Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

(For Diagram please find in attachment)

Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Since DE∥BC

∴ By Basic Proportionality Theorem,

AD/DB  = AE/EC

​ Since it is Given, AD=DB

∴ AE/EC  =1

AE=EC  (Proved)

Using B.P.T., Prove That A Line Drawn Through The Mid-point Of One Side Of A Triangle Parallel To Another

Related Questions

in triangel abc line segmemt cd is an altitude, such that ad=bc. find ac if ab=3cm and cd =sqrt2

Answers

Answer:

√7

Step-by-step explanation:

Let :

AC = x

BD = y ; AD = 3 - y

Since, AD = BC

Then BC = 3 - y

Taking △BDC a d applying Pythagoras

Hypotenus² = opposite² + adjacent²

BC² = CD² + BD²

(3 - y)² = (√3)² + y²

9 - 6y + y² = 3 + y²

-6y + y² - y² = 3 - 9

-6y = - 6

y = 1

AD = 3 - y ; AD = 3 - 1 = 2

Taking △ADC

AC² = CD² + AD²

AC² = (√3)² + 2²

AC² = 3 + 4

AC² = 7

AC = √7

Can the sides of a triangle have lengths of 42, 45, and 13? If so, what kind of triangle is it?

Answers

Answer:

obtuse

Step-by-step explanation:

45^2 = 2025

42^2 = 1764

13^2 = 169

169+1764=1933

2025 > 1933

therefore it is an obtuse triangle

8. What is the solution to 4(1/2x+7)=12?

Answers

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

PLEASE HELP ME ANSWER THESE !!!

1 There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?


2 A candy factory made 54 boxes of chocolates. Each box weighs 2 pounds. They packed the boxes in 6 cases with the same number of boxes in each case. How many pounds of chocolates were there in each case?


3 Max bought tools costing $75. He made a $30 down payment and plans to pay off the rest of the money in 5 monthly installments. How much will Max’s monthly payments be?


4 Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt, Matt, and Richie will divide the remaining coins evenly among themselves. How many coins will each boy receive?


5 Mr. and Mrs. Pierotti are remodeling their kitchen. They need 9 square yards of covering for the floor. Jackson Interiors quoted them a price of $81 for 9 square yards of linoleum. Carpet Master told them that carpeting would cost $6 per square yard. Which is cheaper—the linoleum or the carpeting

Answers

Answer:

1)9 2)18 3)9. 4)4. 5)carpeting

Step-by-step explanation:

1) divide 63 by 7 = 9

2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18

3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9

4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4

5) multiply 6 * 9 which is $54 which is cheaper than the $81

Find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

(3x-8)/1=4x/2. 3x-8=2x, x=8

If LM = x + 3, MN = 2x and LN = 24, what does x equal

Answers

Answer:

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

Step-by-step explanation:

[tex]\displaystyle 24 = [3 + x] + 2x → 24 = 3 + 3x → \frac{21}{3} = \frac{3x}{3} \\ \\ 7 = x[/tex]

I am joyous to assist you at any time.

When a number is decreased by 2.6%, the result is 83. What is the original number to the nearest tenth?

Answers

Answer:

85.2

Step-by-step explanation:

we can represent this in an equation where the initial value is going to be and to this we will subtract 2.6% of it

x - x * 2.6/100 = 83

x - 0.026x = 83

0.974x = 83

x = 83 / 0.974

x = 85.2156

we round to the nearest tenth and finally, we get that the result is 85.2

Sixteen blocks are needed to build a four-step double staircase like
the one on the right. How many blocks will be needed to build a
double staircase of similar shape with 50 steps?
Snacks:

Answers

16 blocks = 4 steps
x blocks = 50 steps
(16 blocks x 50 steps)/4 steps
= 200 blocks

solve the triangle. Round decimal places to the nearest place

Answers

Answer: The remaining angle must be 90, side BC = 17, side AC = 39

Explanation:

To find the remaining angle of this triangle, you may do 180 - (24+66) = 90, since the sum of angles in any triangle must equal to 180.

To find the remaining sides, you may use the sine rule to find BC:

sin(Angle)/opposing side = sin(Angle)/opposing side

1) sin90/43 = sin24/x
2) 1/43 = 0.4067/x
3) x = 17.48
4) x ≈ 17

You may also use the sine rule to find side AC:

1) sin90/43 = sin66/x
2) 1/43 = 0.9135/x
3) x = 39.28
4) x ≈ 39

Hope this helps, brainliest would be appreciated :)

Identify a transformation of the function f(x) = (x by observing the equation
of the function g(x) = VX- 19.

Answers

Answer:

1st option

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = [tex]\sqrt{x}[/tex] - 19

The base graph f(x) has been shifted down 19 units

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

$276.61

$326.25

$358.00

$368.91

Answers

Answer:

A

Step-by-step explanation:

Total money earned=40*8.95=358

Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

Geometry, please answer my question ASAP

Answers

Answer:

98 degrees

Step-by-step explanation:

The angles of a quadrilateral add up to 360 degrees, therefore:

(25x+1)+(25x-2)+(20x-1)+82=360

70x +80=360

70x=280

x=4

the angle at C:

25*4-2 = 98 degrees

Help fast pleaseeeeeeee

Answers

Step-by-step explanation:

-2. = [tex] \frac{1}{49} [/tex]-1 = [tex] \frac{1}{7} [/tex]0 = 11. = 72. = 49

Write 0.0406 in scientific notation.

Answers

Answer:

4.06×10^-2

hope that helps uh..☺

Answer:

Ans; 0.0406 = 4.06 ×10–²

What are the steps involved in multiplying/ dividing rational expressions??

Answers

Answer:

Multiplication:

Step 1: Factor both the numerator and the denominator.

Step 2: Write as one fraction.  Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.

Step 3: Simplify the rational expression.

Step 4: Multiply any remaining factors in the numerator and/or denominator.

Division:

Step 1: Completely factor both the numerators and denominators of all fractions.

Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.

Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.

Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.

Step 1: Factor both the numerator and the denominator. ...
Step 2: Write as one fraction. ...
Step 3: Simplify the rational expression. ...
Step 4: Multiply any remaining factors in the numerator and/or denominator. ...
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.

Hope this helps :))

Brian scored 120 on his test the first time he took the test. The second time he took the test,
he scored 150. By what percentage did Brian increase his score?
a. 20%
b. 25%
c. 80%
d. 125%

Answers

Answer:

b. 25%

Step-by-step explanation:

(new - old)/ old * 100%

150 - 120 = 30 ... 30/120 = .25 * 100% = 25%

Answer:

25% increase

Step-by-step explanation:

Take the new amount and subtract the original amount

150-120

30

Divide this by the original amount

30/120

1/4

.25

Multiply by 100%

25%

What is the most direct use of a compass in geometric constructions?

A.
to draw congruent angles

B.
to draw arcs of a given size

C.
to draw perpendicular lines

D.
to draw straight lines

Answers

Answer:

B

Step-by-step explanation:

to draw arcs of a given size

Answer:

B. to draw arcs of a given size.

Step-by-step explanation:

its correct on plato :)

(4m2-3). 12,13
What is the simplified form of

Answers

x

2
>
0
x
-
2
>
0
|

3
+
2

4
|
|
-
3
+
2
-
4
|
csc
2
(
x
)

cot
2
(
x
)
csc
2
(
x
)
-
cot
2
(
x
)

A sinusoidal graph has an amplitude of 9 and a midline of y = –2. Determine
the range of the graph.

Answers

Answer:

[tex]( - 11.7)[/tex]

Range 18

Step-by-step explanation:

Twice the amplitude.

I need help I need help

Answers

Answer:

[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]

Step-by-step explanation:

[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

A car travelled 252 km in 3 hours and 15 minutes. The average speed of the car was (to the
nearest whole number)
A. 77 km/h
B. 78 km/h
C.
80 km/h
D. 84 km/h

Answers

Answer:

76.92 km/h

=

77 km/h

Answer From Gauth Math

Write down at least five number pairs to solve the equation vw = 50

Answers

Answer:

1, 50

2, 25

5, 10

10, 5

25, 2

Answer:

Step-by-step explanation:

V  W  

1 x 50     = 50

1.5 x 33 1/3 = 50

2 x 25     = 50

2.5 x 20     = 50

3 x 16 2/3 = 50

3.5 x 14 2/7 = 50

4 x 12 1/2 = 50

4.5 x 11 1/9 = 50

5 x 10     = 50

5.5 x 9     = 50

6 x 8 1/3 = 50

6.5 x 7 2/3 = 50

7 x 7 1/7 = 50

7.5 x 6 2/3 = 50

8 x 6 1/4 = 50

8.5 x 5 8/9 = 50

9 x 5 5/9 = 50

9.5 x 5 1/4 = 50

10 x 5     = 50

10.5 x 4 3/4 = 50

11 x 4 5/9 = 50

11.5 x 4 1/3 = 50

12 x 4 1/6 = 50

12.5 x 4     = 50

13 x 3 6/7 = 50

13.5 x 3 5/7 = 50

14 x 3 4/7 = 50

Be Precise What is the difference between a terminating decimal and a repeating
decimal?

Answers

Answer:

Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer

Answers

Answer:

43,200 minutes in 1months or 30 days

There are 43200 minutes in one month.

What is multiplication?

The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, How many minutes are in a 30-day month,

We have, 60 minutes in 1 hour

And, 24 hours in 1 day,

Then, number of minutes in 1 day = 60 × 24 = 1440 minutes

Therefore, in 1 month = 1440 × 30 = 43200 minutes

Hence, there are 43200 minutes in one month.

Learn more about multiplication, click;

https://brainly.com/question/5992872

#SPJ2

Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?

Answers

Answer:

its easy as making a cake

Step-by-step explanation:

always remember that

volume of a rectangular prism = area of the base x depth

AND

volume = 72

depth. = 3

it means we have to multiply 72 with 3

so we get

72 x 3 = 216

it means that the volume of the swimming pool is 216.

hope it helps you

have a nice day dear

During the hours from 9:00 PM on Friday to 9:00 pm on Sunday, Kristin spent 1/3 of her time sleeping, 1/8 of her time raking leaves, 1/12 of her time reading a book, 1/16 of her time working on her science project, 1/24 of her time riding in the car, and 1/48 of her time watching television. How many hours in this time period remained for all other activities?

Answers

Answer:

16 hrs of Sleep

6 hrs of Raking Leaves

4 hrs reading

3 hrs science project

2 hrs riding car

1 hr watching tv

Step-by-step explanation:

Its division on all of them, 9:00 PM on Friday to 9:00 PM on Sunday, would be 2 days, there being 24 hrs on one day, and since its 2 days, its 48, then you divide 48 by the denominator, and there you should get your timed answer.

For example, for the 1/3, you'll divide the denominator (the bottom number, in this case 3) by 48, since that's the whole amount, and the 3 is the amount of time they spent out of that whole. The division is written 48 ÷ 3 = 16

Hope this helped a bit :)

Which graph represents an odd function?

Answers

Answer:

the second one (the one on the bottom)

Step-by-step explanation:

An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.

3 different problems.

solve b - 4 = 3.

solve -32 = 8w

solve n
— = -4
7

Answers

Answer:

see below

Step-by-step explanation:

b - 4 = 3

Add 4 to each side

b - 4+4 = 3+4

b = 7

-32 = 8w

Divide by 8

-32/8 = 8w/8

-4 = w

n/7 = -4

Multiply by 7 to each side

n/7 *7 = -4*7

n = -28

Answer:

1. b = 7

2. w = -4

3. n = -28

Step-by-step explanation:

1. b - 4 = 3

Tip: Whenever there’s a number being subtracted or added, it’s best to make that number a 0

Step 1. Add 4 to both sides

b - 4 = 3

b + 4 = +4

b = 7

—————————————
2. -32 = 8w

Step 1. Isolate the variable
(by dividing both sides by 8)

w = -32/8

w = -4

—————————————
3. n/7 = -4

Step 1. Multiply 7 x -4

n = -28

what are examples of like terms

Answers

Answer:

7x and 2x. 3x^2 and -7x^2.

Step-by-step explanation:

7x and 2x both have x. 3x^2 and -7x^2 both have x^2.

96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?

Answers

14 mini buses but there will be 1 seat open
Other Questions
Lee las oraciones.Conocis a alguien que no _[blank 1]_ enchiladas?Conozco a alguien que no _[blank 2]_ enchiladas.Qu opcin completa la oraciones correctamente?come, comecome, come , ,coma, comecoma, come , ,comis, comiscomis, comis , ,comis, comis What is | 34 | ?-------l l-------l l-------- helpppppppppppppppppppppp..... ....... Determine what type of model best fits the given situation:A. linearB. exponentialO c. quadraticD. none of theseReset Selection if chaka,ada and ese are to share 120 oranges with the ratio of 1:2:3 respectively. How many oranges does ada have?. Quadrilateral JKLM is rotated - 270 about the origin.Draw the image of this rotationNeed a visual answer please! Thanks! You work for the federal reserve setting monetary policy. The United States economy is hocurrently in a recession, a period of economic slow-down. The country is experiencing high levels of unemployment and prices are starting to rise due to inflation. The overall GDP of country is falling rapidly, and there is no end in sight. Without intervention from the Fed, the United States could enter a period of economic depression. - describe three actions that the federal reserve could take in order to improve the economic outlook of the country.- Explain how each action would impact the U.S. economy.- Use details and examples to support your answer. During which element of plot can the result of the conflict be predicted? Thank you so much thank yall for your help 1) Tesla needs to order custom processor chipsfior their cars. The annual demand is50,000. It cost $5000 to place an order. The chips must be stored in an environmentally friendly location and cost $50 per chip to store annually. The factory is open 360 days ayear. What is the optimal order quantity? What is the number of workdays in an order cycle?2) The Lancaster Tesla dealer is open to the public for customers to come to the store and test drive a car. On any given Saturday customer arrive at a rate of 5 customer per hour. It takes 1 employee about 30 minutes to complete the test drive with a customer. Some customers take shorter, some take longer. There is expected to be a wait, but what is the average number of customers waiting for service? This will allow Tesla to build the correct size waiting room. Also how long do customers wait in line. This will allow Tesla to plan alternative activities that can take place during the wait. As a manager, what would you recommend Tesla do about the current system in order to improve customer service? Teacher contact information g When 2.50 g of methane (CH4) burns in oxygen, 125 kJ of heat is produced. What is the enthalpy of combustion (in kJ) per mole of methane under these conditions Which of the following could define a physical region? home alone story fof class 9 Which of the following results in a decrease in the entropy?Heating iceIncreasing massCooling a liquidDissolving salt in water Damaged items are marked down 25% to 40%. A newspaper coupon holder; to an additional 10% markdown of the new price due to the damage. What is the lowest price of a damaged item that was originally marked GHC100? A GHC 35.60 B GH 5000 C. GHC 18.00 D. GHC 40.80 E GHC 23.40 An individual taxpayer reports the following items for the current year: Ordinary income from Partnership A, operating a movie theater in which the taxpayer materially participates $70,000 Net loss from Partnership B, operating an equipment rental business in which the taxpayer does not materially participate (9,000) Rental income from building rented to a third party 7,000 Short-term capital gain from sale of stock 4,000 What is the taxpayers adjusted gross income for the year? Read the excerpt from Gary Sotos short story "Like Mexicans.My grandmother gave me bad advice and good advice when I was in my early teens. For the bad advice, she said that I should become a barber because they made good money and listened to the radio all day. Honey, they dont work como burros, she would say every time I visited her. She made the sound of donkeys braying. Like that, honey! For the good advice, she said that I should marry a Mexican girl. No Okies, hijoshe would say Look, my son. He marry one and they fight every day about I dont know what and I dont know what. For her, everyone who wasnt Mexican, black, or Asian were Okies. The French were Okies, the Italians in suits were Okies. . . . she lectured me on the virtues of the Mexican girl.The complex narrative structure used in the excerpt is an example ofunconventional text features.several narrators being used.establishing a work of fiction that is based on nonfiction.the chronological order of events being manipulated. Write an expression in simplified form for the area of each rectangle. Width: 7 Length: 5n-9 i need serious helpplease its confusing....