Explain how to find the value of y that would make segment OP parallel to segment LN.

Explain How To Find The Value Of Y That Would Make Segment OP Parallel To Segment LN.

Answers

Answer 1

Answer:

[tex]y = 36[/tex]

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to  ML

Mathematically; This can be represented as follows;

[tex]\frac{MP}{MN} = \frac{MO}{ML}[/tex]

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

[tex]\frac{y}{y+18} = \frac{28}{28+14}[/tex]

[tex]\frac{y}{y+18} = \frac{28}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{y}{y+18} = \frac{28}{42} * 42[/tex]

[tex]\frac{42y}{y+18} = \frac{28*42}{42}[/tex]

[tex]\frac{42y}{y+18} = 28[/tex]

Multiply both sides by y + 18

[tex](y+18)*\frac{42y}{y+18} = 28 * (y+18)[/tex]

[tex]42y = 28 * (y+18)[/tex]

Open Bracket

[tex]42y = 28 * y+28 * 18[/tex]

[tex]42y = 28y+504[/tex]

Subtract 28y from both sides

[tex]42y - 28y = 28y - 28y +504[/tex]

[tex]14y = 504[/tex]

Divide both sides by 14

[tex]\frac{14y}{14} = \frac{504}{14}[/tex]

[tex]y = \frac{504}{14}[/tex]

[tex]y = 36[/tex]

Answer 2

Answer:

y= 36

Step-by-step explanation:

also ily, no homo


Related Questions

According to exponent rules, whne we multiply exponential expressions we___the exponents

Answers

Answer:

add

Step-by-step explanation:

Choose the true statement.
-858
-8>8
-8= 8

Answers

the answer is 8=8

Step-by-step explanation:

it just is

What represents the inverse of the function f(x)=4x?

Answers

Answer:

Dear user,

Answer to your query is provided below

The inverse of the function f(x)=4x is y=(x/4)

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=4x becomes x=4y.

Now, solve the equation x=4y for y.

y=(x/4)

Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25

Answers

I think is answer c 12/45

Answer:

C: 12/45

Step-by-step explanation:

You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.

12/3 =4

45/3 =15

4/15

A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units?

Answers

Answer:

6 units cubed

Step-by-step explanation:

The volume will simply be the volumes of all the little cubes added together.

The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:

V = s³ = (1/2)³ = 1/8 units cubed

We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:

48 * (1/8) = 6 units cubed

Thus, the prism is 6 units cubed.

~ an aesthetics lover

Answer:

[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]

Given:

Total numbers of cubes in a prism = 48

Side length of each cube = [tex] \frac{1}{2} [/tex] unit

Step-by-step explanation:

[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]

[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]

Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?

Answers

Answer: Each friend got 3 cookies.

Step-by-step explanation:

Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.

Answer:

Step-by-step explanation:

So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.

24-3=21

Then divide 21 by the number of friends.

21÷7=3

So each friend got 3 cookies.

a food scientist wants to know if increasing the amount of lemon juice in a hummus recipe by 10% will increase the shelf life of the product, so he prepares 100 Badges of the recipe - 50 following the old recipe and 50 with extra lemon juice –and?checks each batch once per day to see how long it stays fresh. What type of data source is this?​

Answers

Answer:

  b.  Experiment

Step-by-step explanation:

Setting up conditions so that you can examine the outcome is called an "experiment."

Answer:

[tex]\fbox{\begin{minipage}{10em}Option B-Experiment\end{minipage}}[/tex]

Step-by-step explanation:

As described, the food scientist performs the research based on the actual data, without using a computer or any simulation devices.

=> The data source is not generated from a computer simulation.

=> Option A-Simulation is incorrect.

The food scientist intentionally prepares the research by conducting an experiment, in which 100 badges are used, 50 badges following the old recipe and 50 badges with extra lemon juice.

=> This is not a subjective process, but a purposely attempting to observe the amount of lemon juice in a specific manner.

=> This is not a survey.

=> Option C-Survey is incorrect.

=> Option B-Experiment is correct.

Hope this helps!

:)

If p(x) = x + 3, then p(x) + p(–x) is equal to ??

Answers

Answer:

The answer is 6

Step-by-step explanation:

p(x) = x  + 3

p(-x) = -x + 3

=> p(x) + p(-x) = x + 3 + (-x) + 3 = 6

Hope this helps!

:)

72= 27+ 9s solve the equation

Answers

Answer:

s=5

Step-by-step explanation:

72=27+9s

Subtract 27 from both sides.

72-27=9s+27-27

45=9s

Divide 9 from both sides.

5=s

is the function in the graph non-linear?
4
3
-32
2
5
O Yes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.
No, because it does not have a constant rate of change.

Answers

Answer:

B. Yes, because it does not have a constant rate of change.

Step-by-step explanation:

For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.

part 1. Find the value of the trig function indicated, use the Pythagorean Theorem to find the 3rd side if you need it​

Answers

Answer:  [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse

[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]

Note: 2² + 2² = hypotenuse²  →  hypotenuse = 2√2

[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: hypotenuse not needed for tan θ

[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]

Note: 2² + 3² = hypotenuse²  →  hypotenuse = √13

[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]

Note: hypotenuse given in problem

What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.

Answers

Answer:

33.3%

Step-by-step explanation:

Take the original price and subtract the new price

36-24=12

Divide this by the original price

12/36 = 1/3 = .33333repeating

Multiply by 100 % to get to percent form

.3333 repeating * 100%

33.3333%

Round to the nearest tenth

33.3%

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

I believe it's c.

Step-by-step explanation:

Starts and includes 2, goes until and includes 5.

Answer:

C

Step-by-step explanation:

Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.

a can contains 15/16 pound of vegetables on serving these vegetables weighs 1/4 pound what is the total number of serving of vegetables in the can

Answers

Answer:

3 and 3/16 servings in the can.

Step-by-step explanation:

There are 3 1/4s in 15/16, and there are 3/16 left over.

A SCHOOL HAS 320 GIRLS AND 250 BOYS

THE PROBABILITY THAT A GIRL IS LEFT-HANDED IS 0.2
THE PROBABILITY THAT A BOY IS LEFT-HANDED IS 0.1

ESTIMATE THE NUMBER OF LEFT-HANDED STUDENTS IN THE SCHOOL

Answers

Answer:

89

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them  together. I hope it helps and I'm not sure what method you would use for this but that's mine.

Help
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?



Enter your answer, in simplest fraction form, in the box.

Answers

Answer:

The probability is 2/3

Step-by-step explanation:

The first thing to write here is the sample space.

I have shown this in the attachment.

Kindly note that the number of expected outcome is 36

The outcome we are looking at is either an even sum or a multiple of 3

These are what i have circled in the addition results

The number of circles is 24

The probability is thus 24/36 = 2/3

PLEASEEEEEEEEEEEEEEEEEEEEEE URGENT HELP I HAVE NO IDEA!LIKE ALWAYS I WILL MARK CORRECT ANSWER AS BRAINLIEST!
PLEASEEEEE CHECK MY OTHER QUESTION AS WELL AFTER THIS ONE THANK YOU I WOULD REALLY APPRECIATE IT!!!!

HORIZONTAL Options: (a) 2 units left. (b)2 units right. (c)1 unit left. (d)1 unit right.

VERTICAL TRANSLATION of OPTIONS: (a) 2 units up (b) 2 units down (c) 1 unit up (d) 1 unit down

30 POINTS EVERYONE AND BRAILIEST IF IT IS CORRECT PLS AND THANK YOU

Answers

Answer:

Vertical: 2 units down

Horizontal: 1 unit left

Step-by-step explanation:

X +/- numbers: means it will go up or down

If its parentheses then it is the opposite

What’s the 73rd term of the sequence 18,30,42

Answers

Answer:

Let's find the explicit rule for this arithmetic sequence. We have:

aₙ = a₁ + (n - 1) * d

   = 18 + 12 * (n - 1)

   = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

A square of area 36 cm2 is cut to make two rectangles, A and B the ratio of A to area b is 2 : 1

Answers

Answer:

24 cm² and 12 cm²

Step-by-step explanation:

Sum the parts of the ratio, 2 + 1 = 3 parts

Divide the area by 3 to find the value of one part of the ratio.

36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus

2 parts = 2 × 12 = 24 cm²

area of A = 12 cm² and area of B = 24 cm²

Answer:

3:1

Step-by-step explanation:

express in the form 1:n 5:15

Answers

Answer: n = 3

Step-by-step explanation:

You could treat these two ratios as fractions

[tex]\frac{1}{n} =\frac{5}{15}[/tex]

There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:

5n = 15

Divide each side by 5 to get n = 3

line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p

Answers

Perpendicular slopes multiply to -1, so are negative reciprocals.

-1 / -3 = 1/3

Answer: B.  1/3

TREC is a rectangle. What is the length of ET?

Answers

The distance between ET

the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner

Answers

Answer:

(1,1)

This is the answer

(-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT

Answers

Answer: No

Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relation shown here, notice that

the x-coordinate 2 appears twice.

In one case, 2 corresponds to -4 and in

the other case, 2 corresponds to -4.

Since the x-coordinate 2 corresponds to more than one

y-coordinate, no, this relation is not a function.

Convert the following time to 24-hour clock time. a) 5:00 pm b) 6:45 p.m c) 8:05 a.m d) 12:59 a.m III. Convert the following time to 12-hour clock time. a) 0400 hours b) 1500 hours c) 0010 hours d) 0240 hours

Answers

Answer:

5:00 pm -> 1700 hours

6:45 pm -> 1845 hours

8:05 am ->  0805 hours

12:59 am -> 0059 hours

0400 hours -> 4:00 am

1500 hours -> 3:00 pm

0010 hours -> 12:10 am

0240 hours -> 2:40 am

Step-by-step explanation:

12:xx am -> 00xx

all times from 1:00 am to 9:59 am stay nearly the same 0100 to 0959

all times 10:00 am to 12:59 pm stay nearly the same 1000 to 1259

all times 01:00pm to 12:00pm + 12 -> 1300 to 2400

Which graph shows line symmetry about the y-axis?

Answers

Answer:

1st one does

Step-by-step explanation:

There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

When a graph is symmetry about the y-axis?

A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.

The graph which is symmetry about y-axis is attached below.

In the given image,

The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.

Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

Learn more about the symmetry of graph here;

https://brainly.com/question/5960559

#SPJ2

Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?

A) 1.00
B) 0.55
C) 0.10
D) 0.45

Answers

Answer:

B) 0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Step-by-step explanation:

Explanation:-

 Given  Event A and Event B are mutually exclusive.

  Given data P(A) = 0.45

                     P(B) = 0.35

                     P(C) = 0.25

The probability of the complement of Event A

                   P( A⁻ ) = 1 - P( A)

                              =  1 - 0.45

                              = 0.55

Final answer:-

The probability of the complement of Event A = 0.55

   

The probability of the complement of Event A is equal to  0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Given  Event A and Event B are mutually exclusive.

 We have given data P(A) = 0.45

                    P(B) = 0.35

                   P(C) = 0.25

The probability of the complement of Event A.

What is the formula for the compliment of the event?

P( A⁻ ) = 1 - P( A)

Use the given value in the above formula we have,

=  1 - 0.45

= 0.55

The probability of the complement of Event A is equal to 0.55.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ5

 

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

So find the number that is a perfect square and 2 times the square root = 10

The number is 25.

Check:

[tex](x+5)^2=x^2+10x+25[/tex]

Answer:

The answer is 25.

Step-by-step explanation:

25 is a perfect square of 5. When x are added together, they form 10x.

[tex] {(x + 5)}^{2} [/tex]

[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]

[tex] {x}^{2} + 10x + 25[/tex]

Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?

Answers

Answer: 4 horas

Step-by-step explanation:

Una semana (de lunes a viernes) contiene 5 días

Si se entrena 1 hora por día:

1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)

Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)

(5+x) /6 =1.5

Despajando x:

5+x =1.5 x 6

5+x =9

x =9-5

x = 4 horas

can someone help me pls !!

Answers

Answer:

you're on a computer, you can literally just look up the answer.

Step-by-step explanation:

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