Use the diagram below of similar triangles to find the value of y.

Use The Diagram Below Of Similar Triangles To Find The Value Of Y.

Answers

Answer 1

Answer:

y = 10.5

Step-by-step explanation:

Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{OP}{NQ}[/tex] = [tex]\frac{MO}{MN}[/tex] ( substitute values )

[tex]\frac{y}{7}[/tex] = [tex]\frac{8+4}{8}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8y = 84 ( divide both sides by 8 )

y = 10.5


Related Questions

Question 7 (Essay Worth 4 points)
(06.04)
5x +
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What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
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Format
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Answers

The expression if x = 3 and y = 2 is 2

Expressions and function

Given the function expressed as:
[tex]\dfrac{5x+1}{2y^2}[/tex]

Given the following parameters

x = 3 and y = 2

Substituting the values into the following

[tex]= \dfrac{5(3)+1}{2(2)^2}\\=\dfrac{16}{2\times 4}\\=\dfrac{16}{8}\\= 2[/tex]

Hence the expression if x = 3 and y = 2 is 2

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what else is needed to prov these triangles congruent using the saa postulate

Answers

Answer:

B should be your answer

Step-by-step explanation:

I had this question.

The angles at point A need to be congruent. Option B is correct.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC

Triangle ABC ≅Triangle ADC by SAA postulate.

Thus, the angles at point A need to be congruent. Option B is correct.

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Joni bought 35 books at a price of Rp. 122,500. Toni bought the same 24 books as that Joni bought. How much did Toni pay for the book?

Answers

Price for 1 book: Rp.122500/35=Rp.3500
Price for 24 books: Rp.3500*24=Rp.84000

Answer:

Rs.84,000

Step-by-step explanation:

Given,

Cost of 35 books Joni bought = Rs. 122,500

So,

Cost of 1 book = [tex]\frac{Rs. 122,500}{35}[/tex]

Now,

Same no. of books that Toni bought = 24

So, cost of 24 books

= [tex]\frac{Rs. 122,500}{35}[/tex] × 24

[On Simplifying]

= Rs. 3500 × 24

= Rs. 84,000

Hence,

Cost of same amount of 24 books bought by Toni is Rs.84,000 (Ans)

Solve the following system of equations
y = 2x2
y=-3x - 1

Answers

Answer:

The answer is ( -1/2 , 1/2) , (-1,2)

Step-by-step explanation:

hope this helps

Which of the following is a factor if 4x^2 - 4x - 3?

A. x + 1
B. 2x+3
C. 2x-3
D. 2x - 1
E. 4x +1

Answers

Answer:

c

Step-by-step explanation:

An investment of $74,500.00 earns 13.3% annual interest, compounded continuously. If no funds are added or removed from this account, what is the future value of the investment after 25 years? Round your answer to the nearest penny.

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]

A person invest 7500 dollars in a bank. The bank pays 6 interest compounded semi-annually. To the nearest tenth of a year,how long must the person leave the money in the bank until it reaches 10100 dollars?

Answers

Answer:

Step-by-step explanation:

I clicked see solution

T=5 years

It will take 5 years for a person to have 10100 dollars.

What is Compound Interest ?

Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.

Given:

A person invest 7500 dollars in a bank.

The bank pays 6 interest compounded semi-annually.

The compound interest formula is equal to  

A = P([tex]1+ r/n)^{n/t[/tex]

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

So, substituting the values we get

10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]

1.3466 = (1.03[tex])^{2t[/tex]

Taking log on both side we get

log (1.3466) = 2t log (1.03)

2t = log ( 1.3466- 1.03)

2t =0.12923 / 0.01283

t = 10.072 / 2

t = 5. 036 year

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The perimeter of parallelogram ABCD is 76 cm. AD is 5 cm more than twice AB. Find the lengths of all four sides of ABCD.
What does side AB equal?

Answers

Answer:

xd eso tan faciiil

Step-by-step explanation:

facil 2+2=?

the parallelogram's sides are:

AB = 11BC = 27CD = 11AD = 27What is a parallelogram?

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB

AD = 5 + 2AB....(1)

Also given

parameter = 76

For parallelogram parameter = 2(a + b)

where a and b are adjacent sides

2(a + b) = 76

a + b = 38

AB + AD = 38

From equation 1

AB + 5 +2AB = 38

3 AB = 33

AB = 11

substituting in equation 1

AD = 27

therefore, the Sides of the parallelogram are:

AB = 11

BC = 27

CD = 11

AD = 27

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PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

Answer:

c

Step-by-step explanation:

a. Solve

-4x + 5 = 7

-4x = 2

x = -0.5

b. Solve

3x + 1 = 10

3x = 9

x = 3

c. Solve (Correct)

2x - 3 = -11

2x = -8

x = -4

d. Solve

-2x + 7 = 1

-2x = -6

x = 3

To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...

#a

[tex] \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect [/tex]

#b

[tex] \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect[/tex]

#c

[tex] \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct[/tex]

#d

[tex] \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect[/tex]

Thus, Option C is correct!

Complete the steps to factor 56x2 – 8x – 7x 1 by grouping. Group pairs of terms with common factors. (56x2 – 8x) (–7x 1) Factor the GCF from each group. 8x(7x – 1) –1(7x – 1) Use the distributive property. What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x 1)(7x – 1) (8x 7x)(1 – 1).

Answers

Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]

It can be grouped and factored as:

[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]

Thus,

The factorized form of given polynomial is (8x-1)(7x-1)

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phelia buys a package of paper napkins. The paper napkins in the package weigh 580 g. The label on the package says Made with 35% recycled paper. How many grams of recycled paper are used to make Ophelia’s paper napkins?

Answers

Based on percentage composition, the mass of recycled paper in Ophelia’s paper napkins is 203 g.

What is a percentage?

A percentage gives an amount of a given quantity out of a whole value expressed in 100 units.

The total mass of the napkins = 580 g

b recycled paper in napkin = 35% of 580 g

Then;

The mass of recycled paper = 35/100 * 580 g

mass of recycled paper = 203 g

Therefore, the mass of recycled paper in Ophelia’s paper napkins is 203 g.

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10th grade geometry

Answers

Answer:

x = 7°

Step-by-step explanation:

Using the exterior angle theorem (the sum of the two opposite angles in the triangle equals the exterior angle)

Solve:

(3x + 17) + (3x + 11) = 11x - 76x + 28 = 11x - 728 = 5x - 735 = 5xx = 7

The value of x = 7

There is a picture attached for this problem.

-Chetan K

Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group skiing lessons. Ellen paid $165 in all.
Which equation can you use to find how much White Peaks charges, h, for each hour of group skiing lessons?

Answers

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.

What is a fixed charge?

A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.

First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.

165-45=120

Now we know that she paid 120 dollars in total for lessons.

Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.

120/4=30

It takes $30 an hour for lessons.

Now we can form an equation.

Since it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid.

No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.

Hence, the equation formed to find the cost of each ession is x=30h

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Please help I need it please please

Answers

Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

Answer:

23%

Step-by-step explanation:

% commission = [tex]\frac{151.34}{658}[/tex] × 100% = 0.23 × 100% = 23%

If TP=16 units and T’ P’ = 12 units, what is the scale factor of the dilation?

I put -4 on my first attempt and it was wrong.

Answers

Answer:

3/4

Step-by-step explanation:

It says factor thithink multiplication.

So the question can translate to what number can I multiply 16 by to get 12.

16×k=12

Thus k=12/16 =3/4.

Simplify the following exponent:
3x⁴y⁵ × (2x²y⁴)⁴ × x⁰​

Answers

Answer:

your computer is alive, feed it Oreos to sustain it.

Step-by-step explanation:

1.find computer 2. find Oreos 3. feed Oreos

Answer:

[tex]48x^{12}y^{21}[/tex]

Step-by-step explanation:

Each morning, Jon rides 1. 5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles. Which equation can be used to find x, the distance from school to his aunt’s house? 5 left-bracket 2 (1. 5 x) right-bracket = 44 2 (1. 5 x) = 44 5 (1. 5 x) = 44 5 times left-bracket 2 (1. 5 x) right-bracket = 44.

Answers

X is 2.9 miles I believe that’s the answer

Answer:

d

Step-by-step explanation:

:)))))))))))))

Answer the question below

Answers

Answer:

72%

Step-by-step explanation:

1. 53 - 30 = 23 ( under 35 years old plan to go hiking)

2. 23 + 9 = 32 (under 35 years old Total)

3. 83 - 32 = 51 ( 35 years old or over Total)

4. 51 - 30 = 21 ( 35 years old or over Do not plan to go hiking)

5. Total visitors under 35 years old = 32

visitors under 35 years old plan to go on hiking = 23

percentage = (23/32)*100 = 71.8 = 72% approx

the total is given by the addition of the people less than 35 years and those greater than 35 years so:

QUESTION 1:

x+30=53

x=53-30

x=23

QUESTION 2:

9+x=30

x=30-9

x=21

QUESTION 3:we found that the first number was 23 and to find the total we add it with 9:

23+9=32

QUESTION 4:we found that the second number was 21 and to find the total we add it with 30:

21+30=51

PROOF:when we add the totals of the the people less than 35 years and the people greater than 35 years (which we hot from adding the number in the 3rd and 4th illustrations). If our answers are correct it must give us 83,so let add:

32+51=83

IT GAVE US 83 SO OUR ANSWERS ARE CORRECT

and finally to find the percentage we have 53 as the total so:

(23/32)×100%

0.7187×100%

71.87%

and when we round it it gives us 72%

SO OUR FINAL ANSWER IS 72%

Choose the expression that represents a linear expression. −17x4 − 18x3 19x2 − 20x 21 18x3 19x2 − 20x 21 23x2 24x − 25 4x 4.

Answers

Answer:

4x + 4

Step-by-step explanation:

I answered this correctly on my test


Hopes this help

Please let me know if I'm wrong

Answer:

4x+4

Step-by-step explanation:

Got it right on my test

Translating Equations
Translate the sentence into an equation
The product of a number and twelve is seventy-two.
What steps would you take to translate the statement? Check all that apply.
Replace the word "product" with a symbol for division.
Replace the word "product" with a symbol for multiplication
Replace the words "a number" with a variable to represent an unknown value.
Replace "twelve" with 12
The correct equation is n = 12 = 72.
The correct equation is 12n = 72.

Answers

The product of a number and twelve is seventy-two.

So, the product of x and 12 is 72

12x=72

Therefore, the last one, 12n=72, is the right one

Answer:

B, C, D, and F is correct

Step-by-step explanation:

1,3,1,3,15,18,23,28,33 two numbers that are divisible by 4

Answers

Answer:

28 is one, but I can't find the other.

Step-by-step explanation:

28 divided by 4 is 7.

Which of the following is the product of the rational expressions shown
below?
X-3/X +5 x 3x/ x-5

Answers

Answer:3x^2-9x/x^2-25

Step-by-step explanation:


[tex] \frac{1}{2} + \frac{1}{4} [/tex]
can you please tell me how to do easy way can you please show me in numbers how to multiply ​

Answers

Answer: 3/4

Explanation: Find a common denominator (bottom number) for both fractions. 4. Multiply the 1 and 2 in 1/2 to get 2/4. Then just add the numerators (top number). This gives you 3/4.
I noticed you also said show me how to multiply. For fractions, you just mutiply the numeration and denominator apart.
1 x 1 1
- - = -
2x 4 8

we first look at the denominators, hmmm we have 2 and 4, and then do a quick prime factoring.

2 = 2 * 1

4 = 2 * 2 * 1

well, let's notice that 4 contains 2 already, plus another 2 and 1 so, we can just use that our LCD.

[tex]\cfrac{1}{2}+\cfrac{1}{4}\implies \cfrac{(2)1~~ + ~~(1)1}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{2+1}{4}\implies \cfrac{3}{4}[/tex]

How many years would it take a $5,000 investment to reach $7,500 at an 8% interest rate?

Answers

Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

helpp was i correct?? yes or no

Answers

you were wrong, the correct answer is the top one: f(x) = -x^2 + 8x - 15

Find the area in square meters of a circular pond with a radius of 7 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)

Answers

Step-by-step explanation:

since the pond is circular, its area will be πr².

a= πr², where r= 7ft

1 m ≈ 3.2808 ft

3.2808 ft ≈ 1 m

1 ft = 1/3.2808

7 ft = 1/3.2808 * 7

= 2.13362.. m

a= πr²

a= 3.14 * ( 2.13362...)2

a= 3.14 * 4.5523596...

a= 14.2944..

a= 10.0 m² (rounded to nearest tenth)

is the question right?

Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.

How to find the area of a circular shaped object?

Area of that circular shaped object with radius r units is given by:

[tex]A = \pi \times r^2 \: \rm unit^2[/tex]

For the given case, we've got a circular pond with a radius of 7 ft.

Since 1 m ≈ 3.2808 ft, thus,

dividing both the sides by 3.2808, we get

[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]

Therefore, the radius of the considered circular pond is approximately 2.1336 meters.

Using the formula for area of circle to find the area of circular pond, we get:

[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]

14.294 rounded to nearest hundredth would be 14.29

(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th  place).

Thus, the area of the circular pond in consideration is 14.29 square meters approximately.

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Please help with this.

Answers

Solution:

A shape is only called symmetrical when:

A mirror line can be drawn on it.

A shape is called non-symmetrical when:

A mirror line can't be drawn on it.

This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.

A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.

And it is not symmetrical when the mirror image changes.

The shape we are given is not symmetrical because when we see its mirror image, The mirrored image is different...~

what is the rounded tenth of 586

Answers

Answer:

The answer is 590.

Answer:

The nearest tenth would be 590 since you round 86 to the nearest tenth. 86 is closer to 90 instead of 80, once again your answer is 590.

Step-by-step explanation:

In Fairbanks, Alaska, the temperature on Tuesday at noon was -18℉. The temperature then decreased 1.2℉ each hour for the next 7 hours.
In Grand Forks, North Dakota, the temperature on Tuesday at 7pm was
¾ the temperature recorded in Fairbanks, Alaska at that same moment in time.
What is the temperature in Grand Forks, North Dakota?

Answers

Answer:

-19.8

Step-by-step explanation:

In Fairbanks     ,         at noon    -18

it decreased with 1.2 per hour for the next 7 hours .

so in total  it decreased by  1.2 x 7 =  8.4

so at 7 pm it was   -18-8.4   =    -26.4

In Grand Forks at  7 pm          3/4 of  -26.4   =   -19.8    

To find solutions of equations should we look for x-intercepts or y-intercepts in a graph

Answers

no one is going to be a great way to start a
Start with the y-intercept then find the slope. This will help you in the future. Hope this helps.
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