1. Assume O P || NM.
What are possible lengths for each of the following segments?
LO, ON, LP, and PM
Choose one measure for each segment. You can start with the length of any segment, but remember to consider the
Triangle Proportionality Theorem when choosing the measurements.
2. How did you decide what values to use? Explain how you chose your measurements, and why you know they are
possible measurements for the segments.
3. What is a different method you could use to choose these numbers? Explain your answer.

Answers

Answer 1

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex] using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

What is the Triangle Proportionality Theorem?

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

[tex]\frac{ON}{LO} = \frac{PM}{LP}[/tex]

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex]

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

[tex]\frac{3}{1} = 3\\\\\frac{6}{2} = 3[/tex]

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

https://brainly.com/question/24804474

1. Assume O P || NM.What Are Possible Lengths For Each Of The Following Segments?LO, ON, LP, And PMChoose

Related Questions

Help help help help help help help MATH MATH

Answers

Answer:

60

Step-by-step explanation:

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

Answers

Answer:

A ball is thrown vertically upward with a speed of 25.0 m/s

what’s the domain and range of this graph ? PLEASE HELP URGENT

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Step-by-step explanation:

Domain -5 range 5 ,...............

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

=======================================================

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

=======================================================

Problem 3

Answer: Choice C

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order

Answers

5(1.50)+5(2.50)+2n
or
7.5+12.5+2n
20+2n= Cost

Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?

Answers

Answer:

Calvin's number: 16 Sanjay's number: 6

Step-by-step explanation:

6 x 3 = 18, 18 - 2 = 16

16 / 2 = 8, 8 - 2 = 6

PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20​

Answers

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

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

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x

Graph (y=-2x+5)

Plz have it answered in 5 min.
It is on Khan Academy

Answers

Answer:

eeeeee

Step-by-step explanation:

eeeeeeee

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 - 5.

Answers

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

Expand ; 3(1-x/2)^2​

Answers

Answer:

[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]

[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]

Guys help me on this one please…

Answers

Answer: 6. 35 hours

7. 741 Miles

8. 1.5 or 1.54

Step-by-step explanation:

6. 142.20/6=23.7

829.50/23.7=35

7. 117/3=39

39x19=741

8.19/12.35=1.538

Solve.
Sophia wants to buy a pair of shoes online. Shop X has a price of 35.90 CAD. The price at
Shop Y is 21 British pounds (GBP). Compare the prices using Canadian dollars. If 1 CAD =
0.75 GBP, which shop offers a better deal? Explain.

Answers

Answer:

Shop Y

Step-by-step explanation:

In order to compare, we need to make both the same units first. Since they give us the conversion factor 1 CAD=0.75 GBP, we can plug this in to the shoes from shop X. We get 35.90*0.75=26.93 GBP.

Now we can compare. Since 21 GBP < 26.93 GBP, we can see that shop Y's shoes are cheaper, and therefore the better deal.

100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh

Answers

Answer:

100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?

Step-by-step explanation:

please mark my answer in brainlist plz

100 drops = 9 grams
100 million is 100 x million
so 9 x million is 9 million

Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help

Answers

Answer:

3n + 12

n + n + n + 4 + 4 + 4

(n+4) + (n+4) + (n+4)

Step-by-step explanation:

Simplify 3(n+4).

3 x n = 3n

3 x 4 = 12

3n + 12

Expand.

3(n+4)

3 x n = n + n + n

3 x 4= 4 + 4 +4

And

3(n+4)

= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)

Do it on a piece of paper and put it in the answer box ASAP

Answers

Just do it as a reference cause you’ll never learn if you use Brainly especially on tests I learned that the hard way trust me

Step-by-step explanation:

absolutely. there is no mathematical problem to solve.

just do what the instructions tell you.

that is an exercise for you to get a feeling what is what.

HELP!!!
graph and label the following real numbers on the number line:

Answers

Answer:i dont know yet

Step-by-step explanation:

I don’t know bug good luck

What three fractions are greater then 1/2 but less then 1

Answers

Answer:

5/8

6/7

2/3

Step-by-step explanation:

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x

Answers

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation

(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6

Answers

8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

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

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

How many eighty-fours are in 672

Answers

672 / 84 = 8.

There are “8” 84’s in 672.

The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?

Answers

Answer:

3

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

Step-by-step explanation:

x, y are the 2 numbers.

x + y = 10

y - x = 4

that gives us

y = x + 4

and we use that in the first equation :

x + x + 4 = 10

2x = 6

x = 3

y = x + 4 = 3 + 4 = 7

so, yes, the smaller number is 3.

solve for g. bf-5k=c(g+2k)

Answers

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

Someone help me click this solve it using < or >

Answers

Answer:

<

<

>

Step-by-step explanation:

To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].

Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".

To do these sums, we have to first convert them to like fractions.

For the first one:

LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]

For the second sum:

LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]

For the third one:

LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...

Answers

Answer:

177146

Step-by-step explanation:

2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

This is Comparing Quantities

3 days to 40 hours
pls help me ​

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

finding the missing number 2 4 6 __ 10 12​

Answers

Answer:

8 because the pattern goes up by 2 each time

Answer:

8

Step-by-step explanation:

For the expression:
(9x^2 + 4y^2 -12xy) / (4y^2 - 9x^2)

Find the domain

Answers

Answer:

Interval Notation (-∞, ∞)

Set-Builder Notation: {x|x ∈ R} (all real numbers = R)

Step-by-step explanation:

I plugged this into a graphing calculator and was able to find the domains by looking at where the lines stopped (they didn't stop) and wrote the f(x) based off of it

I need help with this question

Answers

If I'm not mistaken, both should be the third option, or (C)
I can explain further in a reply, if needed.

Slove for x : 4x - t = a

Answers

we have:   4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]

ANSWER: x = [tex]\frac{a+t}{4}[/tex]

ok done. Thank to me :>

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