What is the slope of a line parallel to the line whose equation is 3x-2y=14

Answer:

See below

Step-by-step explanation:

The measure of angle BGF from the given parallel lines is 108°.

Given that, measure of angle BGF=4x+28 and the measure of angle EHD = 2x+32.

1) From the given figure, angle BGF and angle EHC are interior alternate angles.

Angle FHC and angle EGA are corresponding angles.

Angle FHC and angle EGA are exterior alternate angles.

2) angle BGF+angle EHD=180°

3) 4x+28+2x+32=180°

6x+60=180

6x=120

x=20

Angle BGF=4x+28=108 °

Angle EHD = 2x+32

= 112°

Angle FHD=180-112=68°

Angle EGB=180-108=72°

Therefore, the measure of angle BGF from the given parallel lines is 108°.

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Answer:

32.67

Step-by-step explanation:

Im a 100% sure trust me

Ok hope this help <3

Answer:

The answer is 2+9x

brainliest pls :D

x+8x=9x

2+9x

Answer:

9

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Applying the rules for the polar equations, the correct pairs are given in the image at the end of the answer.

The most well known polar equation rules are given as follows:

For the first pair, when x = 2, we have that:

rcos(θ) = 2.

r = 2/cos(θ)

r = 2 sec(θ), as one divided by the cosine is the secant.

For the second pair, we have that:

x² + y² = 36.

x² + y² = r², hence:

r² = 36

r = 6.

For the third pair, we have that:

x² + y² = 2y

r² = 2rsin(θ).

r²/r = 2sin(θ).

r = 2sin(θ).

For the fourth pair, we have that:

\(x = \sqrt{3}y\)

\(\frac{y}{x} = \frac{1}{\sqrt{3}}\)

\(\frac{y}{x} = \frac{\sqrt{3}}{3}\)

Then the angle theta is given as follows:

θ = arctan(sqrt(3)/3) = pi/6.

For the fifth pair, we have an angle in which the sine and the cosine are equal, hence this angle is of 45º = pi/4.

The image at the end of the answer shows all the matched pairs.

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Answer:

6/8

Step-by-step explanation:

we need to calculate 3/8 + 3/8 = 6/8

Answer:

3/4

Step-by-step explanation:

1 hour is 2 times 1/2 hour.

2 * 3/8 = 6/8 = 3/4

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

Impossible

Step-by-step explanation:

Impossible is the answer as the root of 49 is 7 and dice has numbers up till six only

Answer: 47

Step-by-step explanation: Let's call the number of chairs Liam has x. We can set up the following equations to represent the problem:

7r = x - 5

5r = x - 17

Where r is the length of each row.

To solve for x, we can set the two equations equal to each other:

7r = x - 5

5r = x - 17

Then we can solve for x by combining like terms and solving for the value of x:

7r - 5r = x - 5 - x + 17

2r = 12

r = 6

We can substitute the value of r back into either of the original equations to solve for x:

7r = x - 5

7 * 6 = x - 5

x = 47

Therefore, Liam has 47 chairs.

Answer: 43

Step-by-step explanation:

Let's start with what we know about triangles which is that the sum of the angles in a triangle = 180. So far, we have one angle at 79 and another at 58, when adding them up: 79 + 58 = 137.  Then we do 180 - 137 = 43.

So x = 43.

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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Step-by-step explanation:

-3 in the horizontal (x) direction

-7 in the vertical (y) direction

(-3,-7)

The algebraic property illustrated is the commutative property of multiplication

The properties of algebra are those properties mostly used in simplifying algebraic expressions.

Algebraic properties are:

From the expression given we have

4/5 • 5/4 = 1

= 4/ 5 × 5/ 4

= 1

Thus, the algebraic property illustrated is the commutative property of multiplication

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Answer:

2,887.50

Step-by-step explanation:

First changing percent to decimal 175% - 1.75

I = 550 × 1.75 × 3 = 2,887.50

Answer:

24/4

Step-by-step explanation:

all you have to do is multiply 4x6=24

Using simultaneous equations, during the dinner to raise money for a children's museum, 90 tickets were sold.

Simultaneous equations are two or more equations solved concurrently or at the same time.

Simultaneous equations are also called a system of equations.

The cost of one-person ticket = $200

The cost of two-people ticket = $350

The total number of attendees at the dinner = 130

The total ticket sales = $24,000

Let number of one-person ticket = x

Let number of two-people ticket = 2y

x + 2y = 130... Equation 1

200x + 250y = 24000... Equation 2

Multiply Equation 1 by 200:

200x + 400y = 26000... Equation 3

Subtract Equation 2 from Equation 3:

200x + 400y = 26000

-

200x + 350y = 24000

50y = 2000

y = 40

x = 130 - 2y

=  130 - 80

= 50

Thus, the number of tickets sold at the dinner was 90.

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Answer:

2/3

Step-by-step explanation:

Step 1:

4 ( 3x - 2 ) - x = 3x - 4x

Step 2:

12x - 8 - x = - x

Step 3:

11x - 8 = - x

Step 4:

11x = - x + 8

Step 5:

12x = 8

Answer:

x = 2/3

Hope This Helps :)

Answer:

\(\displaystyle{x=\frac{2}{3}}\)

Step-by-step explanation:

\(4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8\)

\(\displaystyle{x=\frac{8}{12}}\)

\(\displaystyle{x=\frac{2}{3}}\)

Answer:

5x^2

4x

-20x

Step-by-step explanation:

5x(x) = 5x^2

4(x)= 4x

5x(-4)= -20x

Answer:

I think the answer is 1/3

Step-by-step explanation:

1/6+1/6

=2/6=1/3

Answer:

1/3

Step-by-step explanation:

The possible outcomes are 1,2,3,4,5,6

The good outcomes are 3 and 5 = 2 good outcomes

P(3 or 5) = number of good outcomes / total outcomes

              = 2/6 = 1/3

Answer:

8 hours

Step-by-step explanation:

because each hour that goes by the buses go a distance of 117 miles apart from each other (53+64) you must divide the total distance by the 117 mph distance for a total of 8 hours (936 / 117 = 8)

Answer:

8 hours

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

18 because pemdas we do paranthese first so 6÷2 is 3 then +8 is 11 then ×2 is 22 -4 is 18

Answer: 18

Step-by-step explanation:

Firstly, 6 should be divided into 2 which is equal to 3.

After 3 + 8= 11

11 should be multiplied by 2 which makes 22

Finally, 22- 4= 18

Remember that first division and multiplication should be done. Aster sum and subtraction.

Answer:

d) 127,000 members

Step-by-step explanation:

A = Accrued Amount (principal + interest)

P = Principal Amount of members = 23,000 initial members

r = Annual Nominal Interest Rate as a decimal = .05

t = years left to increase (2020-1985 = ) 35 years

n = number of times amount compounds per time = 1 time/year

23,000 initial members( 1 + .05/1)^1*35

23,000*(1.05)^35 = 23,000*(5.516) = 126, 868 = around 127,000 members

This is true, Companies also gather data on customer web use and preferences often without their consent.

What is data?

A set of discrete values called data is a collection of information that can describe amount, quality, fact, statistics, or just a series of symbols that can be further understood. A datum is a distinct state inside a collection of data. Typically, data is arranged into structures like tables that provide it additional context and meaning and can also be used as their own form of data in bigger structures. It's possible to use data as variables in a computation. Data can reflect both actual measures and abstract concepts. Data is employed often in practically every aspect of human organizational activity, including business and science. Stock prices, crime rates, unemployment rates, literacy rates, and census statistics are a few examples of data sets.

Companies sometimes gather data on customer web usage and preferences often without their consent. The main reason behind this dat collection is to suggest the best product or to show best advertisement based on the web usage and preferences.

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Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

answer is c

Step-by-step explanation:

because I don't know

Answer:

I am back in my own country

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation: