Solve for x: the quantity of x plus 4 over 3 = 2.

A. x = −2
B. x = 2
C. x = 2 over 3

Answer:

m<ABC = 100degrees

m<IJG = 104degrees

Step-by-step explanation:

14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;

m<ADC + m<ABC = 180

3y+8+4y+4 = 180

7y + 12 = 180

7y = 180 - 12

7y = 168

y = 168/7

y = 24

Get <ABC

m<ABC  = 4y+4

m<ABC = 4(24) + 4

m<ABC = 96 + 4

m<ABC = 100degrees

15. Similarly for this;

GHI + IJG = 180

76 + m<IJG = 180

m<IJG = 180 - 76

m<IJG = 104degrees

Answer:

y=mx+b so the answer is 28980/420 which equals 69 lol

Step-by-step explanation:

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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Answer:

I think the answer is twenve

The complete product is:

Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.

As, the length of the painted area is 3 1/5 and width of the painted area is 2/3.

So, multiplication of length and width is as follows:

3 1/5 x 2/3

= 3 x 2/3 + 1/5 x 2/3

= 6/3 + 2 / 15

= 30 + 2 / 15

= 32/ 15

= 2 2/15

Thus, the required fraction is 2 2/15.

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Answer:

B.

Step-by-step explanation:

8

—4

\(8 \div ( - 2) = - 4\)

2

\(( - 4) \div ( - 2) = 2\)

—1

\(2 \div ( - 2) = - 1\)

1/2

\(( - 1) \div ( - 2) = \frac{1}{2} \)

—（1/4）

\(( \frac{1}{2} ) \div ( - 2) = - \frac{1}{4} \)

1/8

\( (- \frac{1}{4} ) \div ( - 2) = \frac{1}{8} \)

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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The solution to the initial value problem dy/dФ + y = sin Ф is: y = (-cos Ф + 2)/e^Ф.

To solve the initial value problem dy/dФ + y = sin Ф, we first need to find the integrating factor, which is given by e^Ф. Multiplying both sides by the integrating factor, we get:

e^Ф(dy/dФ) + e^Фy = e^Фsin Ф

Now, we can use the product rule to simplify the left-hand side:

(d/dФ)(e^Фy) = e^Фsin Ф

Integrating both sides with respect to Ф, we get:

e^Фy = -cos Ф + C

where C is a constant of integration. Solving for y, we get:

y = (-cos Ф + C)/e^Ф

To find the value of C, we use the initial condition y(0) = 1. Substituting this into the equation above, we get:

1 = (-cos 0 + C)/e^0
1 = (-1 + C)/1
C = 2

Therefore, the solution to the initial value problem dy/dФ + y = sin Ф is:

y = (-cos Ф + 2)/e^Ф

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Answer:

-2, 14 is your answer.  Hope this helps!

Step-by-step explanation:

If k(-5, 10) is midpoint and (-8, 6) is one side then you add -3 and subract 4 to get L.  That means subtract 3 from -5 and add 4 to the 10.

Answer:

2

a

x

−

5

a

−

10

x

+

25

Step-by-step explanation:

The resulting coordinate of the pre-image will be at A"(-4, -8), B"(10, -3) and C"(0,7)

The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)

here, we have,

Given the coordinate of the triangle ΔABC as A (-4,-6), B (3,-6), and C (-2,-1).

If the coordinate is dilated by a factor of 2, this means we will multiply each of the coordinate point by 2 as to have:

A' = (2(-4), 2(-6)) = (-8, -12)

B' = (2(3), 2(-6)) = (6, -12)

C' = (2(-2), 2(-1)) = (-4, -2)

If the coordinate has a centre of dilation of (-4, -9), the final position of the image will be at;

A" = (-8+4, -12+4) = (-4, -8)

B" = (6+4, -12+9) = (10, -3)

C" = (-4+4, -2+9) = (0, 7)

Hence the resulting coordinate of the pre-image will be at A"(-4, -8), B"(10, -3) and C"(0,7)

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Answer:

We know that, the sum of interior angles of an n-sided polygon is (n−2)×180⁰

For a pentagon, n=5

so,

\( \implies \rm \: 6x + 6y = (n - 2)180\)

\( \implies \rm \: 6(x + y) = (5 - 2)180\)

\( \implies \rm \: 6(x + y )= 3 \times 180\)

\( \implies \rm \: (x + y) = \dfrac{3 \times 180}{6} \)

\( \implies \rm \: (x + y) = \dfrac{ 3 \times \cancel{180} \: \:30}{ \cancel6} \)

\( \rm \implies \: x + y = 90\)

\( \underline{\boxed{\implies \rm \: y= 90 - x}}\)

There are many formulas related to a pentagon. A few basic ones are given below.

Answer:

When in public, wear a mask

Just a teeny, weeny task

It helps keep is safe and sound

Health and care, all around

On your mouth, and on your nose

Good to cover both of those

Step-by-step explanation:

It's called the mask song you can ask Google assistant to sing it for you:)

Answer:

Step-by-step explanation:

Option A 37 is the correct answer

Answer:

Step-by-step explanation:

Given that the scale of the drawing is  3 cm to 15 ft.

This means that, every 15ft in the drawing will be represented by 3cm.

also there are a total of 10 lanes

given that the width of one lane is 5ft, the ten will be 5*10= 50ft

Now how many 15ft are there in 50ft= 50/15= 3.33

now in cm = 3.33*3=10cm

therefore on the drawing the width will be 10cm

Answer:

x=1

Step-by-step explanation:

2(5x + 8) = 6x + 20

Divide each side by 2

2/2(5x + 8) = 6x/2 + 20/2

5x+8 = 3x+10

Subtract 3x from each side

5x-3x +8 = 3x-3x+10

2x+8 = 10

Subtract 8 from each side

2x+8-8=10-8

2x=2

Divide by 2

2x/2 = 2/2

x=1

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

28 is NOT a given solution to the equality

Step-by-step explanation:

For this inequality, we substitute 28 for t and see if the left side is less than the right side.

\(t - 7 < 10, t = 28\\(28) - 7 < 10\\21 < 10 \\False\)

The statement is false, therefore the number provided is not a solution

Answer:

730.

Step-by-step explanation:

Do 365 x 2.

There are 730 days in 2 years.

I hope this helped at all.

Answer:

5(3x+1)

Step-by-step explanation:

Factor 15x+5

15x+5

=5(3x+1)

Answer:

5(3x+1)

( hope this is correct! )

Answer: A. 2\(\sqrt[3]{6}\)

Step-by-step explanation:

Answer:

c=9

Step-by-step explanation:

Let's solve your equation step by step:

1. \(1.5c-6+6=7.5+6\)

1.5 \(1.5c=13.5\)

2.\(\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}\)

3. C=9

1.5(9)-6=7.5

13.5-6=7.5

Answer: -5/10, But that can be simplified to -1/2

The answer is 12 cubic feet

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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\((\stackrel{x_1}{-15}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{-20}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-20}-\underset{x_1}{(-15)}}} \implies \cfrac{-12 +10}{-20 +15} \implies \cfrac{ -2 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{2 }{ 5 } \end{array}}\)

Answer: The slope is -2/5

Step-by-step explanation:

After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

Answer:

2.4

Step-by-step explanation:

6/2.5 = 2.4 per hour