If DEF is similar to PRY, what is the measure of PY?

If DEF Is Similar To PRY, What Is The Measure Of PY?

Answers

Answer 1
9 ÷ 6 = 1.5

12 ÷ 8 = 1.5

therefor 1.5 is the scale factor.

which means that 16 × 1.5 would give you your answer of 24.


if you have any questions just ask :)
Answer 2

The measure of PY is 24 centimeters, found using the properties of similar triangles and the correct option is C.

To solve this problem, we can use the following steps:

Identify the corresponding sides of the two similar triangles.

Write down the proportion for the corresponding sides of the two triangles.

Cross-multiply to solve for the unknown side.

In this case, the corresponding sides of the two triangles are:

AD = AP

DE = PR

EF = RY

We can write down the following proportion:

AD/DE = AP/PR

We know that AD = 6 cm and AP = 16 cm. We also know that PR = 8 cm. We can substitute these values into the proportion and solve for DE:

6/DE = 16/8

DE = 6 * 8 / 16

DE = 3 cm

Now that we know the length of DE, we can use the following proportion to solve for PY:

DE/EF = PR/PY

3/9 = 8/PY

PY = 8 * 9 / 3

PY = 24 cm

Therefore, the measure of PY is 24 centimeters.
So, the correct option is C.

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Related Questions

Joey can put together 4 budgets in 2 minutes. What is the unit rate for one burger?

Answers

30 seconds/per burger

Answer:

30 seconds

Step-by-step explanation:

4 burgers in 2 mins

1 burger

= 2 ÷ 4

= 0.5 min

= 30 seconds

Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 9 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 7266 dollars. How much did she invest at each rate?

Amount invested at 6 percent interest is $
Amount invested at 9 percent interest is $

Answers

Answer:

Amount invested at 6 percent interest is $69,200

Amount invested at 9 percent interest is $34,600

Step-by-step explanation:

Let the amount invested (or principal) at 6 percent interest be $2x

The principal(P) (amount invested) at 9 percent interest will be $x

Amount(A) = P(1 + rt)

Time(t) = one year = 1

Amount at 6% interest = 2x(1 + 0.06) = $2.12x

Interest accumulated = Amount - Principal = $2.12x - $2x = $0.12x

Amount at 9% interest = x(1 + 0.09) = $1.09x

Interest accumulated = Amount - Principal = $1.09x - $x = $0.09x

Total interest = $7,266

So, $0.12x + $0.09x = $7,266

$0.21x = $7,266

x = [tex]\frac{7,266}{0.21}[/tex] = $34,600

The principal (amount invested) at 9 percent interest rate is $34,600

The principal (amount invested) at 6 percent interest rate is 2 × $34,600 = $69,200

If f(12)=4(12)-20 which function gives f(x)

Answers

hope it helps you!!!!!!!!!!

Given: ΔXYZ

AB is a midsegment parallel to XY. The slope of AB is
2
3
.

What is the slope of XY?
A) 0
B) -
2
3
C)
2
3
D) undefined

Answers

Answer:

C) 2/3

Step-by-step explanation:

If AB is parallel to XY, then they have the same slope.

If the slope of AB is 2/3, then the slope of XY is 2/3 too.

what is the slope of (2 , -2) (0,4)

Answers

Answer:

-3

Step-by-step explanation:

The slope for two points is found by

m = (y2-y1)/(x2-x1)

   = (4--2)/(0-2)

  = (4+2)/(0-2)

  = (6/-2)

 =-3

Answer:

The slope is -3

Step-by-step explanation:

[tex]\frac{y}{x}[/tex]

You do the change in y over the change in x

[tex]\frac{-2 - 4}{2 - 0}[/tex]

which equals

[tex]\frac{-6}{2} = -3[/tex]

A needle is 2 inches long. A piece of ribbon is 6 feet long. Which diagram and statement best represents their lengths?

Answers

The answer is D . The bottom right corner .

The diagram and statement that best represents their lengths is as follows:

The ribbon is 36 times as long as the needle.

Length

Length is use to identify the size of an object or the distance.

The needle is 2 inches long

The piece of ribbon is 6 feet long.

Let's convert the sizes to same unit to be able to compare them . Therefore,

12 inches = 1 ft

2 inches = ?

Therefore, 2 inches = 2  / 12 = 1 / 6 ft

Therefore, the ribbon is 36 times as long as the needle.

1 / 6 × 36 = 6 ft

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Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 cubic inches

Answers

Answer:

the height is 20 inches

Step-by-step explanation:

Answer: 20 inches

Step-by-step explanation:

This is a triangular prism, we first need to find the area of the triangle!

A (triangle) = 1/2 x base of triangle x height of triangle

A = 1/2 x 3 x 5 = 7.5 square inches

Now lets work out the height of the prism, we can use the volume of the prism to do so.

V = Area of triangle x height

150 = 7.5 x height

Height = 150/7.5 = 20 inches

Find x pleeeasssseee

Answers

the answer will beeeeeeeeeeeeeeeeee c

The answer to your question is b

The equation for the circle is:

x²+y²+14x+10y−7=0 .


What is the center of the circle?

Answers

Answer:

(-7,-5)

Step-by-step explanation:

Converting the circle into the form (x-h)^2+(y-k)^2=r^2, we get

x^2+14x+49+y^2+10y+25=7+25+49

So we get

(X+7)^2+(y+5)^2=81

So the center of the circle is (-7,-5)

Answer:

centre = (- 7, - 5)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Arrange the equation by placing the x and y terms together

x² + 14x + y² + 10y - 7 = 0 ( add 7 to both sides )

x² + 14x + y² + 10y = 7

Use the method of completing the square

add (half the coefficient of the x/y term)² to both sides

x² + 2(7)x + 7² + y² + 2(5)y + 5² = 7 + 7² + 5²

(x + 7)² + (y + 5)² = 7 + 49 + 25 = 81 ← in standard form

with (h, k) = (- 7, - 5) ← centre of circle

The length of a rectangle is 11 centimeters less than four times its width. Its area is 45 centimeters. Find the dimensions of the rectangle

Answers

Answer:

The answer is length: 9, width: 5

Step-by-step explanation:

5 x 9 = 45

5 x 4 = 20

20 - 11 = 9

Hope this helps :P

The length of a rectangle is 9 cm and width of the rectangle is 5 cm.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Length of a rectangle is 11 centimeters less than four times its width.

Length=4W-11

Width=W

Area=45

Area=Length×Width

=(4w-11)w

45=4w²-11w

4w²-11w-45=0

After applying a =4, b=-11 and c=-45 in the quadratic formula

we get w=5

Plug in the value of w in length

Length=4W-11

=4(5)-11

=20-11

=9

Hence, the length of a rectangle is 9 cm and width of the rectangle is 5 cm.

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Helpppp show work please

Answers

So, input into distance formula to get ....

√(22-(-18))²+(0-9)²

√1600+81

√1681 is about 41.

Answer:

41 units

Step-by-step explanation:

Distance equation: Distance = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) is one coordinate, and (x₂,y₂) is the other.

Plug in: √((-18 - 22)² + (9 - 0)²)

Add: √((-40)² + (9)²)

Exponents: √(1600 + 81)

Add: √1681

Square roots: ± 41

Domain: 41 units (negatives are not allowed)

Enter the number that belongs in the green box

Answers

Answer:

x=96°

y=96°

Step-by-step explanation:

y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles

360°-(84°+84°)=192°

divide 192° by 2 to get the measure of one angle

therefore, x=96°

Answer:

x = 96 and y = 84

Step-by-step explanation:

Given

A Point

Angles x,y and 84 degrees

Required

Find x and y

First, we should note that angle x and 84 degrees are supplementary.

Two angles are said to be supplementary if they add up to 180 degrees

i.e. x + 84 = 180

x + 84 = 180

Make x the subject of formula

x = 180 - 84

x = 96

In the similar vein, angle x and y are supplementary.

so, x + y = 180

Substitute 96 for x

So, we have

96 + y = 180

make y the subject of formula

y = 180 - 96

y = 84

Hence, x = 96 and y = 84

If y varies inversely with x and y =5 when x=2.5 what is the value of y when x=20

Answers

Answer:

If x = 20, then y = 12.5/20 = 0.625

Step-by-step explanation:

The pertinent relationship is y = k/x, where k is the constant of proportionality.

Subbing 5 for y and 2.5 for x yields 5 = k/2.5, so k = 12.5.

Then the specific relationship fit to this problem is y = 12.5/x.

If x = 20, then y = 12.5/20 = 0.625

What part of 5 3/5 is 7/10

Answers

Answer:

[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

step 1

we know that

To find what part of [tex]5\frac{3}{5}[/tex] is [tex]\frac{7}{10}[/tex], divide [tex]\frac{7}{10}[/tex] by [tex]5\frac{3}{5}[/tex]

but

First convert mixed number to an improper fraction

[tex]5\frac{3}{5}=\frac{5*5+3}{5}=\frac{28}{5}[/tex]

so

substitute

[tex]\frac{(7/10)}{(28/5)}=\frac{7}{56}=\frac{1}{8}[/tex]

therefore

[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]

Evaluate 2x^-4y for x = 2 and y = 4. -64 1/8 1/2

Answers

ANSWER

[tex] \frac{1}{2} [/tex]

EXPLANATION

The given expression is;

[tex]2 {x}^{ - 4} y[/tex]

We want to find the value of this expression when x=2 and y=4.

We substitute to get,

[tex]2 {(2)}^{ - 4} (4) [/tex]

[tex]8 \times {2}^{ - 4} [/tex]

Recall that

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

This implies that,

[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]

[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]

Answer:

Step-by-step explanation:

i’ll mark brainliest please help

Answers

Answer:

False

Step-by-step explanation:

The distance between two points is found by

d = sqrt((y2-y1)^2 + (x2-x1)^2)

  = sqrt( (4-7)^2 + (6-2)^2)

  =sqrt( 3^2 +4^2)

  = sqrt(9+16)

  =sqrt(25)

  = 5

Answer:

False

Step-by-step explanation:

Because....

[tex]\sqrt[]{(6-2)^2+(4-7)^2}[/tex][tex]\sqrt{(4)^2 +(-3)^2}[/tex][tex]\sqrt[]{16+9}[/tex][tex]\sqrt{25}[/tex] ≈ 5 NOT 6 units

* Hopefully this helps:) Mark me the brainliest:)!!!

∞ 234483279c20∞

List in order from least to greatest

Answers

Answer:-5/6 -1/6 5/3

solve by completing the square x^2+12x+32=0​

Answers

Answer:

hello : x = - 4 or x = - 8

Step-by-step explanation:

x²+12x+32=0​

(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square

(x + 6 )²- 2² = 0

(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )

(x+4)(x+8) =0

x+4=0 or x+8= 0

x = - 4 or x = - 8

Answer:

x = - 8, x = - 4

Step-by-step explanation:

Given

x² + 12x + 32 = 0 ( subtract 32 from both sides )

x² + 12x = - 32

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(6)x + 6² = - 32 + 6²

(x + 6)² = - 32 + 36 = 4

Take the square root of both sides

x + 6 = ± 2 ( subtract 6 from both sides )

x = - 6 ± 2

Hence

x = - 6 - 2 = - 8

x = - 6 + 2 = - 4

picking a purple marble from a jar with 10 green and 10 purple marbles

Answers

Answer:

9 purple 10 green

Step-by-step explanation:

20 total- you have a 50 50 chance (50 percent) to get either color

What is the exact area of a circle with radius 5?

251

15

101

10

Answers

Answer:

[tex]\large\boxed{A=25\pi}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have r = 5. Substitute:

[tex]A=\pi(5^2)=25\pi[/tex]

I still need help answering these questions

Answers

Answer:

[tex]-2\frac{2}{3} y^{2} -1\frac{8}{9}y -3\frac{1}{9}[/tex]

Step-by-step explanation:

10 points One question NEED TO SHOW WORK​

Answers

Answer:

h = 3πx

Step-by-step explanation:

The volume (V) of the cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

V = π × x² × 3x = 3πx³

The volume of the cuboid therefore has volume of 3πx³, that is

x × x × h = 3πx³

x²h = 3πx³ ( divide both sides by x² )

h = 3πx³ ÷ x² = 3πx

The number of tickets sold is an example of continuous data. True or False?

Answers

Answer:

False

Step-by-step explanation:

Continuous data is data that can take any value within a range, including non-whole number values.

Because the number of tickets sold can only take whole number values, it is not an example of continuous data.

False

I hope this helps you understand continuous data. Have a great day. :)

Answer: False

Step-by-step explanation: Continuous data is data that can be measured. The number of tickets that were sold would only be positive integers meaning that there can't be a fraction of a ticket sold. Since discrete data is data that can be counted, the number of tickets sold would be an example of data that is discrete.

NEED ANSWER ASAP
the expression below is the factor of what trinomial -6(x+6)(x+7)

Answers

Answer:

[tex]-6x^{2}-78x-252[/tex]  or  [tex]-(6x^{2}+78x+252)[/tex]

Step-by-step explanation:

we have

[tex]-6(x+6)(x+7)[/tex]

Applying distributive property

[tex]-6(x+6)(x+7)=-6[x^{2}+7x+6x+42]\\=-6[x^{2} +13x+42]\\=-6x^{2}-78x-252\\=-(6x^{2}+78x+252)[/tex]

solveing systems of equations by substitution y=6x-11 -2x-3y=-7

Answers

[tex]\bf \begin{cases} \boxed{y}=6x-11\\ \cline{1-1} -2x-3y=-7 \end{cases}\qquad \implies \stackrel{\textit{substituting \underline{y} in the 2nd equation}}{-2x-3\left( \boxed{6x-11} \right)=-7}[/tex]

[tex]\bf -2x-18x+33=-7\implies -20x+33=-7\implies -20x=-40 \\\\\\ x=\cfrac{-40}{-20}\implies \blacktriangleright x=2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that }}{y=6x-11}\implies y=6(2)-11\implies y=12-11\implies \blacktriangleright y=1 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,1)~\hfill[/tex]

Step 1: Plug 6x - 11 in for y in the equation -2x - 3y = -7

-2x - 3(6x-11) = -7

Step 2: Distribute -3 to the numbers inside the parentheses (6x -11)

-2x - 18x + 33 = -7

Step 3: Combine like terms

x's go with x's

-20x + 33 = -7

Step 4: Subtract 33 to both sides

-20x = -40

Step 5: Isolate x by dividing -20 to both sides

x =  2

Step 6: To solve for y plug 2 in for x in the equation y = 6x - 11

y = 6(2) - 11

y = 12 - 11

y = 1

(2, 1)

Check:

1 = 6(2) - 11

1 = 12 - 11

1 = 1

-2(2) - 3(1) = -7

-4 - 3 = -7

-7 = -7

Hope this helped!

Please Answer Attachment Below Thanks

Answers

Answer:

Step-by-step explanation:

The interior angles of a heptagon add up to 5*180 = 900

So

x + 143 + 116 + 135 + 135 + 116 + 155 = 900     Add up the known angles

x + 800 = 900                                                   Subtract 800 from both sides

x + 800 - 800 = 900 - 800                              Combine

x = 100

Please help:):):) Your awesome​

Answers

Answer:

Q1: 11x - 8

Q2: 2x + 10

Q3: -3v + 12

Answer:

Q1: 11x + 8

Q2: 2x + 10

Q3: 3v - 12

if y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
*Edit* It's high school math. Forgot to change it from middle.

Answers

Answer:

y = 192

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336

y = [tex]\frac{336z}{x}[/tex] ← equation of variation

When x = 14 and z = 8, then

y = [tex]\frac{336(8)}{14}[/tex] = 192

What is the expression (3x²y³) ³​

Answers

Final answer:

The expression (3x²y³) ³ is found by cubing the coefficient and multiplying each variable's exponent by 3, which results in 27x⁶y⁹.

Explanation:

When we deal with the cubing of exponentials, as in the expression (3x²y³) ³, both the numerical coefficient and the variables with their exponents are raised to the power of 3. The rules of exponents guide us to cube the number 3 and multiply the exponents of x and y by 3.

To cube the number 3, we would calculate 3³, which equals 27. For the variables, we apply the exponent to each exponent: x raised to the 2³ (which is 6) and y raised to the 3³ (which is 9). Hence, the expression (3x²y³) ³ simplifies to 27x⁶y⁹. This demonstrates that when cubing an exponential expression, we obtain a new exponent for each variable by multiplying the original exponent by 3, and we cube the numerical coefficient as well.

ILL MARK YOU AS BRAINLIEST, RATE YOU A 5, AND THANK YOU! 70 POINTS!


what is the surface area of this rectangular prism? i-ready

Answers

Answer:

290 in²

Step-by-step explanation:

From the net:

S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²

From the model:

The formula of a Surface Area of a rectangular prism:

S.A. = 2(lw + lh + wh)

l - length

w - width

h - height

We have l = 5 in, w = 5 in, and h = 12 in. Substitute:

S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²

Answer: 290 in.^2

Step-by-step explanation: Just did on iready. Hope i helped! (:

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