On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1).
Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third

m∠K = 59.09°. This can be solved by using the concept of SAS theorem.

Triangles are congruent if their two sides and included angles are equivalent to those of another triangle's two sides and included angle. The SAS Theorem states that two triangles are congruent if their included angle and two of their sides are the same.

Here, ∠B = m∠K (consider it)

sin B /b = Sin A /a

sin B / 15 = sin 31° / 9

sin B / 15 = 0.5150 / 9

sin B / 15 = 0.057

sin B = 0.858

B = 59.09°

Thus, m∠K = 59.09°

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The values of p and ρˆ (p-hat) in the sample are

p = 0.48 and ρˆ (p-hat) = 0.44

From the question, we have the following parameters that can be used in our computation:

Proportion of male = 48%

Boys = 11

Girls = 14

The proportion of male represents the variable p

So, we have

p = Proportion of male = 48%

This gives

p = 48%

Express as decimal

p = 0.48

The variable ρˆ (p-hat) is then calculated as

ρˆ = x/n

In this case,

x = Boys = 11

n = Boys + Girls = 11 + 14 = 25

So, we have

ρˆ = 11/25

Evaluate

ρˆ = 0.44

Hence, the values are 0.48 and 0.44, respectively

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Step-by-step explanation: {KILLA KWEEN} DAISAN NO BAKUDAN--/|BITES ZA DUSTO|\

Answer:

150(1-x)

Step-by-step explanation:

120 is decreased by d%

Let x = d%

120 - 120*x

120(1-x)

Then it is increased by 25%

(120 (1-x)) +(120 (1-x))*.25

(120 (1-x)) +(30 (1-x))

150(1-x)

Answer:

Solution given:

120 is decreased by d%

in algebraic expression

120-d% of 120

and then

increased by 25%

in algebraic expression

(120-d% of 120)+25% of (120-d% of 120)

(120(1-d%))+120/4*(1-d%)

(1-d%)(120+30)

150(1-d%) is a required algebraic expression.

Answer:

64 is the area!

- love bri <3

Answer: 6

Step-by-step explanation:

85-79=6

Answer:

6

Step-by-step explanation:

85-79=6

Answer:

\( - 5x = - 22 - 4 \\ \\ - 5x = - 26 \\ x = 5.2 \\ \: \\ \)

Step-by-step explanation:

the original price was $225.

that is the 100% we are basing on.

the new price is $340.

the difference is 340 - 225 = $115

to know the % increase we need to calculate how many % of the original 100% are these $115.

1% = 100%/100 = 225/100 = $2.25

$115 are as many % as 1% fits into it :

115 / 2.25 = 51.11111111...% ≈ 51%

if we need to include the additional $50 bags fee, then the price difference is not $115 but $165.

165/2.25 = 73.33333333...% ≈ 73%

the percent increase of the ticket is about 51%.

the percent increase with the baggage fee is about 73%.

Answer:

$2250.00

Step-by-step explanation:

the way I went about solving this is by taking the total before discount (2500.00) dividing it by ten which gives the discount which is 1/10 of the total (250.00) and subtract that from the total 2500.00-250.00=2250.00

$2250.00 is your total after discount

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Step-by-step explanation:

212 sit-ups = 8 minutes

1 minutes = 212÷8

1 minutes = 26.5

The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,

µ = 3. 5 and σ = 0. 5

and the random sample of 100 male students has a mean GPA 3.42 is considered.

The z-score value is,

Z=( 3.42-3.5)/ (0.5/√100)

Z= -0.08/0.05

Z=-1.6

The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:

The required probability is,

P(X>3.42)=P(z>-1.6)

= 1- P(Z≤-1.6)

From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.

P(X>3.42)= 1- P(Z≤-1.6)

=1-0.0548

=0.9452

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.

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Answer: (x, y) = (-8/5, -9/5)

Answer:

1. veinte (10 * 2 = 20)  

2.  tres ( 12 ÷ 4 = 3)

3. veinte (18 + 2= 20)

4.  diez ( 15 - 5 = 10)

5. once (14 - 3 = 11)

Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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Answer:

first go to a diffrent site

Step-by-step explanation:

Answer:

C =))

Step-by-step explanation:

I needed more characters but 1.50(18) is to find out how much she spent so far. The others are just numbers. B is the amount of times she got onto the bus.

Answer:

They have a y-value of 0. They are in Quadrant 1. They are not above or below the origin.

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

A.

Step-by-step explanation:

In the attached file

Answer:

the answer is 49

Step-by-step explanation:

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

y=(x+8)^2/6 - 5/2

Step-by-step explanation:

Khan Academy

Answer:

9

Step-by-step explanation:

The input is the x and the output is the y.  When the x (input) is 3, the y (out put) is 9

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

1) \(\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } \approx 1.665\)

2) \(\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}\)

3) \(\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } \approx 1.317\)

Step-by-step explanation:

1) \(\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} }\)

This integral can be solved easily by using algebraic substitutions:

\(u = \ln x\), \(du = \frac{dx}{x}\)

Then, the integral can rewritten as follows:

\(\int {\frac{dx}{2\cdot x\cdot \sqrt{\ln x}} } = \frac{1}{2}\int {\frac{du}{u^{1/2}} } = \frac{1}{2}\int {u^{-1/2}} \, du\)

\(\int {u^{-1/2}} \, du = 2\cdot u^{1/2} + C = 2\cdot \sqrt{\ln x} + C\)

Where \(C\) is the integration constant.

\(\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } = F(16) - F(2)\)

\(F(16) - F(2) = 2\cdot (\sqrt{\ln 16}-\sqrt{\ln 2})\)

\(F(16) - F(2) \approx 1.665\)

2) Let be \(y = \cosh^{-1} (2\cdot \sqrt{x+1})\), then we obtain the expression by the definition of the derivative for the inverse hyperbolic cosine and the chain rule:

\(\frac{dy}{dx} = \pm\frac{1}{\sqrt{4\cdot x + 3}}\cdot \left(\frac{1}{\sqrt{x+1}} \right)\)

\(\frac{dy}{dx} = \pm \frac{1}{\sqrt{(4\cdot x + 3)\cdot (x+1)}}\)

\(\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}\)

3) \(\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} }\)

This integral can be solved by the following trigonometric substitutions:

\(\frac{2}{\sqrt{4 + x^{2}}} = \cos \theta\)

\(\frac{1}{\sqrt{4+x^{2}}} = \frac{\cos \theta}{2}\)

\(\frac{x}{2} = \tan \theta\)

\(x = 2\cdot \tan \theta\)

\(dx = 2\cdot \sec^{2}\theta \,d \theta\)

\(\int {\frac{dx}{\sqrt{4+x^{2}}} } = \int {\left(\frac{\cos \theta}{2} \right)\cdot (2\cdot \sec^{2}\theta)} \, d\theta = \int {\sec \theta} \, d\theta\)

\(\int {\sec \theta}\,d\theta = \ln |\sec \theta + \tan \theta| + C\)

\(\ln \left|\frac{\sqrt{4+x^{2}}}{2} + \frac{x}{2} \right| + C\)

Where \(C\) is the integration constant.

\(\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } = F(2\sqrt{3}) - F(0)\)

\(F(2\sqrt{3}) - F(0) = \ln \left|2+\sqrt{3}\right|-\ln \left|1\right|\)

\(F(2\sqrt{3}) - F(0) \approx 1.317\)

The table of values for the function is as follows,

x         0      -1      -2      1

f(x)     -2       -3     4       7

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree. A quadratic function must contain at least one term of the second degree.

Given the curve,

the shape of the curve is parabola so the function is quadratic,

the equation for the quadratic function is given by

f(x) = ax² + bx + c

from the graph, we find the values of x and f(x)

when x = 0, the curve intersects the y-axis at -2

when x = 0, f(x) = -2

x = -1, f(x) = -3,

and x = -2, f(x) = 4

from the values of coordinates,

the equation is f(x) = 4x² + 5x - 2

and coordinates are (0, -2), (-1, -3), and (-2, 4)

Hence the table is,

x         0      -1      -2      1

f(x)     -2       -3     4       7

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Answer: 9.6 N

Step-by-step explanation:

Hey there!

Pressure = 16

Area = 0.6

Force = pressure × area

Force  = 16 × 0.6 = 9.6N

A woman must weigh 9.6N if the pressure exerted while standing on one foot has an area of 0.6m square exerts a pressure of 16 Pascal.

~I hope I helped you! :)~

the answer is 659 because if x = 5 that means 25x25 = 625

and if y = 2 then 625 + 52 = 677

and then 677-18 = 659

Problem solved