9. Find the missing values for the following similar figures

9. Find The Missing Values For The Following Similar Figures

Answers

Answer 1

The missing values of the similar triangles is x = 20/3 and y = 4.5

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔXYZ

Now , the corresponding sides are

15 / 10 = y / 3

Multiply by 3 on both sides , we get

y = 45 / 10

y = 4.5

Now , for the similar triangles , corresponding sides of similar triangles are in the same ratio

And , 2 / 3 = x / 10

Multiply by 10 on both sides , we get

x = 20/3

Hence , the similar triangles are solved

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Related Questions

pls help !!!!!!!!!!!

Answers

20.2

Volume of sphere = 4/3*pi*r^3

34500 = 4/3*pi*r^3
25875 = pi*r^3
8240.445 = r^3
r = 20.2

On three different days at her job, Sue earned $27, $33, and $49. She needs $100 to buy a desk for her computer. If she buys the desk, how much money will she have left over?

Answers

if sue buy the desk, $9 money will be left over.


Find the value of x.

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The angles within the shape will add to 360 degrees. So:

102+100+92+5x+16=360

5x+310=360

5x=50

x=10

It's asking me m angle B = 70 and to find m angle A.

Answers

Answer:

x = 40

Step-by-step explanation:

Base angles of isosceles triangle are congruent

angle c = 70

angle b = 70

70+70+x = 180

solve for x

Surfave area of cylinder Round to the nearest tenth

Answers

im pretty dure the area is 62.83

Find P(x) in the following equation.
23 + 3.02 – 43 – 4 = P(2)(x + 2) + 8

Answers

it’d be the last (4th) option. x^2+x-6

first you’d subtract 8 from both sides, and then divide by x+2

Bob has decided to make a heart-shaped cake using a square pan that is 9 inches by 9 inches and a circular pan with a diameter of 9 inches. Both pans are 2 inches tall. The picture shows the top view of the cake. Find the surface area of the cake including the bottom.

Answers

Answer:

I d k sorry just here for the point heh

I have the exact same question

Cheese Block
10 inches
4 inches
6 inches
What is the volume of the block of cheese?
A 120 cubic inches
В.
46 cubic inches
С.
240 cubic inches
D
64 cubic inches

Answers

C: 240 cubic inches

10*4*6=240
The answer is C. 240 Cubic inches I hope this help you

1,600 over 2,500 ×100 over 1​

Answers

Answer:

Step-by-step explanation:

Ito po hehe

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.

Answers

B c and f because each can go into each one

Answer:

1 : root(3)

root(3) : 3

3 : 3root(3)

or

B, F, D

Step-by-step explanation:

What is the length of the hypotenuse

Answers

Answer:

10

Step-by-step explanation:

8 to the second power is 64

6 to the second power is 36

36+64=100

the square root of 100 is 10

so 10 is the length of the hypotenuse

Hope this helps!

What is x?
8x+6=5x+30

Answers

Answer: x= 8
Explanation:
8x+6= 5x+30
-5 5
3x+6= 30
-6 -6
_3x_=_24_ divide
3 3
X = 8

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8x+6=5x+30}[/tex]

[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]

[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]

[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]

[tex]\rightarrow\mathsf{3x +6=30}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{3x +6-6=30-6}[/tex]

[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]

[tex]\mathsf{30-6=\bf 24}[/tex]

[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]

[tex]\mathsf{3x = 24}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]

[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]

[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Why is violence more likely to occur in a store on Black Friday? no bot or scam

Answers

Answer:

Because people fight over the best deals that the store would have to offer... hell with it i chose violence when there were 3 black shirts just because i run a designer company.

Step-by-step explanation:

How many 2-digit numbers can be formed using only the digits 2, 3, 5 and 6, if the numbers are not repeated within a number?

No links please!​

Answers

(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.

EASY MATH PLEASE HELP!

I WILL GIVE BRAINLIEST!

QUESTION: Find the area.

Answers

Answer:

14yd^2

Step-by-step explanation:

What age group are considered your peers? Select one: a. Children significantly younger than you b. Adolescents who are similar in age to you c. Adults who are your parents age d. Adults who are your grandparents age. Please answer fast :)

Answers

Answer:

B) Adolescents who are similar in age to you

Step-by-step explanation:

Answer:

b. adolescents who are similar in age to you.

Rewrite in vertex form y=x2+2x+6

Answers

Answer:

y = (x+1)^2+5

Step-by-step explanation:

Add or subtract from both sides to complete the square;

y=x^2+2x+6; Subtract 5 from both sides

y-5 = x^2+2x+1; Factor;

y - 5 = (x+1)^2; Add 5 back to both sides;

y = (x+1)^2+5

Answer:

y=(x+1)²+5

Step-by-step explanation:

y=x^2+2x+6

a=1; b=2;c=6

subtract 6 from both sides: x^2+2x= -6

complete the square by using the equation (b/2)^2 and add to both sides: x^2+2x+1=-6+1

simplify: x^2+2x+1=-5

find the factors of 1 that add up to 2: 1 and 1

(x+1)(x+1)=-5

add 5 to both sides and simplify

y=(x+1)^2+5

G is a trigonometric function of the form g(x)=a sin(bx+c)+d The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3). Find the formula for g(x). Give an exact expression.

Answers

Answer:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

Step-by-step explanation:

The function has the form:

g(x) = a*sin(b*x + c) + d

We know that:

The midline is at (-1, 6)

The midline is the value of g(x) when the sin(x) part is equal to zero

Then the midline is y = 6 = d

g(x) = a*sin(b*x + c) + 6

And from this we also know that:

sin(b*-1 + c) = 0,

We also know that the minimum is at (-3.5, 3)

The minimum is the y-value when the sin(x) part is equal to -1

Then

sin(b*-3.5 + c) = -1

And:

g(-3.5) = 3 = a*(-1) + 6

3 = -a + 6

a = -3 + 6 = 3

The equation is something like:

g(x) = 3*sin(b*x + c) + 6

To find the values of b and c, we need to use the two remaining equations:

sin(b*-3.5 + c) = -1

sin(b*-1 + c) = 0

We also know that:

Sin(0 ) = 0

sin( (3/2)*pi) = -1

where pi = 3.14

Then we can just write:

b*-1 + c = 0

b*-3.5 + c = (3/2)*pi

From the first one, we get:

-b + c = 0

c = b

Replacing that on the other equation we get:

c*-3.5 + c = (3/2)*pi

c*(-3.5 + 1) = (3/2)*pi

c*(-2.5) = (3/2)*pi

c = (3/2)*pi/(-2.5)

and:

-2.5 = -5/2

c = (3/2)*(-5/2)*pi = (-15/4)*pi

Then the equation becomes:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

The  trigonometric function equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

The function has the form:

             [tex]g(x)=a sin(bx+c)+d[/tex]

The midline is at (-1, 6)

So, the midline is y = 6 = d

[tex]g(x)=a sin(bx+c)+6[/tex]

We know that the midline is the value of g(x) when the sin(x) part is equal to zero

Given that The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3).

[tex]sin(-1*b + c) = 0,[/tex]

The minimum is the y-value when the sin(x) part is equal to -1

       [tex]sin(-3.5*b + c) = -1[/tex]

  Since,   [tex]g(-3.5) = 3 = a*(-1) + 6[/tex]

                 [tex]a = -3 + 6 = 3[/tex]

Now equation become,

            [tex]g(x) = 3*sin(b*x + c) + 6[/tex]

To find the values of b and c, we need to use the two remaining equations:

             [tex]sin(-3.5b + c) = -1=sin( (3/2)* \pi)\\\\ -3.5b + c = (3/2)* \pi[/tex]

            [tex]sin(-1b + c) = 0=sin(0)\\\\-b+c=0\\\\b=c[/tex]

Substituting b = c in above equation and [tex]\pi=3.14[/tex]

We get,

            [tex]-3.5c + c = (3/2)*\pi\\\\-2.5c=4.71\\\\c=-1.88[/tex]

also    [tex]b=-1.88[/tex]

Therefore, equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

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Can someone teach me how to solve this please

Answers

Multiply it all together

Peter made 191 cups of chili for the
football game. If 14 cups of the chili were
eaten, how many cups of chili did Peter
have left over?

Answers

The answer is 171. 191-14=171

plssssssssss helpppppppppppppp will give brainliest

Answers

Answer:

The median of the data is 3.5

8.612 a rational number

Answers

Answer:

yes it is if we can write decimal numbers in the form of a fraction then it is a rational number

Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample of 243 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.2 and 0.39?

Answers

Answer:

Following are the solution to the question:

Step-by-step explanation:

[tex]p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013[/tex]

z-score for [tex]\hat{p}=0.2[/tex] will be:

z score for will be:

[tex]z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76[/tex]

[tex]P(0.2 <\hat{p}< 0.39) = P(-176.92 < z < -30.76)[/tex] using excel method to calculate the value.

$16,940
1 point
19. Eddie O'Neil found a car advertised at a local used-car dealership for
$34,000. The car is clean and in good condition. Its average retail value is
$33,400. It has air-conditioning valued at $840 and leather seats valued at
$200, but it does not include a CD player, which is valued at $100. The
used-vehicle guide indicates that $1.450 should be deducted for excessive
mileage on the car. What is the average retail price for this vehicle? *
$32,890
$33,971
$34,501
$34,890

Answers

Answer:

A. $32, 890

Step-by-step explanation:

add 840+200= 1040

33400+1040= 34440

34440 - (1450+100)=

32,890

Given square ABCD, what is the length of AD?

Answers

since it's a square, all sides are equal
therefore,
3x - 5 = x + 1
2x = 6
x = 3

sub x into AD, which is 3x-5
= 3(3) - 5
= 9 - 5
= 4

therefore AD is 4 units

. In which of the problems below would applying the multiplicative inverse be the best first step in determining a solution to the equation?​

Answers

Answer:

B

Step-by-step explanation:

In The rest of the problems, you add or subtract first.


What is the quotient of 388.25 : 6.25?

Answers

Answer:

62.12

Step-by-step explanation:

Find the slope. Please reply if you can answer.

Answers

Answer:

-3/1

Step-by-step explanation:

Plz help. If Mary bought 12 of the Brand X batteries, how many of them lasted less than 15 hours? (Please show how you calculated this to get your answer)

Answers

Answer:

I think it should be 1 hour ~~ (Not so sure)

Step-by-step explanation:

The 35 batteries are the conductors we need to stay alive and make things work.

We have given that,

If Mary bought 12 of the Brand X batteries.

We have to determine how many of them lasted less than 15 hours.

What is the meaning of the data model?

The data models are visual representations of an enterprise's data elements and the connections between them. By helping to define and structure data in the context of relevant business processes, models support the development of effective information systems.

The batteries are the conductors we need to stay alive and make things work.

Therefore from the graph, we have the answer is 35 batteries.

The 35 batteries are the conductors we need to stay alive and make things work.

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How does the graph of g(x)=1/x+4-6 compare to the graph of the patent function f(x)=1/x? O g(x) is shifted 4 units right and 6 units up from f(x). O g(x) is shifted 4 units right and 6 units down from f(x). O g(x) is shifted 4 units left and 6 units up from f(x).
O g(x) is shifted 4 units left and 6 units down from f(x).

Answers

the graph and the x units down from y and 6x =c
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This narrative does not establish a clear focus because the details about why the narrator needs a savings account do not relate to the main story.B. This narrative does not establish a clear focus because the narrator never explains what chores need to be done in order to add money to the savings account.C. This narrative successfully establishes a clear focus because all the details contribute to developing the setting of the story.D. This narrative successfully establishes a clear focus because all the details concentrate on the narrator earning money to put in the savings account. temperature layer of the atmosphere with strong, steady winds and few weather changes.What does it called? what is the decinal for this word for thirty four hundereth Help plz:)))Ill mark u Brainliest PLEASE I NEED NOW! PLEASE ANSWER CORRECTLY! I WILL GOVE BRANLIEST AND 10 POINTS! Read the following passage:Molten rocks deep inside Earth cool and form Rock A. 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