Please HELP
Geometry
Z1 and Z2 are a linear pair, mZ1 = x - 12, and mZ2 = x+88.
Find the measure of each angle.

I also need a step by step tutorial it would be extremely helpful! :(

Answer:

a. cannot be larger than 1

Answer:

b ≈ 9.5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , tat is

AC² + BC² = AB²

b² + 3² = 10²

b² + 9 = 100 ( subtract 9 from both sides )

b² = 91 ( take square root of both sides )

b = \(\sqrt{91}\) ≈ 9.5 ( to 1 decimal place )

Answer:

Tetsuo can play 12 games at RetroRama with his 50 arcade tokens. He will have 2 tokens left over.

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Answer:

Hourly babysiter money rates. (every hour is $15)

Step-by-step explanation:

Histograms display data using bars of diffrent heights. So on one side you could put the time and on the other side you could put money.

Hope this helps!

The characteristic displayed by the graph by virtue of the number of turning points and end behaviour is; Odd function.

It follows from the task content that the characteristic displayed by the graph is to be determined.

By observation, first, the graph has a odd number of zeroes and also has 2 turning points; it most likely indicates that the graph is of degree 3 and it's end behaviours suggest an odd function.

On this note, it can be inferred that the given graoh is an odd function.

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A rectangle measures 3 1/3 inches by 2 1/2 inches what is its area ? Find the area of the last part .

we know that the area of a rectangle is the product of it's dimensions

so, the area of the given rectangle would be

so ,the measure of the last part would be

\(\frac{1}{3} \times \frac{1}{2} \\ = \frac{1}{6} \)

The solution to the given differential equation is y(t) = (t - 1)sin(t) + 1.

To solve the given differential equation using Laplace transform, we first take the Laplace transform of both sides. Applying the Laplace transform to the left-hand side of the equation gives us   \((\)\(s^2\)\(Y\) \(- sy(0) - y'(0)) + Y\) = 2/\(s^2\), where Y(s) represents the Laplace transform of y(t). Substituting the initial conditions y(π/4) = π/2 and y' = 2 - √2,

we obtain the equation (\(s^2\)\(Y\) - πs/2 - 2 + √2) + Y = 2/\(s^2\).

Rearranging the equation, we have Y(s) = (2/\(s^2\) + πs/2 + 2 - √2) / (\(s^2\) + 1). To find the inverse Laplace transform and obtain the solution y(t), we can decompose the fraction on the right-hand side into partial fractions. After performing the partial fraction decomposition, we can take the inverse Laplace transform to obtain the solution.

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The solution to the equation is x = -1.

The given equation is log6(x + 4) + log6(x + 3) = 1. Using the logarithmic identity logb(x) + logb(y) = logb(xy), we can simplify the given equation to log6((x + 4)(x + 3)) = 1. Now we can write the equation as 6¹ = (x + 4)(x + 3). Simplifying further, we get x² + 7x + 12 = 6.

Therefore, x² + 7x + 6 = 0.

Factoring the equation, we get:

(x + 6)(x + 1) = 0.

So, the solutions are x = -6 and x = -1. However, we need to check the solutions to ensure that they are valid. If x = -6, then log6(-6 + 4) and log6(-6 + 3) are not defined, which is not a valid solution. If x = -1, then we get:

log6(3) + log6(2) = 1,

which is true.

Therefore, the solution to the equation is x = -1.

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The persons or group of person that advocated the angelic viewpoint of Jesus Christ are the

The Ebionites were an early Jewish Christian sect who believed that Jesus was a human Messiah and rejected his divinity. The Docetists believed that Jesus only appeared to be human and that his physical body was an illusion.

Witnesses believe in a one God rather than the Trinity. They, like other Christians, believe that Jesus Christ died for the sins of humanity and was resurrected after his crucifixion.

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Select the persons or groups which advocated the following viewpoint of Jesus Christ.

angel:

Arius

Ebionites

Jehovah Witnesses

Socinianism

Eutychus

Cerinthus

Unitarians

Nestorius

Docetists

Apollinaris

Answer:

a. 5

Step-by-step explanation:

The original amount Sara has left is 172/209

The calculation can be done as follows

Let y represent the amount left

9/11 × 836

= 7524/11

= 110

Y  can be calculated as follows

Y + 38 +110= 836

148 + Y= 836

Y= 836 - 148

Y= 688

Therefore the fraction is

688/836

= 172/209

Hence the fraction of the original amount left is 172/209


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Answer:

The substitution method can be used for any set of equations.

I'll proceed assuming you meant to ask how the substitution method can be used to solve for x and y in the 2 equations you entered.

------------------------

y=2x-1 and y=-3x+4

Since both expressions on the right sides of the eqns = y, they equal each other.

2x-1 = -3x+4

This is substitution, the right sides were substituted for y.

Add 3x

5x-1 = 4

Add 1

5x = 4

x = 1 x

Now substitute 1 for x into either eqn to find y.

y = 2*1-1

y = 1 y

we're done.

Step-by-step explanation:

Answer:

x=7

y=22

Step-by-step explanation:

So how you do these problems is to basically solve this as an algebraic equation since we know that both of your problems are the same due to the transitive property of equality.

\(2x+8=3x+1\\2x=3x-7\\-x=-7\\x=7\)

Now that we know that x is 7, substitute it into the equations:

\(y=2*7+8\\y=14+8\\y=22\)

In conclusion, by substitution, x=7 and y=22. Hope this answered your question :D

The objective of the study is to determine if guests at all-inclusive resorts consume a significantly different amount of alcohol compared to guests at non-inclusive resorts. The data collected includes the number of drinks consumed in a day by guests at all-inclusive resorts and guests at non-inclusive resorts. Hypothesis testing is conducted with a significance level of 0.05 to test the null and research hypotheses.

The null hypothesis (H0) states that there is no significant difference in the amount of alcohol consumed between guests at all-inclusive resorts and guests at non-inclusive resorts. The research hypothesis (H1) states that there is a significant difference in the amount of alcohol consumed between the two groups.
To conduct the hypothesis test, statistical analysis can be performed using software such as SPSS. The appropriate statistical test for this scenario is an independent samples t-test, which compares the means of two independent groups.
After conducting the t-test analysis, the output will provide information such as the test statistic, p-value, and confidence intervals. With a significance level of 0.05, if the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a significant difference in alcohol consumption between the two groups. Conversely, if the p-value is greater than 0.05, we fail to reject the null hypothesis, indicating that there is no significant difference.
By following the 4 steps of hypothesis testing (formulating the hypotheses, selecting a significance level, conducting the test, and interpreting the results), the conclusion can be drawn based on the obtained p-value and its comparison to the significance level. The SPSS output will provide the necessary evidence for calculations and interpretation.

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Answer:

c

Step-by-step explanation:

1.) move all terms that are not x to the right side.of the inequalities.

10+x≤20 4x≥-24

-10 -10 4 4

x≤10 x≥-6

2.) combine the two equations to make -6≤x≤10

Answer: 3.25 x < 26.50. He ca buy 8 bracelets

Step-by-step explanation:

Omar has a gift card for $40.00.

Omar bought a hat for $13.50

You subtract the following = $40.00 - $13.50 = $26.50

Next He would like to buy souvenir bracelets for his friends.

Each bracelet costs the following = $3.25

Let "x" stand for the number of bracelets he can buy.

This would be the equation 3.25x ≤ 26.50

Now time to solve the inequality.

Dividing both sides by 3.25, we get the following answer X<8.15

The bracelets cannot be in decimal form.

So we round off to nearest whole number.

Which is the following number x ≤ 8

Therefore, we know Omar can buy 8 bracelets.

Hope this helps :)

Answer:

Solution:

Let another number be x.

Then positive number = 5x

According to the question,

5

�

+

21

=

2

(

�

+

21

)

5x+21=2(x+21)

⇒

5

�

+

21

=

2

�

+

42

⇒5x+21=2x+42

⇒

5

�

−

2

�

=

42

−

21

⇒5x−2x=42−21

⇒

3

�

=

21

⇒3x=21

⇒

�

=

21

3

=

7

⇒x=

3

21

​

=7

Hence another number = 7 and positive number = 7 x 5 = 35.

Answer:

3x-x+2=4

Step-by-step explanation:

your welcome

The amount of paper needed to cover the rectangular pyramid aquarium is calculated as: 128 cm².

A rectangular pyramid is a 3-dimensional solid shape that has a rectangular base and triangular faces that meet at a single vertex. To find the area of a rectangular pyramid aquarium, we need to find the sum of the areas of its faces.

Area of base rectangle = length * width = 8 * 5 = 40 cm².

Area of 2 identical triangular faces = base * height = 8 * 6 = 48 cm².

Area of 2 identical triangular faces = base * height = 5 * 8 = 40 cm².

Amount of paper needed to cover the glass = surface area = 40 + 48 + 40

= 128 cm².

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A symbol that completes the inequality 6x - 3y ___ -12 is: C. ≥.

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Next, we would evaluate the inequality by using specific ordered pairs (x, y) as follows;

(0, 0)

6(0) - 3(0) ? -12

0 ≥ -12

(1, 2)

6(1) - 3(2) ? -12

0 ≥ -12

(-1, 2)

6(-1) - 3(2) ? -12

-12 ≥ -12

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The number of different simple random samples of size 4 that can be obtained from a population of size 45 is 1,011,690. This means there are over a million possible combinations of individuals that can be selected from the population.

The number of different simple random samples of size 4 that can be obtained from a population of size 45 is given by the combination formula:

C(45, 4) = 45! / (4! * (45 - 4)!) = (45 * 44 * 43 * 42) / (4 * 3 * 2 * 1) = 1,011,690

Therefore, there are 1,011,690 different simple random samples of size 4 that can be obtained from a population of size 45. This means that if we were to randomly select 4 individuals from the population, there would be over a million possible combinations of individuals that we could select.

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It is true that the expressions √3 + 5 and √2x/3y  cannot be simplified while the expression (x + y)3/2 can be simplified

Expressions are mathematical statements that are represented by variables, coefficients and operators

Expression 1

The expression is given as

√3 + 5

The above expression is a combination of a radical expression and an integer

The radical expression √3 cannot be simplified

This means that the expression √3 + 5 cannot be simplified

Hence, the expression √3 + 5  cannot be simplified

Expression 2

The expression is given as

√2x/3y

The above expression is a combination of radical expressions

However, the radical expressions do not have a common factor

This means that the expression √2x/3y cannot be simplified

Hence, the expression √2x/3y  cannot be simplified

Expression 3

The expression is given as

(x + y)3/2

Open the bracket

(x + y)3/2 = 3/2x + 3/2y

This means that the expression (x + y)3/2 can be simplified

Hence, the expression (x + y)3/2 can be simplified

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The required answer is  a 5 5 matrix is a diagonalizable.

Explanation,

Yes, the matrix a is diagonalizable. This is because if a 5x5 matrix has two eigenvalues, and one eigenspace is three-dimensional while the other is two-dimensional, then the matrix is guaranteed to be diagonalizable. This is because the sum of the dimensions of the One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. A matrix is diagonalizable if the sum of the dimensions of its eigenspaces is equal to the size of the matrix. In this case, the dimensions of the eigenspaces are 3 and 2, which add up to 5. Since the size of the matrix A is also 5 the sum of the dimensions of the eigenspaces is equal to the size of the matrix. Therefore, matrix A is diagonalizable. must equal the size of the matrix , and because the eigenvectors associated with each eigenvalue form a linearly independent set, it is possible to diagonalize the matrix using those eigenvectors. Therefore, a is diagonalizable because the dimensions of its eigenspaces add up to 5 and its eigenvectors are linearly independent.

The study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices.

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The volume of the sphere with a diameter of 28 millimeters is 4398.23 cubic millimeters.

To find the volume of a sphere with a diameter of 28 millimeters, we can use the formula for the volume of a sphere, which is V = (4/3)πr³, where V is the volume, r is the radius, and π (pi) is a mathematical constant approximately equal to 3.14159.

Step 1: Calculate the radius.

Since the diameter is 28 millimeters, the radius is half of that, which is 14 millimeters (28/2).

Step 2: Use the volume formula.

V = (4/3)πr³

V = (4/3)π(14³)

Step 3: Calculate the volume.

V = (4/3)π(2744)

V ≈ 4398.23 cubic millimeters

So, the volume of the sphere with a diameter of 28 millimeters is approximately 4398.23 cubic millimeters.

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) = f(x +4) = 10^x+4

So the graph of the function g is the graph of function 4 units to the right

B is the answer

The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is n² + 26n + 88

Put that expression to get the solution

          n² + 26n + 88 = 0

 n² + 22n + 4n + 88 = 0

n(n + 22) + 4(n + 22) = 0

          (n + 4)(n + 22) = 0

The value of n is negative 4 and negative 22.

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Answer:

D:75

Step-by-step explanation:

all angles of a triangle equal 180, so add 70+35 and you get 105, then subtract that from 180 and you'll get the remaining angle which is 75.

Answer:

75

Step-by-step explanation:

Step-by-step explanation:

m = slope

b = intercept

so y = 2x + 6

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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