Angle J and angle K are complementary angles. The measure of angle J is 18 less than the measure of angle K. Fine the measure of both angles.

Please and thank you.

Answer:

4

Step-by-step explanation:

Hello!

Simplify the expression by combining like terms.

The simplified expression is 4.

The simplified form of the given expression is 4.

To solve the expression 10y + 12 - 7y - 8 - 3y,

We need to combine like terms and simplify.

Simplify the expression by combining the like terms (the terms that have the same variable and the same exponent).

We have 10y, -7y, and -3y,

Which can be combined to give us a total of 0y.

This means that the variable y has been eliminated from the expression.

Combine the constant terms (the terms that don't have a variable or that have a variable raised to the power of 0).

We have 12 and -8, which can be combined to give us 4.

So, the simplified expression is 4.

We can express this mathematically as follows:

10y + 12 - 7y - 8 - 3y = (10y - 7y - 3y) + (12 - 8)

                                 = 0y + 4 = .

In other words, the expression simplifies to the constant term 4.

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Answer:

jsjwbsihdn3oiansjsos

Answer:

40 Percent

Step-by-step explanation:

I just used a calculator.

This indicates that approximately 47.7% of the sampled subjects responded definitely or probably not beneficial to family planning.

From the given data, we can analyze the proportions of respondents who considered family planning beneficial and those who did not.

The proportion of respondents who responded definitely or probably beneficial is 651 out of 1245 sampled subjects. Therefore, the proportion can be calculated as:

Proportion = 651/1245 ≈ 0.523

This indicates that approximately 52.3% of the sampled subjects responded definitely or probably beneficial to family planning.

On the other hand, the proportion of respondents who responded definitely or probably not beneficial is 594 out of 1245 sampled subjects. The proportion can be calculated as:

Proportion = 594/1245 ≈ 0.477

This means that roughly 47.7% of the sampled participants indicated that family planning was either definitely advantageous or probably not beneficial.

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Answer: 98

Step-by-step explanation: According to the corresponding angles theorem m<1=82. Then according to the linear supplements theorem m<2=98. Hope this helps!

Answer:

98°

Step-by-step explanation:

Angle 1 also measures 82° because it is a corresponding angle to the given angle. Angles 1 and 2 are supplementary and therefore must add up to 180°.

Answer:

The percent of change is 144.29447% because 2,888 is 44.29447% of 6,520

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

2m+4p=22

6m+12p=66

First, to choose one variable to simplified, I choose to find 1st equations in m form.

2m+4p=22

      2m=22-4p            [Subtract 4p from both side]

         m=22/2 - 4/2p  [Divide 2 on both side to find m]

         m= 11 - 2p

6m+12p=66          

6(11-2p)+12p=66          [Plug in the 11-2p in to m,according to the 1st equation]

66-12p+12p=66

The -12p has cancel with 12p, so it means that there is no solution

Answer:  Richard is 22 and Teo is 9

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

\(\frac{10-x}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(10 - x)

3x = 20 - 2x ( add 2x to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

Answer:

A: days: 2 and rental cost: 480

B: y=60x

Step-by-step explanation:

The daily rental cost is 60 dollars, because 180/3=60 and 300/5=60. Now you can say that y(rental cost) = 60x(daily cost times x(days).

Hope this helps! If you still have questions, just ask.

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.

The tangent is a term that is used to tell more or described as the  point of contact between a circle or an ellipse and a single line.

Based on the fact  that the tangent line is perpendicular to radius of the circle.

Hence, AR ⊥ RS and BS ⊥ RS

Therefore, AR and BS ⊥ similar to line RS.

So,  the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.

Therefore, AR ║BS.

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Given:

The eqation is y=5-(1/2)x

The objective is to find the y values for the given equation.

If x = -2,

If x = 0,

If x = 2,

If x = 4,

Hence, the values of the table is,

Answer:

Kate is 3 years old, Jane is 9 years old

Step-by-step explanation:

1.) First, assign variables to all of their ages. If we say Kate's age is x, Jane's age is 3 times this, which can be written as j, is 3x.

2.) Jane's age is also 2 less than twice of Kate's in 5 years. This means that her age is also 2(x+5) - 2 = j + 5. With a little simplification, you get that 2x + 8 = j + 5.

3.) Since j, Jane's age, is also 3x, we can substitute 3x in for j in the second equation. If you do this, you get 2x + 8 = 3x + 5.

4.) By moving the x onto one side and the numbers onto another, you get x = 3. X was Kate's age, meaning that Kate is 3 years old.

5.) Finally, since Jane's age is 3 times Kate's age, Jane's age is 3 * 3, which is 9. Jane is 9 years old.

Jane is 9 years old and Kate is 3 years old.To solve the problem, let's first establish variables for Jane and Kate's ages.

Let J represent Jane's age and K represent Kate's age.
According to the student question, Jane is 3 times as old as Kate, which can be represented as:
J = 3K
In 5 years, Jane's age will be 2 less than twice Kate's age, which can be represented as:
J + 5 = 2(K + 5) - 2
Now we can solve the equations step by step:

Substitute the first equation into the second equation to eliminate one of the variables:
3K + 5 = 2(K + 5) - 2
Distribute the 2 on the right side of the equation:
3K + 5 = 2K + 10 - 2
Simplify the equation by combining like terms:
3K + 5 = 2K + 8
Move the 2K term to the left side of the equation:
K = 3
now we know that Kate is currently 3 years old.
Substitute K's value back into the first equation to find Jane's age:
J = 3K
J = 3(3)
Simplify to find Jane's age:
J = 9
So, Jane is currently 9 years old.
Jane is 9 years old and Kate is 3 years old.

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The cost of 1 pound of fudge is $9.

We know that the cost of 0.75 pounds of fudge is $6.75, then we can write a relation of the form:

0.75 pounds = 6.75 dollars

This would be an "equivalence between two units"

Now we can divide both sides by 0.75 to get a 1 in the left side, so we have an "unit of fudge"

(0.75 pounds)/0.75 =(6.75 dollars)/0.75

1 pound = 9 dollars.

The cost of 1pound of fudge is 9 dollars.

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Answer:

6%

Step-by-step explanation:

Value of c for which the quadratic polynomial x² +28x + c a perfect square is 196

What is a quadratic polynomial?

At first it is know about polynomial

An expression of the form \(a_0+a_1x+ a_2x^2 + .... + a_nx^n\) is called a polynomial of degree n.

A polynomial of degree 2 is called a quadratic polynomial.

The given quadratic polynomial is x² +28x + c

Now, we have to make x² +28x + c a perfect square

\(x^2 + 28x + c\\x^2 + 2 \times x \times 14 + 14^2 - 14^2 +c\\(x + 14)^2 - 196 + c\)

By the problem,

-196 + c = 0

c = 196

Value of c for which x² +28x + c a perfect square is 196

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Answer:

True

Step-by-step explanation:

If ∠XZY and ∠PZQ are vertical angles,

then ∠XZY≅∠PZQ

(vertical angles are congruent)

The graph of the function can be plotted using a normal graph plotting

process, ensuring that the expression for f(x) corresponds to the x-value.

Graph of piecewise function:

The piecewise function is presented as follows;

\(f(x) =\begin{cases}x + 2 & \text{ if } x < -3 \\2\cdot x & \text{ if } -3 \leq x < 3 \\x - 2 & \text{ if } x \geq 3\end{cases}\)

The graph of the above piecewise function can be drawn by using a table

of values based on the given input values and the corresponding

expression for f(x) as follows;

\(\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{f(x) = x + 2}& \underline{ f(x) = 2\cdot x}& \underline{f(x) = x - 2}\\-8&-6&&\\-7&-5&&\\-6& -4&&\\-5&-3&&\\-4&-2&&\\-3&&-6&\\-2&&-4&\\-1&&-2&\\0&&0&\\1&&2&\\2&&4&\\3&&&1\\4&&&2\\5&&&3\end{array}\right]\)

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Answer:

3n+12=45

Step-by-step explanation:

Because if you take 2 and put it in the place of n 32+12 =45 and take 45 and divide it by 12 and you will get 11.

Answer:

Step-by-step explanation:

\(f(x)-g(x)=2x^2+3x+2-x-1\\ \\ f(x)-g(x)=2x^2+2x+1\)

Answer:

450 meters is 0.45 kilometers.

Answer:

117

Step-by-step explanation:

f(x) = 21x + 12

f(5) = 21(5) + 12

f(5) = 105 + 12

f(5) = 117

The perimeter of a rectangle is 28 m. If the width were doubled and the length were increased by 16 m, then the perimeter would be 70 m. P = 2(L + W),where P is the perimeter, L is the length, and W is the width. We can solve the given problem by solving two linear equations.

Let x be the width and y be the length. We are given the following information:2(x + y) = 28 ...

(1)2(2x + y + 16) = 70 ...(2)Using equation (1),

x + y = 14y = 14 - x Substituting the value of y in equation (2),

we get:2(2x + 14 - x + 16) = 70

Simplify  for x:2(x + 15) = 35x + 15

= 17.5x

= 1.75Substituting the value of x in equation (1), we get: y = 14 - x

= 14 - 1.75

= 12.25Therefore, the dimensions of the rectangle are: Width x = 1.75 m

Length y = 12.25 m Hence, P = 2(L + W) and solving the linear equations derived from the given information.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The location of all local extrema is ∅.Answer: ∅.

Given function is f(x) = − 3x.

The first derivative of the given function is f'(x) = -3

The first derivative test says:

Suppose that c is a critical number of a continuous function f and that f'(x) changes sign at x = c:

i. If f'(x) changes from positive to negative at x = c,

then f(c) is a local maximum of f.

ii. If f'(x) changes from negative to positive at x = c,

then f(c) is a local minimum of f.

iii. If f'(x) does not change sign at x = c,

then f(c) is not a local maximum or minimum of f.

Here f'(x) = -3 which is negative for all real numbers x.

Hence f(x) is decreasing for all values of x.

The value of the function decreases as the value of x increases.

Hence there is no local maximum or minimum.

So, the location of all local extrema is ∅.Answer: ∅.

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The volume of the shaded region is 553.15m³.

A cylinder is a three-dimensional object. It is made up of a prism with a circular base.

Volume of a cylinder = πr²h

Where:

The volume of the shaded region is the volume of the cylinder less the volume of the unshaded region.

Volume of the whole cylinder = 22/7 x 5² x 11 =  864.29 m³

Radius = diameter / 2 = 10 / 2 = 5

Volume of the unshaded region = 22/7 x 3² x 11 = 311.14m³

Radius = diameter / 2 = 6/2 = 3

The volume of the shaded region =  864.29 in³ -  311.14in³ = 553.15m³

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symbolab

Step-by-step explanation:

it's free it can help you a lot I promise