Radayna’s family put a new ladder on the side of their swimming pool. As shown below, the pool is 4 feet tall and the distance on the ground between the pool and where the ladder touches the ground is 3 feet.



What is the length, in feet, of the new ladder that Radayna’s family put on the side of their swimming pool?

A
25

B
12

C
7

D
5

The dilation rule applied to quadrilateral ABCD is (1.5x, 1.5y)

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

Using C' and C as points of references,

C' = (4,4)

C = (6,6)

The dilation factor (k) is calculated as:

k= C/C' = (6,6)/ (4,4)

Factorize:

k = [3(2,2)] / [2(2,2)]  = 1.5

Hence, the scale factor is 1.5

The dilation rule is:

(x,y) => k (x,y)

(x,y) => 1.5 (x,y)

(x,y) => (1.5x, 1.5y)

So, the dilation rule applied to quadrilateral ABCD is (1.5x, 1.5y)

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The irregular polygon has an area of 300 square inches.

Herein we find an irregular pentagon shown in the figure, whose area has to be found. This can be done by considering it a composite figure, whose area is the sum of areas of triangles and rectangles.

In that sense, the area of the irregular polygon is the sum of the areas of two triangles and a rectangles, whose formulas are shown below:

Triangle

A = 0.5 · b · h

Where:

Rectangle

A = b · h

Now we proceed to determine the area of the irregular polygon:

A = 0.5 · (20 in) · (6 in) + (12 in) · (15 in) + 0.5 · (8 in) · (15 in)

A = 300 in²

The area of the irregular polygon is equal to 300 square inches.

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Answer:7

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

243/9

The two rational expressions sum to  x² - x - 12 are:

 {(2x)/ [ (x+3) (x-4) ]}  and  {(-2)/ [ (x+3) (x-4) ]}

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Factorize the denominator.

  x² - x - 12

= x² +3x - 4x - 12

= x(x+3) - 4(x+3)

= (x+3) (x-4)

The given expression therefore becomes:

(2x -2 ) / [ (x+3) (x-4) ]

This can be split into the sum:

(2x -2 ) / [ (x+3) (x-4) ]  = {(2x)/ [ (x+3) (x-4) ]} + {(-2)/ [ (x+3) (x-4) ]}

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Answer:

x = 3

This equation has only one solution.  The only number that will make both sides of the equation equal is 3.

Step-by-step explanation:

2(4x -3) -8 = 4 + 2x  Distribute the 2

8x -6 -8 = 4 + 2x  Combine like terms

8x -14 = 4 + 2x  Subtract 2x from both sides S(Subtraction property of equality)

6x - 14 = 4  Add 14 to both sides (subtraction property of equality)

6x = 18  Divide both sides by 6 (division property of equality)

x = 3

Check:

2[4(3) - 3] - 8 = 4 + 2(3)

2(12 - 3) - 8 = 4 + 6

2(9) - 8 = 10

18 - 8 = 10

10 = 10

Answer:

C Trigonal Planar

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

y=7.5x-2

Step-by-step explanation:

y=mx+c

m is the gradient of the line so it has to be positive for a positive slope

c is the y intercept so it has to be negative for a negative y intercept

In the given options, none of them have inequality sign ≤ and ≥,  so the given inequalities do not have solid line in its solution graph.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥. It is drawn as a dashed line if the points on the line do not satisfy the inequality, as in the cases of < and >.

Hence, in the given options, none of them have inequality sign ≤ and ≥,  so the given inequalities do not have solid line in its solution graph.

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Answer: 8/11 = 0.727

Step-by-step explanation:

The corresponding sides of two triangles are proportionate if they are identical then the length of side ZX exists 10.5 units.

What is meant by right triangles?

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

Main body:

If two triangles are similar, then their corresponding sides are proportional.

Since , therefore

AB/X Y = BC/YZ = CA/ZX

substitute the values in the above equation, we get

2/7 = 4/14 = 3/N

2/7 = 2/7 = 3/N

2/7 = 3/N

On cross multiplication, we get

2 × N = 3 × 7

2N = 21

Divide both sides by 2

N = 21/2

N = 10.5

Therefore, the length of side ZX exists 10.5 units.

The complete question is:

In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.

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(1) TV = 7

(2) JL = 25

(3) The distance between I and J is 7.

(4)  The distance between C and D is 5.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

(1) Given that: ST = 6 and SV = 13

We have to find TV

From figure,

   SV = ST + TV

    13 = 6 + TV

13 - 6 = TV

   TV = 7

(2) Given: KL = 9 and JK = 16

We have to find JL

From figure,

JL = JK + KL

JL = 16 + 9

JL = 25

(3) We have to find the distance between I and J.

Let, I = -9 and J = -2

IJ = -2 - (-9)

IJ = -2 + 9

IJ = 7

Hence, the distance between I and J is 7.

(4) We have to find the distance between C and D.

Let, C = 3 and D = 8

CD = 8 - 3

CD = 5

Hence, the distance between C and D is 5.

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Answer:

number

Step-by-step explanation: by steps

The two numbers are 12 and 14 (using quadratic equation)

Let two numbers be a and b

given,

(a + b)/2 = 13 ⇒ a + b = 26 ⇒a = 26 - b→ eq 1

also,

ab = 133

using eq 1 in ab = 133 we get,

[tex]b^{2}[/tex] - 26b + 133 = 0

using quadratic formula,

[tex]\frac{-b+- \sqrt{b^{2}-4ac } }{2a}[/tex]

we get b = 38,14

if b = 38, a = -12, which doesn't satisfy the question

so, b = 14, a = 12

quadratic equation:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

where a, b, and c are numerical coefficients and x is an unknown variable. An example of a quadratic equation is x2 + 2x + 1. Here, an is greater than zero because if it equals zero, the equation will cease to be quadratic and change to a linear equation, such as:

bx+c=0

As a result, we cannot refer to this equation as a quadratic equation.

Another name for the terms a, b, and c is quadratic coefficients.

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The value of x that makes the inequality true is: D. √0.02.

If we are given an inequality statement, the value of the variable of the inequality must be such that makes the statement true, which is the possible set of values of the variable.

Given that 1/8 < x < 18%, note the following:

1/8 = 0.125

18% = 0.18

This means that, 0.125 must be less than the value of x, while the value of x must be less than the value of 0.18, for the inequality to be true.

Considering the options given, 1/5 = 0.2. 0.2 is greater than 0.18 (18%).

1.6 is also greater than 0.18 (18%) and 1/8 (0.125).

1/8(0.125) is greater than 0.09.

Thus, √0.02 is approximately 0.14.

1/8 (0.125) < 0.14 < 18% (0.18). Therefore the value of x would be: D. √0.02.

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The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

The conditional probability is calculated by multiplying the probability of the previous event by the current probability of the subsequent, or conditional, occurrence. As an example, think about Event A: There is a 0.3 (30%) chance of rain today despite the fact that it is currently pouring outside.

Part A:

Creation of four blocks of two volunteers:

PART A: Skin Dryness based on age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

The criteria for creating the blocks is age.  The gender is not a material consideration.

Part B:

Creation of four blocks of two volunteers:

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

The criteria for creating the four blocks are age and gender.  Each gender is included in each group.

Part C:

Randomly assigning treatment to groups without regard to their group dynamics may not be the most efficient.  The new treatment formula should be assigned to one of the young groups and one of the old groups, using stratification.  This will help to explain if age or gender causes skin dryness or not.

a) Data and Calculations:

Volunteer     Gender     Age, year

1                      Male          23

2                     Female     25

3                     Female     51

4                     Female     24

5                     Male         22

6                     Male         53

7                     Male         52

8                     Female    56

PART A: Skin Dryness based on Age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

6                     Male        53

8                     Female    56

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

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Amount small dog is fed is 3/5 of 2 1/2

to find 3/5 of 2.5

multiply

( 3 * 2.5 )/5

7.5/5 = 1.5

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The statement which correctly identifies the intermolecular force which is represented by D and compares its strength relative to the intermolecular force represented by C is that: C. D represents ion-dipole forces, which are stronger than the force represented by C.

In Chemistry, there are different types of intermolecular force (chemical bonds) and these include the following:

In Chemistry, an ion-dipole force can be defined as an attractive force which arises from the electrostatic attraction between an ion and a neutral molecule that contains a dipole.

Additionally, an ion-dipole force is most commonly found in solutions because they are composed of polar molecules such as is represented by bond (letter) D.

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(1/2)x - 4y = -1 is the necessary equation, and A = 1/2 is the value of the missing coefficient of the equation Ax - 4y = -1

The definition of an equation is a mathematical statement with at least two terms that contain variables or equal numbers.

According to the Given information

An equation has been provided to us as

Ax - 4y = -1 ...... (i)

The answer is given at point (6,1),

Replace the values of x = 6 and y = 1 in the equation above,

A(6) - 4(1) = -1

A×6 -4 = -1 (+4)

A×6 = 3 / 6

In the equation above, decrease the fraction.

A = 1/2

Replace A = 1/2 with its value in the equation (i),

So (1/2)x - 4y = -1

As a result, (1/2)x - 4y = -1 is the necessary equation, and A = 1/2 is the value of the missing coefficient of the equation Ax - 4y = -1

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Answer:

10, 20, 5

Step-by-step explanation:

she's selling 1 bag for 10 dollars

The first row says 1 bag, that is 10 dollars so the answer is 10

The second row says 2 bags, so you just do 10 times 2. This is 20

The third row gives you the amount of money instead. Since they are 10 dollars each, 50 dollars means 5 bags of churros. I just did 50 divided by 10 to get 5 :)

Answer:17.95x=y

Step-by-step explanation just multiply 17.95 for each cookbooks he gets and that your y and your x is the amount of book he gets

The relationship between angle 1 and 2 using SAS Inequality Theorem is  m∠1 = m∠2.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

In other words, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

The SAS similarity theorem states if two sides of a triangle are proportional to each other or have the same ratio, and each triangle have congruent angles, the triangles are similar to each other.

For Triangles to obey SAS rule, the triangle must have 2 given sides and an angle.  

Therefore, using SAS inequality theorem,

m∠1 = m∠2

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Answer:

J = $1740.99

I = $1302.52

Step-by-step explanation:

1) Write Equations

I + J = 3043.51

I + 438.47 = J

Where I = amount paid by Isabella and J = amount paid by Jesus

Thus by substituting I + 438.47 for J the equation becomes,

I + I + 438.47 = 3043.51

Combining like terms gives the final equation

2I + 438.47 = 3043.51

2) Solve the final Equation to find how much Isabella paid

2I + 438.47 = 3043.51

2I + 438.47 - 438.47 = 3043.51 - 438.47

2I = 2605.04

2I/2 = 2605.04/2

I = 1302.52

3) Then use the Third Equation to solve how much Jesus paid

I + 438.47 = J

(1302.52) + 438.47 = J

1740.99 = J

Answer:

b 25 i think

Step-by-step explanation:

Answer:

Hope this helps lol !

Step-by-step explanation:

This is how to calculate net price. Start with the list price and add any taxes and other government-mandated charges. Then subtract any discounts, negotiated prices. The result you get will be the net price.

Answer:

The first one is congruent.  Vertical angles are congruent (same measurement)

The second and third pictures are the same Supplemental.  The two angels added together is 180

The last picture is commentary.  That is when two angles added together are 90.

Step-by-step explanation:

The number of cookies Zahra made with 4/5 kilograms of butter is 1333.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Zahra has 4/5 kilograms of butter to bake cookies.

Each batch of cookies requires 6/10 grams of butter

4/5 kilograms = 800 grams and 6/10 grams =0.6 grams

Number of cookies = Number of kilograms of butter ÷ Butter requires in each cookie

= 800 ÷ 0.6

= 800/0.6

= 1333

Therefore, the number of cookies are 1333.

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Answer:

For the given graph the constant of proportionality is 6.

Step-by-step explanation:

Answer:

  (a)  p = 6

Step-by-step explanation:

You want the constant of proportionality if the point (1/2, 3) lies on the graph of the relationship.

The equation for a proportional relationship is ...

  y = px

The value of p can be found as ...

  p = y/x . . . . . divide by x

For the given relationship, the point (x, y) = (1/2, 3) tells ...

  p = 3/(1/2) = 3·(2/1) = 6

The constant of proportionality is p = 6, matching choice A.

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The radical expression √16x² and ∛27x³ have the absolute value in the simplified form.

Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.

The simplified value of √16x² = 4x                {option 2}

And the simplified value of ∛27x³ = 3x              {option 3}

And the simplified value of [tex]\sqrt[5]{(-32)(x)^5}[/tex] = 2ix    {option 1}

Above expression does not have the absolute value. Since i have the value √-1.

And the simplified value of ∛27x = 3∛x               {option 4}

Therefore, only the option 2 and 3 get us the absolute value.

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Answer: 15

Step-by-step explanation:

u can multiply by 2 and get 15