Which of the following is the converse of the Triangle Proportionality
Theorem?
A. If a line divides two sides of a triangle proportionally, then it is
parallel to the third.
B. If a line is perpendicular to one side of a triangle, then it divides
the other two sides proportionally.
C. If a line is parallel to one side of a triangle, then it divides the other
two sides proportionally.
D. If a line divides two sides of a triangle proportionally, then it is
perpendicular to the third.
I’m

Answers

Answer 1

Answer:

The answer is A

Step-by-step explanation:

Answer 2

The correct answer is:

A)  If a line divides two sides of a triangle proportionally, then it is

parallel to the third.

What is triangle proportionally?

If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."

Hence, the converse will be If a line divides two sides of a triangle proportionally, then it is parallel to the third.

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Related Questions

samantha works at a nursery, where she pots plants. it takes her 1 1/2 hours to pot 12 plants.
how many plants can samantha pot in 1 hour?
12 (operation i dont know) n = (the number of plants she can pot in 1 hour)

Answers

Answer:

She could plant 9 plants.

Step-by-step explanation:

1 1/2 hours = 90 minutes, so 12 plants per 90 minutes. Which would mean 6 plants per 45 minutes. So in between 45 and 90 minutes (1 hour), and in between 6 and 12 plants (9).

Sorry if you didn't understand, I'm bad at explaining.

The price of headphones at Store A is $89.25z This is 3/4 the price of the headphones at Store B

Answers

Answer:

Price at store B = $66.94

Step-by-step explanation:

Given:

Price of headphones at Store A = $89.25

Find:

Price at store B

Computation:

Price at store B = 3/4[Price of headphones at Store A]

Price at store B = 3/4[89.25

Price at store B = $66.94

which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive

Answers

Identity property of multiplication is shown

How many girls if its 4/3 and 120 students

Answers

Answer:

well for me I think

Step-by-step explanation:

4/3×120

480/3

160

PLEASE HELP 25 points

Answers

Answer:

d) m=1/2

Step-by-step explanation:

have you ever heard of the equation y=mx + b

the m is your slope

in your equation above the number with x is 1/2, so that is ur slope..

Hope this helps!! Pls mark me brainliest!!

18 Which expression uses the greatest common factor and distributive property to write 18 1 24 as a product? Circle the letter of the correct answer.

Answers

Answer:

[tex]18 + 24 = 6 * 7[/tex]

Step-by-step explanation:

Given

[tex]18 + 24[/tex]

Required

Write as a product

Start by expanding the expression with a common factor

[tex]6 * 3 + 6 * 4[/tex]

Factorize:

[tex]6 ( 3 + 4)[/tex]

Express 3 + 4 as 7

[tex]6 (7)[/tex]

Convert () to multiplication

[tex]6 * 7[/tex]

Hence:

[tex]18 + 24 = 6 * 7[/tex]

Simplify 12−3l+5(4−l)

Answers

Answer:

−8+32

Step-by-step explanation:

...................

A) Find the values of k for which the equation x 2 − 2(2k + 1)x + (k + 2) = 0 has 2 equal roots.

Answers

Answer:

1/4 and -1

Step-by-step explanation:

For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.

Discriminant D = b² - 4ac = 0

Given the equation

x^2 − 2(2k + 1)x + (k + 2) = 0

From the equation, a  = 1, b = -2(2k+1), c = k+2

a = 1, b = -4k - 2, c = k+2

Substitute into the discriminant formula;

Recall that: b² - 4ac = 0

(-4k - 2)²-4(1)(k+2) = 0

16k²+16k + 4 - 4k - 8  =0

16k²+12k - 4 = 0

16k²+16k - 4k - 4 = 0

16k(k+1)-4(k+1) = 0

16k - 4 = 0 and k+1 = 0

16k = 4 and k = -1

k = 4/16 and k = -1

k = 1/4 and -1

Hence the required value of k is 1/4 and  -1

How much sleep do high school students get on a typical school night? An interested studentdesigned a survey to find out. To make data collection easier, the student surveyed the first 30 studentsto arrive at school on a particular morning. These students reported an average of 7.2 hours of sleepon the previous night.

Answers

Answer:

The answer is below

Step-by-step explanation:

How much sleep do high school students get on a typical school night? An interested student designed a survey to find out. To make data collection easier, the student surveyed the first 100

students to arrive at school on a particular morning. These students reported an average of 7.2 hours of sleep on the previous night.

(a) What type of sample did the student obtain?

(b) Explain why this sampling method is biased. Is 7.2 hours probably higher or lower than the true average amount of sleep last night for all students at the school? Why?

Solution:

a) A voluntary response sample is a sample made up of volunteers. It samples more people who have strong opinions and sample people who have less opinion on the survey. It is biased.

Convenience sample is a type of sampling where the group of people are conveniently selected from a population. It is biased.

Since the first 30 students to arrive at school on a particular morning was used, this is convenience sampling since only the first 30 was conveniently selected.

b) This sampling method is biased because the first 30 students are those who would have woken up earlier while those who woke up late would not be sampled.

This means that the 7.2 hours is lower than the true average amount of sleep last night for all students at the school

CAN SOMEONE HELP ME PLSSSS !!!!!!

Answers

Answer:B

Step-by-step explanation:

Answer:

[tex]5 {g}^{2} - 11 {g}^{} + 8[/tex]

Step-by-step explanation:

[tex]this \: is \: your \: answer \: ie \: option \: b \\ hope \: it \: helps \\ need \: thanks \: and \: brainliest...[/tex]

Factorize -6m plus 9

Answers

Answer:

[tex]3(-2m + 3)[/tex]

Step-by-step explanation:

Given

[tex]-6m + 9[/tex]

Required

Factorize

Expression: [tex]-6m + 9[/tex]

Start by expressing the expression as a sum of products.

[tex]-6m = 3 * -2m[/tex] and

[tex]9 = 3 * 3[/tex]

So;

[tex]3 * -2m + 3 * 3[/tex]

Notice that constant 3 is common in both terms.

This can then be factorizes as:

[tex]3(-2m + 3)[/tex]

Hence:

[tex]-6m + 9 = 3(-2m + 3)[/tex]

Answer:

3(-2m+3)

Step-by-step explanation:

round 0.0063 to 2 decimal places

Answers

Answer: 0.63
Step-by-step Explanation:
Estimation is usually a rounded-off figure where you can find a overall or a round figure of numbers such as decimals.

please help with this problem

Answers


Answer: c: 50°

x = 10

Put x into equations

5(10) & 8(10)

This gives you 50° and 80°

50 + 80 = 130

because it is a parallelogram the angles will be the same on the opposite half which means you subtract to find m

180 - 130 = 50


If it takes 9 3/4 yards of material to make curtains for 3 windows, how much material is needed
for 11 windows?

Answers

Answer:

You would need 35.75 or 35 3/4 yards of material

Step-by-step explanation:

You must take 9 3/4 and divide it by three so we can figure out exactly how much material is needed for just one curtain. We figure the number 3.25 or 3 1 /4. There are 11 windows total windows, and 3 1/4 per window; therefore, you must multiply the two to get your final answer which would of course be 35 and 3/4 yards of material.

I hope this helped!

Have a great day/night and good luck with your school endeavors! you're doing great!!

yo i need help whit how i got the answer plz help me ​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Let us first set up an equation.

(3x - 7) + (2x + 3) = 90

5x - 4 = 90

5x = 94

x = 18.8

Hope this helps!

Please mark as brainliest.

Answer:

D  m<A = 49.4 deg

Step-by-step explanation:

Since the lines are perpendicular, the sum of the measures of angles A and B is 90 deg.

m<A + m<B = 90

3x - 7 + 2x + 3 = 90

5x - 4 = 90

5x = 94

x = 18.8

m<A = 3x - 7 = 3(18.8) - 7 = 56.4 - 7 = 49.4

Answer: D  m<A = 49.4 deg

Simplify the following.
-(3z)2
A. 6z
B. 9z2
C. -9z2
D. -6z2
E. 6z2

Answers

Answer:

-9x²

Step-by-Step explanation:

-(3x)²

In PEMDAS, we solve the exponent first then multiply.

-(3x)²

-(9x²)

-9x²

(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help

Answers

It is a function because the x doesn’t repeat

Do you guys get how to do this one if so please comment down the answer I would appreciate it if you help out!

Answers

Answer:

17

Step-by-step explanation:

81 - 8^2 =

8^2= 8 x 8 = 64

81-64 = 17

A 12,000 gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will take it to fill the entire pool

Answers

Answer:

30

Step-by-step explanation:

on the occasion of New year a super market announces a discount of 20
percent on every item. if they labeled price of an article is rs 840 how much should a customer pay for it ​

Answers

Step - 1: Calculate 20% of 840.

[tex]840 \times \frac {20}{100} = 168[/tex]

Step - 2: Subtract from 840.

[tex]840-168=672 [/tex]

PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!

Answers

Answer:

6

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have a great day and consider marking this brainiest if you do thank you in advanced!

Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equation.

(2,-2) and (5,9)

Answers

Answer:

3y = 11x-16

Step-by-step explanation:

The general equation of a line that passes through two points can be written as;

y = mx + b

where m is slope and b is the y-intercept

Mathematically in this case;

m = (9-(-2)/(5-2) = 11/3

To write the equation, we use the one-point form

y-y1 = m(x-x1)

(x1,y1) = (2,-2)

y + 2 = 11/3(x-2)

y = 11x/3-22/3+ 2

y = 11x/3 -16/3

so;

3y = 11x - 16

One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?

Answers

Answer:

pipe will empty the tank in 10.5 hours, working alone.

Step-by-step explanation:

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5*3.5*x = 1;  hence   x = 1%2F%287.5%2A3.5%29.

Then  2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

The faster pipe will empty the tank in 10.5 hours, working alone.

What is Volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5×3.5×x = 1

7.5×3.5 x=1

Divide both sides by 7.5×3.5

x=1/ 7.5×3.5

2.5x=2.5/ 7.5×3.5

x=1/10.5

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

Hence, the faster pipe will empty the tank in 10.5 hours, working alone.

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I need help solving this

Answers

Answer:

x=10

y=25

Step-by-step explanation:

3x-10+5x+30+6x+20=180

14x+40=180

14x=180-40

14x=140

x=10

9x-10=4y-20

9(10)-10=4y-20

90-10=4y-20

80=4y-20

80+20=4y

100=4y

25=y

Jane had 3/4 of a pound of blueberries. Jane let her friend Jack eat 1/2 of the blueberries. How many pounds of blueberries did Jack eat?

Answers

Answer:

Jack eat 3/8 pounds of the blueberries.

Step-by-step explanation:

Jane had 3/4 of a pound of blueberries.

Jack eat 1/2 of the blueberries.

How many pounds of blueberries did Jack eat?

= 1/2 of 3/4 pounds of blueberries

= 1/2 × 3/4

= (1*3) / (2*4)

= 3/8 pounds

Jack eat 3/8 pounds of the blueberries.

I need help I forgot how to this
AND THANK YOU

Answers

Answer:

x=-2

Step-by-step explanation:

same on both sides

Answer: x=-2
Look at where the curve splits in the middle, that is where the line of symmetry is.

6 - 6x = 7x - 9x - 22
What is the value of x ?

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

6 - 6x = 7x - 9x - 22

combine like terms

6 - 6x = -2x - 22

   +2x       +2x

6 -4x = -22

-6          -6

-4x  =  -28

divide both sides by -4

x = 7

Hope this Helps!!!

Jimmy could type 80 words in a minute last week. After training, he can type 100 words now. What is the percentage increase of Jimmy's typing speed?

Answers

Answer:

25%

Step-by-step explanation:

100-80=20

80÷20=4

100÷4=25

25%

Translate the sentence into the equation and then solve the equation


Ten is the same as the quotient of n and five increased by six

Answers

10n= 5+6 honestly I just guessed I’m just a beginner

Your running a fuel economy study. You find a blue car. It travels 44 1/2 miles on 1 1/4 gallons of gasoline another car is red it can travel 20 4/5 miles on 4/5 gallons of gasoline what is the unit rate for miles per gallon for each car? Which car could travel the greatest distance on one gallon of gasoline

Answers

Given:

Blue car travels [tex]44\dfrac{1}{2}[/tex] miles on [tex]1\dfrac{1}{4}[/tex] gallons of gasoline.

Red car travels [tex]20\dfrac{4}{5}[/tex] miles on [tex]\dfrac{4}{5}[/tex] gallons of gasoline.

To find:

The unit rate for miles per gallon for each car and find which car could travel the greatest distance on one gallon of gasoline.

Solution:

We know that,

[tex]\text{Unit rate}=\dfrac{\text{Total distance covered by the car}}{\text{Number of gallons of gasoline}}[/tex]

Using this formula, the unit rate of blue car is

[tex]\text{Unit rate of blue car}=\dfrac{44\dfrac{1}{2}}{1\dfrac{1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{\dfrac{88+1}{2}}{\dfrac{4+1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{89}{2}\times \dfrac{4}{5}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{178}{5}[/tex]

[tex]\text{Unit rate of blue car}=35.6[/tex]

Unit rate of red car is

[tex]\text{Unit rate of red car}=\dfrac{20\dfrac{4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{\dfrac{100+4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{104}{5}\times \dfrac{5}{4}[/tex]

[tex]\text{Unit rate of red car}=26[/tex]

Therefore, the unit rate of blue car is 35.6 miles per gallon of gasoline and  unit rate of red car is 26 miles per gallon of gasoline.

Since, unit rate of blue car is greater than the red car, therefore blue car travel the greatest distance on one gallon of gasoline.

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