***CAN SOMEONE HELP ME PLEASE!!***

The polygon in each pair are similar. Find the missing side length

***CAN SOMEONE HELP ME PLEASE!!***The Polygon In Each Pair Are Similar. Find The Missing Side Length

Answers

Answer 1

Answer:

45 / 27 = 30 / 18 = x / 24

x = 40

Step-by-step explanation:

Hi there!

The question here states that the two polygons are similar

Polygons that are similar have similar side length ratios.

If we want to find a side length we must create a proportional relationship

We are already given a partial proportional relationship.

Which is...

45 / __ = __ / 18 = x / __

First let's fill in the blanks

The side that is corresponding to the side with a length of 45 has a length of 27. So it would be 45/27

The side that is corresponding to the side with a length of 18 has a length of 30. So it would be 30/18

The side corresponding to side labeled "x" has a length of 24. so it would be x/24

So we would have

45 / 27 = 30 / 18 = x / 24

Now let's find x

We only need 2 ratios ( the one including x of course, and the other one can either be 30/18 or 45/27)

30 / 18 = x / 24

Now let's solve for x

Cross multiply

30*24=720

18*x=18x

We now have 18x = 720

Divide both sides by 18

18x / 18 = x

720 / 18 = 40

x = 40

To check our answers we can see if the ratios are similar

If they are then we are correct

45/27 = 1.66

30/18 =1.66

40/24 = 1.66

They are all equivalent meaning that our answers are correct


Related Questions

How do I find out the square root of a perfect square

Answers

The square root of a number (let’s say 25) refers to that number which when multiplied by itself will give the result as the given number (i.e. 25). In our case, the number is 5. We see that 5, when multiplied by itself (i.e. 5), will result in 25. Therefore, 25 is known as the square of 5, and 5 is known as the square root of 25.

Note:

(1) Multiplying two negative numbers will also result in a positive number. Therefore, (-5)*(-5) is also equal to 25. So, -5 is also a square root of 25. But, in general, we assume the square roots of a positive number to be a positive number.

(2) The square root of 1 is always 1.

We represent the square root of a number by a radical sign (√). Example: √36 = 6 (because 6 x 6 = 36)

Note:

(3) Finding the square root of a negative number (i.e. when the negative sign is inside the radical sign i.e. √-36) is a bit complex and is out of context for this article.

(4) if the minus sign is given outside the radical sign (i.e. -√36), then the answer will always be -6.



There are two types of numbers:

Numbers which are a perfect square: Product of an integer with itself. For example, 9*9 = 81.

Numbers which are an imperfect square: Multiplying any number with itself. For example, 2.236*2.236 = 5.

Finding the square root of an imperfect square is a little more difficult than finding the square root of a perfect square number. We will be covering both the topics in this particular article. But before that, we have to understand what square roots are used for.

For example, Rhea is looking for an apartment in Delhi. She is looking for a 2 bedroom apartment where she can live with her sister. A few phone calls later, she has shortlisted two places after seeing their pictures online. One is 1600 square feet with a balcony and the other is 2500 square feet with two balconies. Now, she can easily gauge the size of the first apartment as 40 feet by 40 feet. The second apartment would be 50 feet by 50 feet. This was just an example. Square roots are used for multiple purposes like these.



Now coming to our main topic, i.e., how to find the square root of a number?

(A) Perfect Square Numbers:-

Before finding the square roots of a number, we have to know the squares of the first 9 natural numbers.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

If p:q=3:4 and q:r=14:9, find p:r

Answers

Answer:

7/6

Step-by-step explanation:

p=3/4*q

q=14/9*r

so p=3/4*14/9r=7/6r

How is karl Pearson coefficient of skewness is differ from bowley's coefficient?​

Answers

Answer:

where is the rest of the question??

Step-by-step explanation:

Find the length of PR from the given figure ( step by step ). ​

Answers

Answer:

PR = 39 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² + PQ² = QR² , that is

PR² + 80² = 89²

PR² + 6400 = 7921 ( subtract 6400 from both sides )

PR² = 1521 ( take the square root of both sides )

PR = [tex]\sqrt{1521}[/tex] = 39

Answer:

[tex]PR=39[/tex]

Step-by-step explanation:

The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex]a^2+b^2=c^2[/tex]

[tex]PQ^2+PR^2=QR^2[/tex]

[tex]80^2+PR^2=89^2\\[/tex]

Simplify,

[tex]80^2+PR^2=89^2\\[/tex]

[tex]6400+PR^2=7921[/tex]

Inverse operations,

[tex]6400+PR^2=7921[/tex]

[tex]PR^2=1521\\\\PR=39[/tex]

plzzz answer asap!! The SkyWheel has a diameter of 181 feet. What is the radius? (Don't round and just write the numerical answer, no units)

Answers

Answer:

181 ÷ 2

= 90.5 feet

...........

sin 0=20/29. Find tan 0.

Answers

d) tan theta = 20/21

Using soh cah toa and the pythagorean theorem, the final side of 21 was calculated to give tan = 20/21


During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?

Answers

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

David’s hourly rate is 106 dollars an hour

Can someone help me out with this

Answers

Diameter=d=23.4in

We know

[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]

[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]

[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]

[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]

Which graph represents the function f(x)=|x−1|−3 ?

Answers

Answer is B, (the one on the top right)

Someone please help! I have spent lots of time on this and I’m still confused

Answers

Answer:

its the 3rd choice.

Step-by-step explanation:

Firstly, we find angle BDC (180-90-30=60)

Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.

And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3

Now, we find angle BAC (180-90-(30+15)=45)

Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.

So since AB-DC=AD

14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)

29. If (x, 5) is a solution to the equation 3x + 5y = -5, what is the value of x?
A.-10
B.-4
C. 2
D. 6​

Answers

Answer:

the answer is -10

Step-by-step explanation:

x=x

y=5

then

3x+5y=-5

3x+5*5=-5

3x=-5-25

3x=-30

x=-30/3

•°•x=-10

Answer:

A

Step-by-step explanation:

3x+5*5=-5

x=-10

Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer
351.86

Detailed explanation:

Kyle brough a case of 24 12 ounce bottles of water.He drank the same amount of water each day and finished the case after 3 days.How many onces of water did kyle drink each day?

Answers

Answer:

96 ounces each day

Step-by-step explanation:

Divide the 24 bottles by 3

24/3 = 8

8bottles per day

8 bottles *12 ounces per bottle

96 ounces each day

What is the probability that you roll at least one 3 in your dice? Convert your answer to
decimal form, then round to 3 decimal places,

Answers

Answer:

0.167

Step-by-step explanation:

1 dice has 6 faces, 2 dice will have a total of 12 faces

1 dice has 1 face with a 3 on it, so 2 dices will have 2 total 3s on them.

2 /12 = 1/6 = 0.16666666666

Rounded to 3 d.p = 0.16666

= 0.167

Answered by Gauthmath

Identify the correct explanation and the similarity statement for the similar triangles.

A: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Subt. Thm., m∠C = 30°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.

B: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅ , m∠B = m∠C.
This gives m∠C = 75° by substitution.
Then, by the Δ Sum Thm., m∠A = 30°.
Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.

C: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠C.
This gives m∠C = 30° by Substitution.
Then, by the Δ Subt. Thm., m∠A = 75°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.

D: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Sum Thm., m∠C = 30°. Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.

Answers

Answer:

Option B

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠B = m∠C = 75° [Isosceles triangles]

By applying triangle sum theorem,

m∠A + m∠B + mC = 180°

m∠A + 75° + 75° = 180°

m∠A = 180° - 150°

m∠A = 30°

In triangle PQR,

m∠P = m∠Q [Isosceles triangle]

By applying triangle sum theorem,

m∠P + m∠Q + m∠R = 180°

2(m∠P) + 30° = 180°

m∠P = 75°

m∠P = m∠Q = 75°

In ΔABC and ΔRPQ,

m∠B ≅ m∠Q [Given]

m∠C ≅ m∠R [Given]

Therefore, by AA property of similarity of two triangles, both the triangles will be similar.

ΔABC ~ ΔRPQ

Option B will be the answer.

Can someone answer all these questions

Answers

If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:

1x7 2x6 3x5 4x4 5x3 6x2 7x1

Hey can anyone help me pls

Answers

Answer:

6.8=6 8/5

.

.

.

.

.

.

.

hope it help

Yes and be careful on fort mind I’m going fishing again for

The data set represents the total number of pencils each student in a class needs to sharpen.

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Which box plot correctly represents the data?

A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

Answers

Given:

The data set is:

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

To find:

The correct statement that represents the box plot of the data correctly.

Solution:

We have,

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Divide the data in 2 equal parts.

(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)

Divide each parenthesis in 2 equal parts.

(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)

Here,

Minimum value = 0

First quartile = 1

Median = 3

Third quartile = 6

Maximum value = 9

A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

Therefore, the correct option is D.

Answer:

its d

Step-by-step explanation: my yt Tray Clayps

find the surface area of this cylinder??​

Answers

Answer:

4

Step-by-step explanation:

A=ch

then,

2ft×2ft

4ft

A man bought 550 oranges at 60 paisa each and 240 oranges at 50 paisa each. If he sold them at the rate of 10 for Rs 9. what was his profit percentage? Please show step by step .​

Answers

Answer:

hence the profit percent is 58%.

Let the lengths of each side of △ABC having area equal to 1 be as follows: AB = 2, BC = a and CA = b. Let CD be a perpendicular line from point C to AB. Answer the following questions.
(1) Given AD = x, write a²+(2√3-1)b² in the form of x.
(2) Find the value of x at which a²+(2√3 - 1)b² is the lowest and the magnitude of ∠BAC.
Need help! Please show your work too. Thanks!

Answers

Answer:

Part 1)

[tex]\displaystyle \left((2-x)^2 + 1)\right) + (2\sqrt{3} - 1 ) \left(x^2 + 1\right)[/tex]

Or simplified:

[tex]\displaystyle = 2\sqrt{3}x^2 - 4x + 4 + 2\sqrt{3}[/tex]

Part 2)

The value of x for which the given expression will be the lowest is:

[tex]\displaystyle x = \frac{\sqrt{3}}{3}\approx 0.5774[/tex]

And the magnitude of ∠BAC is 60°.

Step-by-step explanation:

We are given a ΔABC with an area of one. We are also given that AB = 2, BC = a, and CA = b. CD is a perpendicular line from C to AB.

Please refer to the diagram below.

Part 1)

Since we know that the area of the triangle is one:

[tex]\displaystyle \frac{1}{2} (2)(CD) = 1[/tex]

Simplify:

[tex]\displaystyle CD = 1[/tex]

From the Pythagorean Theorem:

[tex]\displaystyle x^2 + CD^2 = b^2[/tex]

Substitute:

[tex]x^2 + 1 = b^2[/tex]

BD will simply be (2 - x). From the Pythagorean Theorem:

[tex]\displaystyle (2-x)^2 + CD^2 = a^2[/tex]

Substitute:  

[tex]\displaystyle (2-x)^2+ 1 = a^2[/tex]

We have the expression:

[tex]\displaystyle a^2 + (2\sqrt{3} - 1) b^2[/tex]

Substitute:

[tex]\displaystyle = \boxed{\left((2-x)^2 + 1)\right) + (2\sqrt{3} - 1 ) \left(x^2 + 1\right)}[/tex]

Part 2)

We can simplify the expression. Expand and distribute:

[tex]\displaystyle (4 - 4x + x^2 + 1)+ (2\sqrt{3} -1)x^2 + 2\sqrt{3} - 1[/tex]

Simplify:

[tex]\displaystyle = ((2\sqrt{3} -1 )x^2 + x^2) + (-4x) + (4+1-1+2\sqrt{3})[/tex]

Simplify:

[tex]\displaystyle = 2\sqrt{3}x^2 - 4x + 4 + 2\sqrt{3}[/tex]

Since this is a quadratic with a positive leading coefficient, it will have a minimum value. Recall that the minimum value of a quadratic always occur at its vertex. The vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 2√3, b = -4, and c = (4 + 2√3).

Therefore, the x-coordinate of the vertex is:

[tex]\displaystyle x = -\frac{(-4)}{2(2\sqrt{3})} = \frac{1}{\sqrt{3}} =\boxed{ \frac{\sqrt{3}}{3}}[/tex]

Hence, the value of x at which our expression will be the lowest is at √3/3.

To find ∠BAC, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan \theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan \angle BAC = \frac{CD}{x}[/tex]

Substitute:

[tex]\displaystyle \tan \angle BAC = \frac{1}{\dfrac{\sqrt{3}}{3}} = \sqrt{3}[/tex]

Therefore:

[tex]\displaystyle\boxed{ m\angle BAC = \arctan\sqrt{3} = 60^\circ}[/tex]

What are the solutions to the equation 3(x – 4)(x + 5) = 0

Answers

Answer:

x=4

x=-5

Step-by-step explanation:

in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.

123 * 29382 * 8139* 0 = 0

x-4 = 0

x = 4

x+5 = 0

x=-5

what is difference between -0.4 and 44.4 a) 40 b) 44 c) -44 d)44.8

Answers

Answer:

Step-by-step explanation:

44.4--0.4=-44

what is the length of the third side triangle?

Answers

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

Good Luck! :)

[tex]{ \boxed{ \sf \color{blue}{answer}}}[/tex]

x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

___________________

Teorema pythagoras

Phythagorean theorem HELPPPP PLSSSSS ASAPPP

Answers

Answer:

5

Step-by-step explanation:

We know that we can use the Pythagorean theorem

a^2 + b^2 =c^2

where a and b are the legs and c is the hypotenuse

one of the legs is 12 and the hypotenuse (diagonal) is 15

a^2 + 12^2 = 15^2

a^2 +144 = 169

a^2 +144-144 =169-144

a^2 = 25

Taking the square root of each side

sqrt(a^2) = sqrt(25)

a = 5

Answer:

l = 9 cm

Step-by-step explanation:

Using Pythagoras' identity in one of the right triangles with legs width w, length l and hypotenuse h , then

l² + w² = h²

l² + 12² = 15²

l² + 144 = 225 ( subtract 144 from both sides )

l² = 81 ( take the square root of both sides )

l = [tex]\sqrt{81}[/tex] = 9

Find SP where MP=Rs875 and discount =Rs75

Answers

Answer:

SP is Rs 800.

Step-by-step explanation:

MP = Rs 875

Discount = Rs 75

so

SP = MP - discount

= Rs 875 - Rs 75

= Rs 800

Write an equation of a line with the given slope and y-intercept.

m = , b = 2

Answers

Answer:

Equation is y = mx + 2

Step-by-step explanation:

General equation of line:

[tex]{ \boxed{ \bf{y = mx + b}}}[/tex]

Substitute in considerance of the question:

[tex]{ \sf{ y = mx + 2}}[/tex]

If m is given, substitute for m to the answer.

I need help to find m =

Answers

Answer:

hlo buddy

are u free now.. nhjm....

Put the steps In order

Answers

1-4-2-3……………….don’t understand these 20 character limits

in a data ,range is 17 and coefficient of range is 0.2 find the smallest term of the data.
I will make brainelist to the best answer ​

Answers

Answer:

Step-by-step explanation:

Let largest value of data be L

and smallest value of data be S.

We are given that the range and coefficient of range of the data are 17 and 0.2 respectively.

Range formula is given by = Largest value - Smallest value

                   17  =   L - S

                  L = 17 + S ---------- [Equation 1]

Coefficient of range formula = (Largest - Smallest) ÷ (Largest + Smallest)

                                       0.2   =    l-s/l+s

                                      0.2 = 17/l+s

                 L + S = 17/0.2 = 85

So,    L + S = 85

       17 + S + S = 85   {using equation 1}

           2*S = 80

             S = 80/2 = 40

Putting value of S in equation 1, we get L = 20 + 40 = 60

Therefore,  Largest value, L = 60

               smallest value, S = 40

                         

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Step-by-step explanation:

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The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation. The Nearside Co. just paid a dividend of $1.65 per share on its stock. The dividends are expected to grow at a constant rate of 5 percent per year, indefinitely. Investors require a return of 12 percent on the stock. a. What is the current price Can someone please help me with this In the picture below, which lines are lines of symmetry for the figure? A. 1 and 3B. 2 and 4C. 1, 2, and 3D. none What is 9x + 100 = 829 We use __force to do different force. 1) pulling 2)pushing 3)gravity 4)muscular Two children (each having a mass of 60 kg) are standing on the edge a merry-go-round (mass of 140 kg) as it spins with an angular velocity of 0.75 rad/s. The two children jump off the merry-go-round. What is the angular velocity of the merry-go-round after the children have jumped off tm v d th hin qu trnh ch , qu trnh ti hin , qu trnh thc tp, qu trnh cng c Kt lun s thch ng tm l ca sinh vin nm nht 2xy+x+2y answer please A buyers agent represents the buyer, and the sellers agent represents the broker true or false? 1. Calpurnia2. Cassius3. Brutus4. Marullus5. Antony About how many cells are in the human body?You can assume that a cell is a sphere with radius 10-3cm and that the density of a cell is approximately the density of water which is 1g/cm3. A local grocery store receives strawberries from suppliers in Florida and California. Currently there are 18 strawberry containers on the shelf and 11 of them are from Florida. A shopper selects three containers to purchase. What is the probability that exactly one of the containers is from the Florida supplier What is suffrage?A. Freedom for slavesB. The right to run for officeC. The right to voteD. A political party that's the .... flim i've ever seen Please help me with this question! We/learn/mathernatics/since/we/grade 1. Under IFRS, when a lessee recognizes a balance sheet asset and liability for a new lease: the asset and liability are equal. the asset is typically greater than the liability. the liability is typically greater than the asset. Select all the statements that are true of Spanish-speaking countries. El gazpacho es una sopa espaola.Las enchiladas es una comida mejicana.Las enchiladas son una comida argentina.El gazpacho es una comida argentina.