select all the ways to prove triangles are similar and select one true statement regarding angles and sides. a a stands for congruent angles and s stands for proportional sides b sss~ c sas~ d aas~ e a stands for proportional angles and s stands for congruent sides f asa~ g aa~ h a stands for congruent angles and s stands for congruent sides

Answer:

C(x) = (1/9)x + 242/9

Step-by-step explanation:

Let x = number of pages.

Let y = cost.

We are given two ordered pairs, (x, y):

(100, 38) and (208, 50)

We must find the equation of the line that passes through these two points.

y = mx + b

m = (y_2 - y_1)/(x_2 - x_1) = (50 - 38)/(208 - 100) = 12/108 = 1/9

y = (1/9)x + b

Use point (100, 38) as x and y to find b.

38 = (1/9)(100) + b

38 × 9 = 100 + 9b

9b + 100 = 342

9b = 242

b = 242/9

The equation is:

y = (1/9)x + 242/9

Answer: C(x) = (1/9)x + 242/9

The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

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The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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The measure of x = 64°

The opposing angles created by the intersection of two lines are known as vertical angles or vertically opposed angles. A pair of angles that are vertically opposed to one another are always equal.

Here we have

Three lines are intersected and formed a triangle  

Let's assume that the triangle formed is ΔABC

In ΔABC,  ∠C = 34°  

Since Vertical opposite angles are equal

=> ∠B = 30°  

As we know the sum of angles in a triangle = 180°

=> ∠A + ∠B + ∠C = 180°

=> ∠A = 180° -  30° - 34°  

=> ∠A = 116

From the line CL [ observe the given picture ]  

=> ∠A + x = 180°

=> 116° + x = 180°

=> x = 180° - 116°

=> x = 64°  

Therefore,

The measure of x = 64°

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Answer:

11700

Step-by-step explanation:

From the following figures, we have that:

a) The sequence of transformations that maps triangle ABC to triangle A''B''C'' is given by:

b) The rules are given as follows:

The transformations used in this problem are as follows:

For this problem, the orientation of the triangle changed, with the C at the bottom of the triangle being transformed into C'' at the top of the transformed triangle, hence the figure was reflected over the x-axis, and the rule is:

(x,y) -> (x, -y).

After the reflection, the coordinates of C' are given as follows:

C' (-4, -1).

The final coordinates of C'' are given as follows:

C'' (7, 0).

Meaning that it was translated 11 units right and 1 unit up, and the rule is given by:

(x,y) -> (x + 11, y + 1).

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The polar form of the rectangular coordinates (-√√2, -√2) is (2√(1 + √2), 15π/28)

To convert the rectangular coordinates (-√√2, -√2) into polar form, we first need to find the value of r (the radius) and θ (the angle).

r = √((-√√2)^2 + (-√2)^2) = √(2 + 2√2) = 2√(1 + √2)

To find the value of θ, we can use the following formula:

θ = atan(y/x)

where atan is the inverse tangent function, and (x, y) are the rectangular coordinates.

θ = atan(-√2/(-√√2)) = atan(√2) = π/4 radians

However, we need to express the angle in terms of 7 over the interval 0 ≤ θ < 2π/7, with a positive value of r.

To do this, we can add a multiple of 2π/7 to the value of θ until we get an angle in the desired interval.

θ = π/4 + 2π/7 = (7π + 8π)/28 = 15π/28 radians

So the polar form of the rectangular coordinates (-√√2, -√2) is:

(2√(1 + √2), 15π/28)

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Answer:

-1

Step-by-step explanation:

-10+11+x

To make the Expression 0, it will be

-10+11+x = 0

1+ x= O

x= -1

To check

if X= -1

-10 +11 + (-1) = 0

1. The substitution u = help (formulas) with this substitution, y = help (formulas) y' = help (formulas) Enter derivatives using prime notation (e.g., we would enter y' for dy/dx) is y' = 2 * √(u) * du/dx.

2. The following linear differential equation in x, u, u' is

du/dx = (u + 3x - 3) / (2 * √(u))

3. The solution to the original initial value problem is described by the following equation in x, y is y = √(u), where u is the solution to the linear differential equation obtained in step 2, subject to the initial condition u(0) = y²(0) = 9.

1. To solve this, we can use the substitution method. Let's make the substitution u = y², then y = √(u). Taking the derivative of y with respect to x, we get:

dy/dx = du/dx / (2 * √(u)) = y' / (2 * √(u))

So, y' = 2 * √(u) * du/dx

2. After making the substitution, we obtain the following linear differential equation in x, u, and u':

2 * √(u) * du/dx + 3 = u + 3x

du/dx = (u + 3x - 3) / (2 * √(u))

3. The solution to the original initial value problem is described by the following equation in x, y:

y = √(u), where u is the solution to the linear differential equation obtained in step 2, subject to the initial condition u(0) = y²(0) = 9.

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The linear relationship is y = 20x, 0 ≤ x ≤ 17.5 and the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

The linear relationship

When making the trip up, we have:

Rate = 20 feet per seconds

This means that the relationship is:

Distance = Rate * Time

So, we have:

y = 20x

The height of the tower is 350.

So, we have:

20x = 350

Divide by 20

x = 17.5

Hence, the linear relationship is y = 20x, 0 ≤ x ≤ 17.5

The quadratic relationship

The quadratic equation can be represented as:

y = -0.5ax² + vx + h

Where:

So, we have:

y = -0.5 * 32x² + 0 * x + 288

Evaluate

y = -16x² + 288

When you get to the ground level, we have:

-16x² + 288 = 0

Subtract 288 from both sides

-16x² = -288

Divide by -16

x² = 18

Take the square root of both sides

x = ±3√2

Remove negative domain

x = 3√2

Hence, the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

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Answer:

darkside dexterboyz

Step-by-step explanation:

The required equivalent expression using the distributive property is: \($$\boxed{21r + 49s - 28}$$\)

This principle states that multiplying the sum of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Using the distributive property, we can distribute the factor of 7 to each term inside the parentheses:

7(3r + 7s - 4) = 7(3r) + 7(7s) - 7(4)

Simplifying each term:

= 21r + 49s - 28

Therefore, the equivalent expression using the distributive property is:

\($$\boxed{21r + 49s - 28}$$\)

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Answer:

200mg is in 5 ml. So how much is in 1 ml? 200÷5=40mg per ml. 300÷40=7.5ml

Answer:

3.5?

Step-by-step explanation:

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.

We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,

Average rate = (1750 - 0) / (600 - 100)

Average rate = 1750 / 500

Average rate = 3.5

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

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Based on a scale factor of 5:1 of the current measurement of the Thanksgiving invitations, the new measurement will be 1.8 in. x 1.6 in.

The scale factor refers to the ratio of an original object or measurement and a new object.

The scale factor can refer to a larger or smaller representation of the original measurement.  This implies that we can scale the original measurement down or up.

Current measurement = 9 in. X 8 in.

Scale factor = 5:1

= 20% (1/5 x 100)

Thus, the invitations designed with a current sizing of 9 in. x 8 in. can be scaled down with a scale factor of 5:1 to 1.8 in x 1.6 in.

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Answer:

the output is n+5

Step-by-step explanation:

3+5

4+5

8+5

n+5

The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.

This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.

According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:

x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)

x = 7.6 × 10⁻³ kL

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Step-by-step explanation:

. My sister asked me, "Have you seen my dog?" ____________________________________________ 2. Vijay asked "Have you gone to market?" ____________________________________________ 3. My mother asked, "Why are you crying?" ____________________________________________ The rickshaw puller asked me, "Do you speak English?" ____________________________________________

Based on the information, we can infer that the area of the floor is 130 square inches. Besides, we can infer that 2 tiles are needed to cover the entire floor area.

To calculate the area of the floor we must divide the figure into fragments to find the area more easily. First of all we can find the area of the left zone that measures 10 base by 9 height.

10 * 9 = 90

For the right part the area would be 10 * 4. So:

10 * 4 = 4040 + 90 = 130

According to the above, the area of the place would be 130. On the other hand, we can infer that 2 tiles are needed to cover the entire floor area.

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Answer:

\(r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda\)

Answer:

72 square units

Step-by-step explanation:

move above the dotted line to make a rectangel then the numbers are 6 and 12 then times them to get 72

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Expand

Substitute when n=1

We will have that (1-n)

Therefore,

Hence,

The correct option would be the first option A

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

x=8

The value of z is 49°.

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

see below

Step-by-step explanation:

|x+8| ≤ 4

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x+8 ≤ 4        x+8 ≥ -4

Subtract 8 from each side

x+8 -8 ≤ 4-8    and     x+8-8 ≥ -4-8

x ≤-4     and    x ≥ -12

Writing as one function

-12 ≤x ≤-4

|x-8|+5  ≥ 11

Subtract 5 from each side

|x-8|+5-5  ≥ 11-5

|x-8|  ≥ 6

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x-8  ≥ 6      or      x-8 ≤  -6

Add 8 to each side

x-8+8  ≥ 6+8       or     x-8+8 ≤  -6+8

x  ≥ 14      or      x ≤  -2

Answers and Step-by-step explanations:

9. | x + 8 | ≤ 4

Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.

That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).

Case 1: x + 8 > 0

x + 8 ≤ 4

x ≤ -4

Case 2: x + 8 < 0

-(x + 8) ≤ 4

-x - 8 ≤ 4

-x ≤ 12

x ≥ -12

Combining these two inequalities, we get:

-12 ≤ x ≤ -4

10. | x - 8 | + 5 ≥ 11

Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6

We again have two cases: x - 8 > 0 and x - 8 < 0.

Case 1: x - 8 > 0

x - 8 ≥ 6

x ≥ 14

Case 2: x - 8 < 0

-(x - 8) ≥ 6

-x + 8 ≥ 6

-x ≥ -2

x ≤ 2

Combining these two inequalities, we get:

x ≤ 2 and x ≥ 14

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.