PLEASE HELP GUYS !!!

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

To know more about Similarity theorem here.

https://brainly.com/question/24167205

#SPJ4

Answer:

6 grapes.

Step-by-step explanation:

If she already had 9 grapes, subtract 15 and 9 to get 6.

Answer:

6 grapes

Step-by-step explanation:

take 15 subtract 9 to get 6

Answer: It's using the table of 2 to continue the pattern of trains.

in the first fig the no. of carton is 0.

for the next one it is 2 and the next 4.

the pattern will thus continue with the multiplication table of 2.

Answer:

7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

simplify 875/1000

The standard normal curve can be described as a bell-shaped curve or Gaussian distribution. It is used to model a variety of phenomena in many fields, including physics, finance, and engineering. Its mean is zero, and its standard deviation is one.

The standard normal curve is symmetrical about the mean and is characterized by the empirical rule. The majority of the population is distributed within one, two, and three standard deviations from the mean (68%, 95%, and 99.7%, respectively).

Part a)13th percentile can be calculated using the standard normal distribution tables. From the tables, the value of z when the area under the curve to the left of z is 0.13 is -1.04. Therefore, the 13th percentile is -1.04. 80th percentile can be calculated in the same way as 13th percentile.

The value of z when the area under the curve to the left of z is 0.8 is 0.84. Therefore, the 80th percentile is 0.84.Part b)The values of Q and Q3 cannot be obtained from the standard normal curve since the standard normal curve is not used to study a particular set of data.

It is used to model phenomena with a normal distribution with a mean of zero and a standard deviation of one. Instead, the quartiles can be calculated using the empirical rule in conjunction with the normal distribution tables.

To know more about Gaussian distribution, click on the link below:
https://brainly.com/question/30861188#

#SPJ11

Answer:

x = 3

Step-by-step explanation:

x² + 15  =  x² + 5x

      15 = 5x

      15 ÷ 5 = x

          3 = x

I HOPE IT WILL HELP YOU.

Thank you.

Answer:

Step-by-step explanation:

correct one is b

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

Learn more about graphs:

https://brainly.com/question/16608196
#SPJ1

Joaquin will need 1 and two fifths cups to make his famous chocolate chip cookies for his friend's birthday party

To solve this problem we will use a rule of three with the problem information:

5 people-------- 1/4 cup of butter

28 people -------- x

Applying the rule of three we get:

x = ( 28 people * 1/4 cup of butter) / 5 people

x = 1,4 cup of butter

x = 1 + 2/5 cup of butter = 1 and two fifths cups

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

Learn more about direct proportions at: brainly.com/question/1266676

#SPJ4

Answer:

Option D, (x-2)(x-2)

Let's factor x2−4x+4

x2−4x+4

The middle number is -4 and the last number is 4.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -4

Multiply together to get 4

Can you think of the two numbers?

Try -2 and -2:

-2+-2 = -4

-2*-2 = 4

Fill in the blanks in

(x+_)(x+_)

with -2 and -2 to get...

(x-2)(x-2)

Answer:

(x−2)(x−2)

I hope this help.Please give me the brainliest.

Answer:

Hey!

it's D. (x-2)(x+2)

Step-by-step explanation:

\( ( x - 2)(x - 2)\\ {x}^{2} - 2x - 2x + 4 \\ {x}^{2} - 4x + 4 \\ hope \: this \: answers \: your \: question \\ good \: luck\)

The value of the expression x²-2(x-y)-z³ is 24.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given;

Expression x²-2(x-y)-z³

To find the value of the expression:

If x = -3, y=4 and z = -1.

Substituting the values to the expression,

x²-2(x-y)-z³

= (-3)²-2(-3-4)-(-1)³

= 9 + 14 - (-1)

= 9+14+1

= 24

Therefore, 24 is the value of the expression.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

Answer:

\(g(x) = \frac14x^2\)

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

The value of x in the figure is given as follows:

x = 8.

The value of x is obtained using similar triangles, which share these two following features:

The equivalent side lengths are given as follows:

Hence the proportional relationship of these lengths is given as follows:

2x/12 = (x + 4)/(x + 1)

x/6 = (x + 4)/(x + 1)

Applying cross multiplication, we have that:

x² + x = 6x + 24

x² - 5x - 24 = 0.

(x - 8)(x + 3) = 0.

The solution that makes all the dimensions positive is given as follows:

x - 8 = 0

x = 8.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

We have the following:

when x = -4, replacing:

The answer is (-4, -10/3)

Answer:

27:7

Step-by-step explanation:

Answer: Therefore, we need to choose the smaller positive value of x:

x ≈ 1.8/8 = 0.225 inches

So, each side should be shortened by approximately 0.225 inches.

Step-by-step explanation:

Let's call the amount by which each side is shortened "x". After the board is shortened on all sides by "x", its new dimensions will be (12-2x) inches by (8-2x) inches. The area of the new board will be:

(12-2x)(8-2x)

We want this area to be 45 square inches, so we can set up the equation:

(12-2x)(8-2x) = 45

Expanding the left side of the equation, we get:

96 - 40x + 4x^2 = 45

Rearranging and simplifying, we get a quadratic equation:

4x^2 - 40x + 51 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 4, b = -40, and c = 51. Plugging in these values, we get:

x = [40 ± sqrt((-40)^2 - 4(4)(51))] / (2(4))

x = [40 ± sqrt(136)] / 8

x ≈ 3.3/8 or x ≈ 1.8/8

However, we can see that if we choose x = 3.3/8 (approximately 0.4125 inches), then the new dimensions of the board would be negative, which does not make sense. Therefore, we need to choose the smaller positive value of x:

x ≈ 1.8/8 = 0.225 inches

So, each side should be shortened by approximately 0.225 inches.

To know more about positive value refer here

https://brainly.com/question/14615874#

#SPJ11

Answer:

The coordinates of the P' point are (-17.3,-10).

Step-by-step explanation:

We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.

Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.

The x-component of the vector will be:

\(V_{x}=-Vcos(30)\)

\(V_{x}=-20cos(30)=-17.32\: m\)

It is negative because the component is in the negative x-direction.

The y-component of the vector will be:

\(V_{y}=-Vsin(30)\)

\(V_{y}=-20sin(30)=-10\: m\)

It is negative too because the component is in the negative y-direction.

Therefore, the coordinates of the P' point are P'(-17.3,-10)

I hope it helps you!

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.

The alternative hypothesis (H1) would be that the mean of the bottles of cream is not equal to 8 ounces, indicating that the containers are being filled incorrectly. It can be written as: H1: μ ≠ 8 ounces where μ represents the population mean of the bottle cream fillings.

In the given scenario, the null hypothesis would be that the bottles of cream are being filled correctly with a mean of 8 ounces. The alternative hypothesis would be that the bottles of cream are not being filled correctly, meaning the true mean of the population is different from 8 ounces. However, the specific form of the alternative hypothesis would depend on the direction of the problem. If we are interested in knowing whether the mean filling amount is greater than or less than 8 ounces, we would use a one-tailed alternative hypothesis. If we are interested in determining whether the mean filling amount is simply different from 8 ounces, we would use a two-tailed alternative hypothesis.

To know more about alternative hypothesis,

https://brainly.com/question/27335001

#SPJ11

No, cherry-picking is not a way to present statistics ethically. Ethical statistical analysis requires a comprehensive and unbiased approach to data presentation.

Cherry-picking refers to selectively choosing data or information that supports a particular viewpoint while disregarding contradictory or less favorable data. This practice distorts the overall picture and can lead to misleading or deceptive conclusions.

Presenting statistics ethically involves using a systematic and transparent approach that includes all relevant data. It requires providing context, disclosing any limitations or biases in the data, and accurately representing the full range of results. Ethical statistical analysis aims to present information objectively and without manipulation or bias.

Cherry-picking undermines the principles of fairness, accuracy, and transparency in statistical analysis. It can mislead decision-makers, misrepresent the true state of affairs, and erode trust in the statistical analysis process. To maintain integrity in statistical reporting, it is essential to approach data with impartiality and adhere to ethical principles that promote fairness, transparency, and truthfulness.

To know more about Statistics visit-

brainly.com/question/31577270

#SPJ11

Step-by-step explanation:

ffdfgjufdduudryhcoydktsnvkysoyeits

Answer:

D

Step-by-step explanation:

The 3 part of the ratio relates to 18 apples , then

18 ÷ 3 = 6 ← value of 1 part of the ratio , then

2 parts = 2 × 6 = 12 ← number of oranges

Number of pieces of fruit = 18 + 12 = 30 → D

There are 30 pieces of fruit in Mr. Ocampo's basket.

Hence option D is correct.

Given that,

There are two kinds of fruit in Mr. Ocampo's basket.

The ratio of apples to oranges in the basket is 3:2.

There are 18 apples in the basket

Start by using the given ratio of apples to oranges, 3:2.

This means that for every 3 apples, there are 2 oranges in the basket.

It is  told that there are 18 apples in the basket,

So we can use this information to figure out how many oranges there are.

To do this, set up a proportion.

If 3 apples correspond to 2 oranges,

Then 18 apples correspond to x oranges.

This gives us the following equation:

3/2 = 18/x

To solve for x, we can cross-multiply:

3x = 36

 x = 12

So there are 12 oranges in the basket.

To find the total number of pieces of fruit,

Add the number of apples and oranges together:

18 + 12 = 30

There are 30 pieces of fruit in Mr. Ocampo's basket.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

For series (a), the series converges for |z| ≤ 1, and for series (b), the series converges for |z| ≤ 1.

For series (a), ∑_{1}^{∞} n!z^n, we can determine the values of z for which the series converges by using the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Using the ratio test, we have:

lim_{n}^{∞} |{(n+1)!z^{(n+1)} / (n!z^n)|

= lim_{n}^{∞} |(n+1)z} / (z^n)|

=lim_{n}^{∞} |(n+1) / {z^{(n-1)}}|

For the series to converge, we need this limit to be less than 1. Let's consider two cases:

1. If |z| > 1, then as n approaches infinity, the absolute value of the ratio |(n+1)/z^{(n-1)}| will tend towards infinity. Therefore, the series diverges.

2. If |z| ≤ 1, then as n approaches infinity, the absolute value of the ratio |(n+1)/z^{(n-1)}| will tend towards zero. Therefore, the series converges.

For series (b), ∑_{1}^{∞} n!z^n, we can use the ratio test in a similar way to determine the values of z for which the series converges.

Using the ratio test, we have:

lim_{n}^{∞} |{(n+1)!z^{(n+1)²} / (n!z^{n²})|

= lim_{n}^{∞} |{(n+1)z^{(2n+1)}} / (z^{n²})|

= lim_{n}^{∞} |{(n+1)z^{(2n-1)}} / {z^{n²}}|

Again, we consider two cases:

1. If |z| > 1, then as n approaches infinity, the absolute value of the ratio|{(n+1)!z^{(n+1)²} / (n!z^{n²})|  will tend towards infinity. Therefore, the series diverges.

2. If |z| ≤ 1, then as n approaches infinity, the absolute value of the ratio |{(n+1)z^{(2n-1)}} / {z^{n²}}| will tend towards zero. Therefore, the series converges.

In summary, for series (a), the series converges for |z| ≤ 1, and for series (b), the series converges for |z| ≤ 1.

Learn more about series from the given link:

https://brainly.com/question/31401033

#SPJ11

For series (a), the series converges for |z| ≤ 1, and for series (b), the series converges for |z| ≤ 1.

For series (a), \(\sum_{1}^{\infty} n!z^n\), we can determine the values of z for which the series converges by using the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Using the ratio test, we have:

\(\lim_{n \to \infty}| \frac {(n+1)!z^{(n+1)}}{(n!z^n)} |\)

\(= \lim_{n \to \infty} |\frac {(n+1)z}{(z^n)}|\)

\(= \lim_{n \to \infty} |\frac {(n+1)}{z^{(n-1)}}|\)

For the series to converge, we need this limit to be less than 1. Let's consider two cases:

1. If |z| > 1, then as n approaches infinity, the absolute value of the ratio \(|\frac{(n+1)}{z^{(n-1)}}|\) will tend towards infinity. Therefore, the series diverges.

2. If |z| ≤ 1, then as n approaches infinity, the absolute value of the ratio \(|\frac{(n+1)}{z^{(n-1)}}|\) will tend towards zero. Therefore, the series converges.

For series (b), \(\sum_{1}^{\infty} n!z^n\), we can use the ratio test in a similar way to determine the values of z for which the series converges.

Using the ratio test, we have:

\(\lim_{n \to \infty} |\frac{(n+1)!z^{(n+1)^2}}{(n!z^{n^2})}|\)

\(= \lim_{n \to \infty} |\frac{(n+1)z^{(2n+1)}}{(z^{n^2})}|\)

\(= \lim_{n \to \infty} |\frac{(n+1)z^{(2n-1)}}{z^{n^2}}|\)

Again, we consider two cases:

1. If |z| > 1, then as n approaches infinity, the absolute value of the ratio \(|\frac {(n+1)!z^{(n+1)^2}}{(n!z^{n^2})}|\)  will tend towards infinity. Therefore, the series diverges.

2. If |z| ≤ 1, then as n approaches infinity, the absolute value of the ratio \(|\frac{(n+1)z^{(2n-1)}}{z^{n^2}}|\) will tend towards zero. Therefore, the series converges.

In summary, for series (a), the series converges for |z| ≤ 1, and for series (b), the series converges for |z| ≤ 1.

Learn more about series from the given link:

brainly.com/question/31401033

#SPJ11

Answer:

the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40

Hope you do good :)

Answer: 1.55

Step-by-step explanation:

The that the relation R on Z, defined as xRy if and only if x and y have the same parity, is reflexive and symmetric but not transitive. An explanation for this is as follows:

- Reflexive property: For any integer x, x and x have the same parity, so xRx. Therefore, the relation R is reflexive.
- Symmetric property: If xRy, then x and y have the same parity. This means that y and x also have the same parity, since parity is a symmetric property. Therefore, yRx, and the relation R is symmetric.
- Transitive property: However, the relation R is not transitive. For example, if xRy and yRz, then x and y, as well as y and z, have the same parity. But it is not necessarily true that x and z have the same parity. For instance, if x is even, y is odd, and z is even, then xRy and yRz but not xRz.

the relation R on Z defined as xRy if and only if x and y have the same parity is reflexive and symmetric but not transitive. The familiar relation that this corresponds to is the "even-odd" relation.

To know more about reflexive visit:

https://brainly.com/question/29119461

#SPJ11

The value of x is 9.4 in the equation 8x−14+2x+10=90.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 8x−14+2x+10=90

Eight times of x minus forteen plus two times of x plus ten equal to ninety.

In the given equation x is the variable

Plus and minus are the operators.

Add the like terms

Ten times of x minus four equal to ninety

10x-4=90

Add 4 on both sides to cancel four on the left hand side.

10x-4+4=90+4

10x=94

Divide both sides by 10

x=94/10

Divide numerator and denominator by 10.

x=9.4

Hence, the value of x is 9.4 in the equation 8x−14+2x+10=90.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

The complete question

Solve the equation 8x−14+2x+10=90