3. Which property of similarity can be used to prove triangles STR and VWU are similar?

Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.

✧ Let us assume :

Seena's age be x

Her mother's age be 4x

✧ After 5 years :

Seena's age = x + 5

Her mother's age = 4x + 5

✧ Ratio of age after 5 years :

Seena's mother = 3

Seena's ratio = 1

Hence, the equation is :

[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]

By cross multiplying we get

[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]

[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]

[tex] \looparrowright \frak{x = 10}[/tex]

Hence, the ages are

Seena's age = x = 10 yrs

Her mother's age = 4x = 4 × 10 = 40 years

∴ Seena's age is 10 and her mother's is 40 respectively

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]

Dimes: 3 times greater than nickels:

This means that:

[tex]y = 3x[/tex]

Quarters: One greater than double the number of nickels:

This means that:

[tex]z = 2x + 1[/tex]

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]

[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]

[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]

[tex]0.85x = 3.4[/tex]

[tex]x = \frac{3.4}{0.85}[/tex]

[tex]x = 4[/tex]

y and z:

[tex]y = 3x = 3(4) = 12[/tex]

[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at https://brainly.com/question/17096268

Answer:

Step-by-step explanation:

369 = x + (x+2) + (x+4)

369 = 3x + 6

363 = 3x

121 = x

now that we know that x = 121, we can solve the equation by plugging in the variable

369 = x + (x+2) + (x+4)

369 = 121 + 123 + 125

369 = 369

The smallest three integers are 121,123 and 125.

Let, the smallest odd integers be n

Then according to the given condition,

[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]

So, the numbers are,

[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]

Learn More:https://brainly.com/question/2254193

Answer:

x=0       x=8          x = -1/10

Step-by-step explanation:

- 2x(x − 8)(10x + 1) = 0

Using the zero product property

-2x =0   x-8 = 0    10x+1= 0

x= 0    x= 8             10x = -1

x=0       x=8          x = -1/10

Answer:

Step-by-step explanation:

The general form of this equation is

[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.

Therefore, filling in:

[tex]A=45000e^{-.02t[/tex]

Answer:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

Answer:

a) 450 gravel   b)1250 sand

Step-by-step explanation:

:)

The rate of change is 7 because its 7 miles per hour

Step-by-step explanatio

Answer:

is whole number

Step-by-step explanation:

plz mrk me brainliest

Answer:

0 is larger than all negative numbers.

Step-by-step explanation:

When dealing with negative numbers, the number closer to zero is the bigger number. Zero (0) has the unique distinction of being neither positive nor negative.

The temperature change after 6 hours is 6.8°F

Initial temperature = 5.6°F

Initial temperature = 5.6°FFinal temperature after 6 hours = -1.2°F

The temperature change can be calculated as the difference in the value of final and initial temperature.

Temperature change = (final temperature - initial temperature)

Temperature change = (5.6 - (-1.2))°F

Temperature change = (5.6 + 1.2)°F = 6.8°F

Hence, temperature change after 6 hours is 6.8°F

Learn more : https://brainly.com/question/15473063

Answer:

6.8

Step-by-step explanation:

k12

Answer:

True

Step-by-step explanation:

Just compare the numbers to the dots.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

true

Step-by-step explanation:

The answer is true.

Answer:

No Major League ballparks are exactly alike, but certain aspects of the field of play must be uniform across baseball.

The infield must be a square that is 90 feet on each side, and the outfield is the area between the two foul lines formed by extending two sides of said square (though the dirt portion of the field that runs well past the 90-foot basepaths in all Major League parks is also commonly referred to as the infield). The field must be constructed so that the bases are the same level as home plate.

The rulebook states that parks constructed by professional teams after June 1, 1958, must have a minimum distance of 325 feet between home plate and the nearest fence, stand or other obstruction on the right- and left-field foul lines, and 400 feet between home plate and the nearest fence, stand or other obstruction in center field. However, some clubs have been permitted to construct parks after that date with dimensions shorter than those specified.

The pitcher's plate must be a 24-inch by 6-inch slab of whitened rubber that is 10 inches above the level of home plate and 60 feet, 6 inches away from the back point of home plate. It is placed 18 inches behind the center of the mound -- which is erected within an 18-foot diameter circle -- and surrounded by a level area that is 5 feet by 34 inches. The slope of the pitcher's mound begins 6 inches in front of the pitcher's plate and must gradually decrease by 1 inch every foot for 6 feet in the direction of home plate.

Home plate is a 17-inch square of whitened rubber with two of the corners removed so that one edge is 17 inches long, two adjacent sides are 8 1/2 inches each and the remaining two sides are 12 inches each and set at an angle to make a point. The 17-inch side faces the pitcher's plate, and the two 12-inch edges coincide with the first- and third-base lines. The back tip of home plate must be 127 feet, 3 and 3/8 inches away from second base.

The other bases must be 15-inch squares that are between 3 and 5 inches thick, covered by white canvas or rubber and filled with soft material.

Step-by-step explanation:

Answer:

36% of the muffins sold were carrot.

Step-by-step explanation:

How many carrot muffins we have? 9

How many muffins we have in total? 25

So, 9/25. Convert 9/25 to percentage.

9/25 = 0.36

0.36×100

=36%

Answer:

36%

Step-by-step explanation:

Hello! I hope you are having a great day!! I am happy to help you with this problem.

We know that in total there were 25 muffins sold (you can count them) and 9 of which were carrot. This means that 9/25 of the muffins were carrot. Now we must turn 9/25 into a percentage.

9/25 * 100 = 0.36. 0.36 * 100 = 36%

And thats your answer!!

Answer:

3166.7

Step-by-step explanation:

Volume=pi*r^2*h

=pi*12^2*7=3166.7

Answer:

3166.7

Step-by-step explanation:

Volume of a cylinder= pi × radius² × height

3.14 × 12² ×7 = 3166.7

Answer: y = 4/3x + 2

Step-by-step explanation:

Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.

If you take the first coordinate (3,6): 6 = 3(4/3) + b

                                                                6 = 4 + b

                                                                    b = 2

If you take the second coordinate (6, 10) : 10 = 6(4/3) + b

                                                                         10 = 8 + b

                                                                              b = 2

Then, substitute m and b into the equation (y = mx + b) to get your answer.

Answer:

if f(x) = ax + b then f-1(x) = (x - b)/a

Step-by-step explanation:

Now

f(x)=ax + b

then y = ax + b

interchanging x and y , we get

or, x = ay + b

or, x - b = ay

or, (x - b)/a = y

therefore,f-1(x) = (x - b)/a

Answer:

j' = (1,-2)   k'=(3,-1) L' = (3,-3)

Step-by-step explanation:

I think that you just multiply all the x,y values for the three points by 1/5?

5 1

-10 -2

j' = (1,-2)

~~~~~~~~~~~~~~~~~~  

15 3

-5 -1

k'=(3,-1)

~~~~~~~~~~~~~~~

15 3

-15 -3

l' = (3,-3)

Answer:

y = -10

Step-by-step explanation:

When x = 17, the equation be -17 + y = -27 when you plug in 17 for x

Then, add 17 to both sides to get y = -10

Answer:  " y =  -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the  value of  "y" when "x" equals 17.

Given the equation:

 - x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

   y − 17  = -27 ;   {since:  "adding a negative value" is the same

                                           as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

  y − 17 + 17  = -27 + 17 ;

to get:

  y  =  - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

    and within the "Brainly" community!

_____________________

Answer:

x=7.5

Step-by-step explanation:

s is for students

d is for days

150 s take 5 days to finish food

if there are 100 s how many days will the same amount of food take

so 150 students × 5 days = 750 equation 1

100 students × x days= 100x equation 2

750 from 1 = 100 x from 2

750÷100=x

x=7.5 days

Answer:

Just agree on having ice cream

Step-by-step explanation:

Answer:

baba booey

Step-by-step explanation:

444

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

Answer:

y = ± 15

Step-by-step explanation:

Given

y² = 225 ( take the square root of both sides )

[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]

y = ± 15

That is y = 15, y = - 15

Since 15 × 15 = 225 and - 15 × - 15 = 225

y² = 225

y = √225

y = 15

y²= 225

y = √225

y = -15

y = ±15

Therefore values of y are 15 and -15

Must click thanks and mark brainliest

Answer:

Here is the detailed answer below

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex] \tan(x) = \frac{13}{46} [/tex]

[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]

Answer:

should be 15.

Step-by-step explanation:

Answer:

x = 20

y = 70

Step-by-step explanation:

Since B and D are parallel :

6x - 10 + 3x + 10 = 180 add/subtract like terms

9x = 180 divide both sides by 9

x = 20

angle represented by y and 6x - 10 are supplementary and their sum is 180

y + 6x - 10 = 180 replace x with 20

y + 6*20 - 10 = 180

y + 120 - 10 = 180

y + 110 = 180 subtract 110 from both sides

y = 70

Answer:

1.2 = 12/10 = 6/5

2.25 = 225/100 = 9/4

3.5 = 35/10 = 7/2

4.06 = 406/100 = 203/50