the total entry price of the top of the Eiffel Tower during the low season of 95 Euros for 4 students and five teachers the total entry price is 173 euros and for 6 students and 10 teachers. find total entry price of the Eiffel Tower for a group of three students and 4 teachers

Answers

Answer:

74.30

Step-by-step explanation:

Let s = entry price for a student

Let t = entry price for a teacher

4s +5t = 95

6s+10t = 173

I will use elimination to solve this problem.

Multiply the first equation by -2

-2(4s +5t) = -2*95

Distribute

-8s - 10t = -190

Add this equation to the second equation to eliminate t

-8s - 10t = -190

6s+10t = 173

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

-2s = -17

Divide by -2

-2s/-2 = -17/-2

s = 8.50

Now we need to find t

4s +5t = 95

Substitute s=8.50

4(8.50) +5(t) = 95

34 +5t = 95

Subtract 34 from each side

34-34 +5t = 95-34

5t = 61

Divide by 5

5t/5 = 61/5

t = 12.20

We want to find the cost for 3 students and 4 teachers

3s+4t

3(8.50) + 4(12.20)

25.50 + 48.80

74.30


Need an answer thanks

Answers

Find X:
38=(3x+4)+(5x-6)
combine like terms
38=8x-2
add 2 to both sides
40=8x
divide both sides by 8
5=x
Find AB:
16=3x+4
subtract 4 from both sides
12=3x
divide by 3
4=x
Find BC:
16=5x-6
add 6 to both sides
22=5x
divide both sides by 5

PLEASE BE FAST !!!!!!

John bought 6 dumplings for $3.00. Let x represent the number of dumplings purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.

15 POINTS

Answers

Answer:

I think this is right but I may be wrong

Step-by-step explanation:


Answer:

Easy! Y=0.5x

Step-by-step explanation:

First, we have to find unit rate.

6/6 = 1

3.00 / 6 = 0.5

Y=0.5x

Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier?

Answers

Answer:

The outlier slightly affected the median.

Step-by-step explanation:

Answer:

simple terms its A

Step-by-step explanation:

What is the total amount of sap the trees produced that day?

Answers

The answer is 5gallons

Answer:

It's 5 gallons! :3

Step-by-step explanation:

whats the answer to the problem ?

Answers

Answer:

could you give what the problem is



Step-by-step explanation:


A cheese maker changes the temperature of her milk at a rate of negative -2 F Per minute what is the change in the temperature of the milk after 25 minutes

Answers

Answer:

-0.08 F

Step-by-step explanation:


You start with $200 in a checking account each month you withdraw $20. Write an equation to model the amount of money in the checking account

Answers

y=the amount of money in the checking account

x=number of months

y=200-20x

5 ( 9 + d ) when d = 3

Answers

Answer:

60

Step-by-step explanation:

5 ( 9 + d )

Let d=3 and substitute it in

5(9+3)

According to PEMDAS, we do what is in the parentheses first

5(12)

Now we multiply.

60

Answer:

60


Step-by-step explanation:


5 ( 9 + d )


Let d=3 and substitute it in


5(9+3)


According to PEMDAS, we do what is in the parentheses first


5(12)


Now we multiply.


60

Beginning at 8:30 A.M., tours of the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?

Answers

the leave at the same time every hour

Each bottle of apple juice costs $2.40 and each bottle of orange juice costs $2.20. If James has $50.80 and wants to buy 10 bottles of orange juice, how many bottles of apple juice can he buy using his remaining amount?

Answers

Answer:

12

Step-by-step explanation:

Orange juice: $2.20 per bottle.

10 bottles of orange juice cost 10 * $2.20 = $22.00.

We subtract the cost of the 10 bottles of orange juice from the amount of money he has to find out the amount he will have left for bottles of apple juice.

$50.80 - $22.00 = $28.80

After buying the 10 bottles of orange juice, he has $28.80 left.

We divide the money he has left for apple juice bottles by the price of one apple juice bottle to find out the number of apple juice bottles he can buy.

$28.80/$2.40 = 12

He can buy 12 bottles of apple juice.

The fountain in the middle of a park is circular, with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around the fountain. What is the approximate area of the walkway?
A. 179 sq. ft.
B. 159 sq. ft.
C. 28 sq. ft.
D. 16 sq. ft

Answers

Answer:

A. 179 sq. ft.

Step-by-step explanation:

Area of walkway + fountain: (3.14)11^2=379.94 ft^2

Area of fountain: (3.14)8^2=200.96 ft^2

Area of walkway : 379.94-200.96=178.98 ft^2 which is also rounded to 179ft^2

                               

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk =  380 - 201 =  179

Answer A and B remember to round your ans to the nearest hundredth!

Answers

Answer:

$4.11/hour

3.33 pages/minute

Step-by-step explanation:

37 / 9

= 4.11


10 / 3

= 3.33

A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.

1/3

1

2√2/3

2√2

Answers

Answer:

[tex]cos\theta=1/3[/tex]

Step-by-step explanation:

The point at the terminal side of an acute angle is given by [tex](1, 2\sqrt{2} )[/tex].

That is,

[tex]x = 1[/tex] and [tex]y= 2\sqrt{2}[/tex] .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

[tex]r = \sqrt{x^{2} + y^{2}}[/tex]

Substituting the values of x and y into r,

[tex]r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}[/tex]

[tex]r = \sqrt{1 + 8}[/tex]

[tex]r = \sqrt{9}[/tex]

Thus, [tex]r=3[/tex]

Also, [tex]cos\theta[/tex] is given by:

[tex]cos\theta = x/r\\[/tex]

Substituting values of x and r,

[tex]cos\theta = 1/3\\[/tex]

What is the value of cd if c= 9 and d = 8

Answers

Answer:

72

Step-by-step explanation:

c=9

d=8

cd = c*d

substitute in what they give you the variables equal to

cd=9*8=72

Answer:

72

Step-by-step explanation:


Other Questions
Why did Precident Franklin D. Roosevelt establish social security? what is one way to test whether an unknown solution is acidic or basic?A. test the solutions electrical conductivity B.check whether the solution has a slippery feelC. determine whether the solution has complete or partial dissolution D. observe whether the solution is clear or cloudy In a 1-dimensional coordinate system, which of these is an example of an object's position?A.westB.southC.(4, -3)D.3 blocks east What happens after mRNA is transcribed? mRNA becomes part of the nucleolus. mRNA enters the cytoplasm and moves to a ribosome. mRNA leaves the cytoplasm through the cell membrane. mRNA remains in the nucleus and creates a protein Identify the italicized part of a sentence as cause or effect. David left the cookies in the oven too long and they became charcoal. Where could page numbers appear in a properly formatted business document? Ohn has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants to pay back 1.1 times the amount he paid the month before. Explain to John how to represent his first 20 payments in sequence notation. Then explain how to find the sum of his first 20 payments, using complete sentences. who did the CSA choose as their first president? PLEASE HURRY!!!! What were the effects of the Space Race? Check all that apply.1.the development of the steam engine2.new products for consumers to use3.new technology for military purposes4.advancements in health and medicine5.rapid improvements in computer technology6.the creation of the network known as the Internet Which of the following states shares a border with Canada? Arizona South Dakota Idaho Ohio Many Americans travel to Costa Rica during the winter months, the peak season because of the warmer temperatures found at many of Costa Ricas tropical beaches and lush rain forests. Which of these sentences corrects the punctuation in the sentence? A. Many Americans travel to Costa Rica during the winter months, the peak season,because of the warmer temperatures found at many of Costa Ricas tropicalbeaches and lush rain forests. B. Many Americans travel to Costa Rica during the winter months, the peak seasonbecause of the warmer temperatures found at many of Costa Ricas tropicalbeaches and lush rain forests. C. Many Americans travel to Costa Rica, during the winter months the peak season,because of the warmer temperatures found at many of Costa Ricas tropicalbeaches and lush rain forests. what is the use of force to move an object over distancea. powerb. workc. distanced. none of the above Please Check My answers 1. which of the following citations from the watson go to birmingham----1963 illustrates how the setting affects byron.A. The way Byron kept his head down and smiling and saying " Yes ma'am" this and " No ma'am" that, it looked like he had surrendered before the first punch was thrown*****B. Byron rubbed the old gray nasty-looking dog's head too. " A hundred Bucks? Man!!!!"C. "That bird's as old as dirt. She's so old I bet she had to step over dinosaur turds."D. Byron just grunted, then said " Man, you gotta quit drinking so much water, you sweated up the whole bed last night..."2. Which of the following statements accurately illustrates how Momma is affected by her return to Alabama?A. She does not want to visit with old friends B. She is pleased that Grandma Sands is not alone*****C. She does not notice how much the city has changed D. She talks with a more distinctly Southern Accent. 3. Read the Following Sentence from Chapter 12I started to think that making Byron spend all the summer in this heat was more punishment than even a juvenile delinquent like him deserved. What can the read most likely conclude about Kenny's Feelings?A. He is glad that Byron will be staying with Grandma SandsB. He is questioning the fairness of Byron's punishment******C. He is surprised at how hot Birmingham is compared to Flint.D. He is reluctant to admit that Byron isn't as bad as he thought Two angles form a linear pair. The measure of one angle is 2/3 the measure of the other angle. Find the measure of each angle Which Hispanic leader and civil rights advocate founded the National Farm Workers Association to promote right through nonviolent means? Que actividad estancia hacienda las personas the sum of 4 consecutive even integers is 460. Write an equation that models this situation and find the value of the 4 integers? Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.Third-degree, with zeros of 4, 3, and 1, and a y-intercept of 11. A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .Select from the drop-down menus to correctly complete each statement.The cosine of the angle is . Negative or Positive The sine of the angle is . Negative or Positive 50 POINTS*****Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding the length of the directed line segment?The ratio given is part to whole, but fractions compare part to part. The ratio given is part to part. The total number of parts in the whole is 3 1 = 2.The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.The ratio given is part to whole, but the associated fraction is . Steam Workshop Downloader