State what additional information is required in order to know that the triangles are congruent for the
reason given.
SSS
C
D
Y
X
A) WX = ED or XY = DC
C) YW = CE
B) ZW
ZE
D) XY = DC

If Triangle ABC is dilated by a scale factor of 3 and the length of side AB is 15 inches, what is the length of side A'B'? Complete the statement: The length of side A'B' would be inches.

To find out the length side of A'B' multiply the length side AB by the scale factor

so

A'B'=3*(15)=45 inches

By definition, in a Geometric sequence the terms are found by multiplying the previous one by a constant. This constant is called "Common ratio".

In this case, you know these values of the set:

Notice that you can set up this set with the value given in the first option:

Now you can check it there is a Common ratio:

The Common ratio is:

Therefore, it is a Geometric sequence.

Apply the same procedure with each option given in the exercise:

- Using

You can notice that it is not a Geometric sequence, because:

- Using

Since there is no Common ratio, if you use the value given in the third option, you don't get a Geometric sequence.

- Using this set with the values given in the last option:

You get:

It is not a Geometric sequence.

The answer is: First option.

In Ms. Johnson's class a student will get 3 points for

having their name on their paper and 4 points for each

question that is correct. In Mr. Gallegos class, a student

will get 7 points for having their name on their paper and

2 points for each question correct. Which inequality

could be used to determine x, the number of questions

that would give you a higher grade in Ms. Johnson's

class?

we have

Ms. Johnson's class

3+4x

Mr. Gallegos class

7+2x

so

the inequality is given by

3+4x > 7+2x

solve for x

4x-2x > 7-3

2x>4

x> 2

the number of question must be greater than 2

SOLUTION:

Step 1:

In this question, we are given that:

There is sales tax of $9.00 on an item that costs $ 120.00 before tax.

The sales tax on a different item is $ 19.05.

We are meant to find how much the second item cost before tax.

Step 2:

Assuming that there is an equal percentage of tax,

and let the second item cost before tax be y,

then we have that:

Cross-multiply, we have that:

Divide both sides by 9, we have that:

CONCLUSION:

The cost of the second item before tax = $ 254

Original Car price = $20,000

Price increase after 5 years = 25%

To calculate the price after 5 years, first multiply the original price (20,000) by the percentage increase in decimal form ( divided by 100) to obtain the increase amount:

20,000 x (25/100) = 20,000 x 0.25 = $5000

Finally, add the increase amount to the original price:

20,000+5,000 = $25,000

We know the trip from Council Bluffs to Dubuque had a total distance of 348 miles; if we take the same route to go back this will mean that we need to travel the same distance, 348 miles. The total distance then we will be 696 miles.

The transformation to get g(x) from f(x) are:

translate 14 units to the left and 10 unit upwards

the transformatio to get h(x) from f(x) are:

translate 14 units to the left and 10 units downwards

The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]y = \frac{1}{2}x - \frac{21}{2}[/tex] is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by [tex]y = mx + c[/tex]

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line

Here,

The given equation of line is [tex]y = \frac{1}{2} x - 4[/tex]

Slope of this line = [tex]\frac{1}{2}[/tex]

Slope of the line parallel to this line = [tex]\frac{1}{2}[/tex]

The line passes through (9 , -6)

Equation of the required line =

[tex]y - (-6) = \frac{1}{2}(x - 9)\\2y + 12 = x - 9\\2y = x - 9 -12\\2y = x -21\\y = \frac{1}{2}x - \frac{21}{2}[/tex]

To learn more about equation of line in slope intercept form, refer to the link-

https://brainly.com/question/25514153

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

parallelogram diagram

Step 02:

geometry:

solve for x:

(5x + 25)° = (12x + 11)°

5x + 25 = 12x + 11

25 - 11 = 12x - 5x

14 = 7x

14 / 7 = x

2 = x

The answer is:

x = 2

the median is 25, because:

the mean value is :

Given the expression:

You can simplify it as follows:

1. Distribute the positive sign. Since the sign between the parentheses is positive, it does not change the signs of the second parentheses:

2. Add the like terms.

By definition, like terms have the same variables with the same exponent.

In this case, you need to add the terms with exponent 3 and add the terms with exponent 2. Notice that:

Then, you get:

Hence, the answer is:

Given:

5x+8y=3

The objective is to fill the table using the given values of x otr y.

Let's take that, x=0 and substitute in the given equation.

Hence, the the required solution will be (0,3/8).

Let's take that, y=0 and substitute in the given equation.

Hence, the the required solution will be (-2,0).

Let's take that, y=1 and substitute in the given equation.

Hence, the the required solution will be (-1,1).

Given:

The vector

Required:

To find the unit vector u with the same direction.

Explanation:

Unit formula is the vector is divided by its magnitude.

Now the magnitude of v is,

Now the unit vector is,

Final Answer:

We will solve as follows:

Hello there. To solve this question, we'll have to remember some properties about inversely proportional terms.

Let's start labeling the terms:

Say Current is given by I, Resistance is given by R and voltage is given by V.

By Ohm's Law, we know that:

In fact, this is the definition we need to find the answer.

But, to understand why the question mention the fact that they are inversely proportional, note:

We say two numbers x and y are inversely proportional when:

Their product is equal to a constant. k is the constant (of proportionality).

Now, using the given values in the question, we can solve this question.

If the current is 30 ampère when the resistance is 5 ohms, we have to find the current when the resistance is 7.8 ohms.

First scenery:

Multiply the numbers

Second scenery:

Plugging V = 150, we get:

Divide both sides of the equation by a factor of 7.8

Simplify the fraction by a factor of 2

Using a calculator, we get the following approximation

A is for Ampère.

Answer: z = 20

Explanation:

The given equation is

24z - 48 = 16z + 112

Subtracting 16z from both sides of the equation, we have

24z - 16z - 48 = 16z - 16z + 112

8z - 48 = 112

Adding 48 to both sides, we have

8z - 48 + 48 = 112 + 48

8z = 160

Dividing both sides by 8,

8z/8 = 160/8

z = 20

Answer

Step-by-step explanation:

solve for b.

2x+14=10x+b

Step 1: Flip the equation.

b+10x=2x+14

Step 2: subtract 10x from both sides.

b+10x+−10x=2x+14+−10x

b=−8x+14

Answer:

b=−8x+14

GIVEN:

We are given the following trigonometric expression;

Required;

We are required to evaluate and answer both in radians and in degrees.

Step-by-step solution;

We shall begin by using the trig property;

Therefore, we now have;

We now use the table of common values and we'll have;

Therefore;

We can now convert this to degrees;

Substitute for r (radian measure):

Now we can cross multiply;

Therefore,

ANSWER:

Answer:

17

Explanation:

Given the function:

When the input value, x = 5

The output value if the input value is 5 is 17.

y = 2 (option D)

y = -x + 12

4x - 2y = 36

rewriting the equations:

y + x = 12 ....equation 1

-2y + 4x = 36 ....equation 2

Using elimination method:

we will be eliminating y. So we need to make the coefficient of y to be the same in both equation. We will be multiplying the first equation by 2.

2y + 2x = 24 ....equation 1

-2y + 4x = 36 ....equation 2

Add both equations:

2y + (-2y) + 2x + 4x = 24 + 36

2y-2y + 6x = 60

6x = 60

x = 60/6 = 10

Insert the value of x in any of the equation. Using equation 2:

4(10) - 2y = 36

40 -2y = 36

-2y = 36 - 40

-2y = -4

y = -4/-2

y = 2 (option D)

As for the sequence 3,-10,16,-36,68,..., notice that

Therefore, the next term is

The answer is -140.

Regarding the second pattern, notice that

Then, the next term of the sequence is

The answer is 912

SOLUTION

The terms below make an A.P. Now we are told to find the sum of the AP.

Sum of an AP is given by

Where S = sum of the AP, a = first term = 9, d = -5, n= ?

So we have to find n first before we can find the sum. The nth term which is the last term = -536. So we will use it to find the number of terms "n"

Now let's find the sum

Therefore, the sum = -31735

We want to know which ordered pair is a solution of the system of inequalities shown:

For doing so, we will try to solve both inequalities for one variable, in this case, we will use y.

On the first equation:

On the second equation:

For (0, 2)

We have that x=0, and y=2. Thus,

For (-3, 8)

In this case, x=-3 and y=8.

For (2,5)

In this case, x=2 and y=5.

For (-7, -4)

In this case, x=-7 and y=-4.

For (6, -1)

We have that x=6 and y=-1.

Answer:

The value of x is 75;

Explanation:

From the diagram;

Reason; supplementary angles.

Solving the equation, we have;

Therefore, the value of x is 75;

We are given the area of a rectangle. The area of a rectangle is the product of the length and the height. Therefore, we have:

If we scale the rectangle by a factor of 3.5 this means that we multiply the length and the height by 3.5, like this:

Solving the product:

Since "lh" is the original area we have:

Now, we substitute the value of the original area:

Solving the operations:

Therefore, the new area is 245 square units.

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

So, we can use the latter parts to solve this

B = ?

b = 4.0

C = 58°

c = 3.5

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

Answer

Explanation

The 750 percent as a fraction or mixed number in simplest form is calculated as follows:

Based on the number of pennies, nickels, and quarters, the number of different amounts of money that can be made are 42.

First, find out the number of ways to select the different amounts.

There are six pennies so there are 7 ways to collect them including:

(0 times, 1 time, 2, 3, 4, 5, 6)

There are 3 ways to collect nickels and there are two ways to collect quarters.

The number of different amounts of money that can be made are:

= 7 x 3 x 2

= 42 different amounts of money

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given the expression :

We need to evaluate the expression when :

So, substitute with a , b and c at the expression

The result will be :

There is another expression :

By substitute with the values of a, b and c

so, the result will be :

4(x - 3) - (x - 5) = 0​

Solving for x:

4(x - 3) - (x - 5) = 0​

4x - 12 - x + 5 = 0

4x - x = 12 - 5

3x = 7

x = 7/3

Answer:

x = 7/3 = 2.33