50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
3 \sqrt{10}310​
and y=
2 \sqrt{10}210​
but I'm not sure how to get there...​

50 POINTS: Please Help Thank You So Much!! (Image Attached) The Polygons Are Similar. Find The Values

Answers

Answer 1

Answer and Step-by-step explanation:

These are right triangles, and the second triangle has two known sides. We can use the Pythagorean theorem to find y.

[tex]A^2 + B^2 = C^2[/tex] is Pythagorean theorem.

[tex]3^2 + y^2 = 7^2\\\\\\9 + y^2 = 49\\\\\\y^2 = 40\\\\\\y = 2\sqrt{10}[/tex]

Now, we want to find x.

We know the triangles are similar.

4.5 divided by 3 is 1.5. This is the scale factor for the triangle.

If we multiply y by 1.5, we will get 5x.

[tex]5x = 1.5(2\sqrt{10} )\\\\\\5x = 3\sqrt{10} \\\\\\Divide.5.on.both.sides.to.get.x.\\x = \frac{3\sqrt{10} }{5}[/tex]

Those are the answers and how to get them.

#teamtrees #PAW (Plant And Water)


Related Questions

PLZ HELP ASAP. WILL GIVE BRAINLIEST IF CORRECT
What is the length of the unknown side of the right triangle using the Pythagorean Theorem?
7
24
25
31

Answers

Answer:

25 is the answer.

Step-by-step explanation:

Answer:

25 because 7 squared plus 24 squared is 625 then you find the square root which is 25.

Estimate the values to complete the table.

Answers

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26

tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

             = sin(∠C)

             = 0.26

sin(∠A) = sin(90 - ∠A)

            = cos(∠A)

            = 0.97

tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]

            = 3.73

Angle        [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]                 [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]                    [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

  A                    0.26                       0.97                             3.73

A.Supplementary
B.None
C.Complementary
D.Vertical

Answers

Answer:

A. the answer is supplementary

If you can help, u r much appreciated : )))

Answers

I'm so sorry i wud help you but unfortunately I can't see the question fully!

Answer:

Is that all it tells you because I see no information to help answer the question

I see "month" and I see  "Number of movie"

Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Answers

Answer:

[tex]22.21\ \text{mph}[/tex]

[tex]22.2\ \text{mph}[/tex]

Step-by-step explanation:

[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]

[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]

[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing

At 25 minutes

[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]

[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]

[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]

Distance between the two people is

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

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].

At 35 minutes

[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]

[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]

[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]

Distance between the two people is

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

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].

Write the equation in slope-intercept form.
8y - 3x = 16

Answers

y= 3/8+2

This is the answer because in the equation 8y-3x+16 you would re-write it as 8y=3x+16 but to write it in slope-intercept form, you need to get the 8 away from the y. To do this you divide y by everything; creating y=3/8x+2 ( slope intercept form).

HEEELLLP!!
how many times bigger is 24,137,569 than 83,521
and happy Easter

Answers

Answer:

24,05r,048

Step-by-step explanation:

i think alls you do is take away the big number from ligtoe number if so ypu would get 24,054,048

Answer:

24,137,569 is 289 times bigger than 83,521

Step-by-step explanation:

24,137,569/83,521= 289

What are the solutions to the quadratic equation 2x2 - 8x-24 = 0?
A. X = -2 and x = 6
B. X=-3 and x = 8
C. X= -6 and x = 4
D. x= -4 and x = 6

Answers

Answer:

it is A . I hope its helpful

thx in advance for the help

Answers

Answer: [tex]x\geq 13[/tex]

Step-by-step explanation:

Given

The inequality is  [tex]2x-7\geq 19[/tex]

adding both side 7

[tex]2x-7+7\geq 19+7\\2x\geq 26[/tex]

Multiply both sides by [tex]\frac{1}{2}[/tex]

[tex]\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13[/tex]

the shaded region in the figure indicates the solution set.

(a)whats is the value of x


(b) what is the measure of angle B

Answers

[tex]cdb = 8 \\ x = 4 \\ by \: pythagoras \: theorem \\ 8 {}^{2} = 4 {}^{2} + x{}^{2} \\ 64 = 16 + x {}^{2} \\ 64 - 16 = x {}^{2} \\ 48 = x{}^{2} \\ \sqrt{48 } = x\\ angle \: b = 60 \\ angle \: of \: equilateral \: triangle \: equal \: 60[/tex]

please help ASAPPPPPPPPP

Answers

Answer:

++hhhhhhhhhhhhhhhhhh

In 2015, Macon County had a population of 53,792. The population increases by 2.5% annually. Which function can be used to model the population t years after
2015?

Answers

Answer: The answer is B

Step-by-step explanation: I took the test.

What type of polynomial is this

Answers

Answer:

trinomial..............

Caden earn a total of $10 for two hours of yardwork. After join a total of three hours of yard work, how much money will Kayden have earned? Assume the relationship is directly proportional.

Answers

Answer:

$25

Step-by-step explanation:

Its $5 dollars for each hour so, the two hours together are $10. With the 3 hours Caden did, he earned $25.

Answer:  25

then Step-by-step explanation: if 10 divided by 2 is five, ( 5$ an hour) then just add three more fives i think

PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.

Answers

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

[tex]y=a(1+r)^t[/tex]

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get

[tex]y=44000(1+0.05)^{20}[/tex]

[tex]y=44000(1.05)^{20}[/tex]

[tex]y=116745.099026 [/tex]

[tex]y\approx 116745.10 [/tex]

Therefore, the cost of living in 20 years is about $116745.10.


The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?

Answers

Answer:

pretty sure its 18

Step-by-step explanation:

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36

Answers

Answer:

D

Step-by-step explanation:

27 is 72% of what number?

Answers

Answer:

37.5

Step-by-step explanation:

37.5 · 0.72 = 27

Answer:

37.5

Step-by-step explanation:

72%=0.72

0.72x=27

x=27/0.72

x=37.5

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

Answers

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2[tex]\pi[/tex]rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2[tex]\pi[/tex]rh

                         = 2 x [tex]\frac{22}{7}[/tex] x 2 x 14

                         = 2 x 22 x 2 x 7

                         = 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

What is the arc length of the shaded region of the circle to the newest centimeter?

Answers

l=theta (in radians) x radius
So 28 degrees =7pi/45
Then 7pi/45 x 4 =1.954768762 = 2cm (to nearest cm)

write 20.5×10^-5 in standard form. please help​

Answers

Answer:

the answer is 2.05×10^-4

write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2

Answers

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

Given

[tex]m = 2[/tex]

[tex]b = 2[/tex]

Required

Write equation in slope intercept form

An equation in slope intercept form is:

[tex]y = mx + b[/tex]

Substitute values for m and b

[tex]y = 2x + 2[/tex]

(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft

A.less than 6 but more than 20

B.more than 20 but less than 6

C.more than 6 but less than 20

Answers

Answer:

A.less than 6 but more than 20

Please help me i dont understand this

Answers

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

Please i need help ASAP

What is the range? ​

Answers

Answer:

your range is -9 to positive 5

Step-by-step explanation:

range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3

Mel randomly selects a coin 150 times selecting a dime 30 times, the experimental probability is 1/5 what is the theoretical probability?

Answers

Answer:

Step-by-step explanation:

We can calculate probability by looking at the outcomes of an experiment or by reasoning What is the theoretical probability that a fair coin lands on heads? Choose 1 answer:  Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

Hope this helps.

Please give me brainliest if it is correct

Does anyone wanna play iMessage games

Answers

yessss

lets

play

rn!!!!!!

BRAINLIEST TO CORRECT

Answers

Answer:

4519.5

Step-by-step explanation:

so sorry if that's not correct.

Find the mean of 9,5,10 graphically will mark Brainliest if correct ( no files or links)​

Answers

8, to find the mean you need to add all the data points in this case 9,5, and 10 then divide with the number of data points in this which case there are 3 data points. So to find the answer you would add 9+5+10 and you’d get 24 you’d then divide 24 with 3 and get the answer which is 8

Answer:

the answer to the question is 8

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