Answer:

x have to be equal to 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratios of their corresponding sides are equal

Thus, we have it that;

AB/AC = DE/DF

9/3(x-1) = 6/x + 1

9(x + 1) = 6(3(x-1))

9x + 9 = 18x - 18

18x-9x = 9 + 18

9x = 27

x = 27/9

x = 3

What are the factors of XÂ² 11x 42?

Therefore , the solution to the problem is **factors** of the given equation comes out be (x-14)(x+3).

By joining two expressions with the** equivalent **sign, a mathematical statement known as an equation is produced. The equation 3x - 5 = 17 is an illustration. By solving this **equation,** we can determine that the value of the variable x is 4.

Here,

In the given question the equation is given as [tex]x^{2}[/tex]-11x-42.

Given polynomial : [tex]x^{2}[/tex]-11x-42

Thus we factorise the given equation

First:

=> [tex]x^{2}[/tex]-14x+3x-42

Second:

=> x(x-14)+3(x-14)

=> (x-14)(x+3)

thus factors comes out to be

(x-14) and (x+3)

Therefore , the solution to the problem is factors of the given equation comes out be (x-14)(x+3).

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Please help me solve

I will mark as brainliest

**Answer: **

**3. B**

**4. C**

**Tell me if you need an explanation, I can add it for you :D**

What are the 4 methods of solving linear equations?

Systems of **linear** **equations** in two variables can be solved in one of four ways: by graphing; by the substitution approach; or by the elimination method and by matrix approach.

A **linear** **equation** is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." Because a straight line emerges when we attempt to display the graph of the provided linear function, a linear equation is known as linear.

Given,

The four methods of solving **linear** **equations** are:

The **Substitution** Method

The **Graphing** Method.

The Addition Method, also known as the Linear Combination Method, and the Elimination Method.

The Matrix Approach

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solve | x + 4 | = -6

**Answer:**

Option D. No solution

**Step-by-step explanation:**

There is no value of x that makes the equation be true since an absolute value can never be negative.

No solution

**Answer:**

OptionD)

**Step-by-step explanation:**

[tex]x + 4 = -6\\x=-6-4\\x=-10\\[/tex]

Since there is no options with -10 only

The correct answer is OptionD)

What does it mean when numbers are closed?

**Whole numbers** are closed under **addition** and **multiplication**. If we add and multiply any two whole numbers, the result will be a whole number.

**What are Whole numbers ?**The numbers that include

If we **add** any two whole numbers, the result will be a whole number. For example, 2 + 4 = 6 and 6 is a whole number.

Therefore, whole numbers are **closed under addition**.

If we **multiply** any two whole numbers, the result will be a whole number. For example, 2 × 4 = 8 and 8 is a whole number.

Therefore, whole numbers are **closed under multiplication**.

Also , Whole numbers are **not closed **under** Subtraction **and** division**.

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What is the factorization of the polynomial below 3xÂ² 36x 81?

The **factorized** form of the formula is (3x+9)(x+9) of [tex]3x^{2}[/tex]+ 36x + 81 = 0 . Quadratics can be defined using a polynomial equation of the second degree.

The mathematical action known as "squaring," which is typically used to describe a quadratic problem, involves multiplying a **variable** by itself. This lexicon is based on the idea that the area of a square is equal to the product of the lengths of its **sides**. The Latin term quadratum, which means square, is where the word "quadratic" comes from.

here ,

= [tex]3x^{2}[/tex] + 36x + 81 = 0

= 3x² + 27x + 9x + 81

= 3x(x+9) + 9(x+9)

= (3x+9)(x+9)

= 3(x+3)(x+9)

The factorized form of the formula is (3x+9)(x+9) of [tex]3x^{2}[/tex]+ 36x + 81 = 0 .

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Killian used blocks to create this figure.

Complete the statement below.

First, divide the figure into two shapes so we can calculate each shape’s area easier and add their areas together to get the total area squared. We will construct a line segment continuing from the 5cm segment. This segment also divides the 15cm length into 8cm.

When we construct this segment, we obtain a parallelogram quadrilateral, assuming that all four angles are 90° each. Because we have two pairs of congruent and assumed parallel segments with all four interior angles being 90,° we have a rectangle by definition. Therefore, we can use the area for a rectangle.

Area of rectangle: A=L•W where A is area, L is length, and W is width.

Let’s input the values into the formula:

A=10•8cm^2

*Note that ^2 means square centimeters or centimeters squared.

A=80cm^2

So, we have found the area for the first figure. Now, we need to add this area to the area of the second figure.

We are missing some measurements for the top figure, so let’s use our bottom figure to find its measurements.

Because the base segment of the entire shape is 10cm and the dividing segment we created is 5cm, we know that the top segment of the top figure is 5cm. Because we know the left whole segment is 15cm and the right segment of the bottom figure is 8cm, we can subtract the whole segment by 8 because 8+L=15 where L is the length of the top segment. So, L=15-8 which means L=7. We know have the dimensions for the top figure to calculate its area. This top figure also forms a rectangle.

A=L•W

A=7•5cm^2

A=35cm^2

Now that we have the area of both shapes, we can calculate the total area by adding the two areas together:

80+35=115

So, the area is 115cm^2.

When we construct this segment, we obtain a parallelogram quadrilateral, assuming that all four angles are 90° each. Because we have two pairs of congruent and assumed parallel segments with all four interior angles being 90,° we have a rectangle by definition. Therefore, we can use the area for a rectangle.

Area of rectangle: A=L•W where A is area, L is length, and W is width.

Let’s input the values into the formula:

A=10•8cm^2

*Note that ^2 means square centimeters or centimeters squared.

A=80cm^2

So, we have found the area for the first figure. Now, we need to add this area to the area of the second figure.

We are missing some measurements for the top figure, so let’s use our bottom figure to find its measurements.

Because the base segment of the entire shape is 10cm and the dividing segment we created is 5cm, we know that the top segment of the top figure is 5cm. Because we know the left whole segment is 15cm and the right segment of the bottom figure is 8cm, we can subtract the whole segment by 8 because 8+L=15 where L is the length of the top segment. So, L=15-8 which means L=7. We know have the dimensions for the top figure to calculate its area. This top figure also forms a rectangle.

A=L•W

A=7•5cm^2

A=35cm^2

Now that we have the area of both shapes, we can calculate the total area by adding the two areas together:

80+35=115

So, the area is 115cm^2.

Type the correct answer in the box. Use numerals instead of words. What percentage of a radioactive substance remains after two half-lives?.

**Answer:**

25%

**Step-by-step explanation:**

[tex](1/2)^2=1/4 \\ \\ \frac{1}{4} \times 100=25\%[/tex]

What are examples of inverse relationships?

Examples of** inverse relationships** are : As the speed of the car increases the time taken to cover certain distance decreases and More buses on the road less space on the road.

**inverse** relationships

An inverse relationship, also known as a negative relationship, is a contrary correlation between two variables such that they move in opposite directions. For example, we have two variables X and Y. As X increases, Y decreases and as Y increases, X decreases .The inverse of a relation is a relation obtained by interchanging or swapping the elements or coordinates of each **ordered pair** in the relation.

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a person goes to store to buy clothes. the probability of the events are independent. the probability of buying a hat is 0.25. the probability of buying a pair of gloves is 0.72. what is the probability of both events occurring?

The **probability** of both **events** occurring is 0.18.

**Probability** is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Since the person goes to store to buy clothes. the **probability** of the events are independent. the probability of buying a hat is 0.25. the probability of buying a pair of gloves is 0.72.

The **probability** of both events occurring will be:

= P(hat) × P(glove)

= 0.25 × 0.72

= 0.18

The **probability** is 0.18.

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Does 2 equal square root?

Therefore , it means if an equation have 2 roots , it means it is a quadratic **function .**

The outcome of multiplying a number by itself produces the original number, which is the **square root** of that number. Squares and square roots are a few of examples of **exponents**. Try to visualize nine. Furthermore, this can be written as 3x3.

Here,

A quadratic function is one where an equation has two roots.

A quadratic function's two roots are equal if D=0.

D (discriminant) = 0 such that b24ac = 0 is needed in order for the roots of a polynomial function to be equal.

As a result, if an equation has two roots, a quadratic function is what it is.

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How many gallons of paint do I need to cover 2000 square feet?

5.7 gallons of** paint** is required to cover an** area** of 2000 square feet

Given,

The quantity of paint = 2 gallons

**Area covered** by 2 gallons of paint = 700 square feet

We have to find the quantity of paint required to cover 2,000 square feet;

Here,

Area covered by 1 gallon of paint = Given area / **Quantity of paint**

= 700 / 2 = 350 square feet

Now,

Quantity of **paint required** to cover 2000 square feet;

2000 / Area covered by 1 gallon of paint = 2000 / 350 = 40 / 7 = 5.7 gallons

That is,

We need 5.7 **gallons of paint** to cover 2000 square feet.

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The given question is incomplete. Completed question is given below;

two gallons of paint will cover 700 square feet. How many gallons of paint are needed to cover 2,000 square feet ?

Is i squared negative 1 or 1?

The value of "**i**" squared results in:

**(-1) = i²**

**Numerical** sets are groupings of numerical values that have a particularity in common, they can be integers, decimals, fractions, among others.

Among the numerical sets there is one that we call** complex numbers**, which include values that are not real, such as "**i**" a letter that denotes that it is an imaginary number.

In function to this type of **numbers** there is a particular value and it is the "**i**" which is the result of the** square root of -1**, then we have:

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Siti bought the bag at a dicount 7%. The original price of a bag wa $50. How much did iti pay for the bag

The amount that should be paid by Siti for the bag is $46.50. A discount is a reduction in the** price **of a** product** or service. It can be expressed as a percentage or as a fixed amount.

**Discounts** can be offered for a variety of reasons, such as to encourage customers to buy a product or to clear out **inventory**. They may be offered to certain groups of customers, such as students or seniors, or they may be available to all customers.

To find out how much Siti paid for the bag, you can use the following formula:

Discounted price = Original price * (1 - discount percentage)

Plugging in the values given in the problem, we get:

Discounted price = $50 * (1 - 7%) = $50 * 0.93 = $46.50

Therefore, Siti paid $46.50 for the bag.

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Consider a computer that uses 5 bits to represent positive and negative integers, using 1 bit for the sign and 4 bits for the actual value. Which of the following operations would result in integer overflow?

7+1

12 + 3

6 + 9

8×2

2×4

1+15

The operation 1+15 would result in **integer overflow**, because the result of this operation (16) cannot be represented with 4 bits.

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need help on these questions. Help anyone, please!

**Step-by-step explanation:**

a linear function is defined as

y = ax + b

the variable x is only occurring with the exponent of 1.

this represents a straight line in a graphic representation (hence the name "linear").

if the exponent of the variable x is not 1, then it is not a linear function

P : y = 3/x + 2³

it is not linear.

the exponent of x = -1, as 1/x = x^-1. -1 is different to 1, which would be needed as exponent of x to make it linear.

Q : y = (1/3)x² + 3

it is not linear.

the exponent of x = 2. and 2 is different to 1, which would be needed as exponent of x to make it linear.

Which equation has an X intercept of 5 and a Y intercept of 10?

**C) 2x+y=10** is the line has an **X intercept** of 5 and **Y intercept** of 10

To find the **eqaution of line** whose** X intercept** and **Y intercept** is given we will use line intercept form of line

The **equation of line** with A units of **X intercept** and B units of

**Y intersect** is given by:

[tex]\frac{x}{A} + \frac{y}{B} =1[/tex] ----(i)

given that A= 5 (**X intercept**) and B= 10 (**Y intercept**)

so equation (i) reduces to

[tex]\frac{x}{5}+\frac{y}{10} =1[/tex]

so 2x + y = 1*10

so the **equation of the line** is **2x+y=10**

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Complete question:

Which equation has an X intercept of 5 and a Y intercept of 10?

A) 3x+2y=10

B) 5x+7y=2

C) 2x+y=10

D) 11x+7y=9

How do you find the height of a pyramid when given the volume and area?

The **height of pyramid** when given the volume and area is estimated as; H = 3 * V / a²

How is the height of the a square pyramid determined?

To find the base area, first square the base edge.Next, divide the base area by the known volume.Finally, divide the result by three to determine the height of the pyramid.H = 3 * V / A_b

In which,

H - height of pyramid;

V- **volume **of pyramid

A_b - base area of pyramid; A_b = a²,

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A population P is growing at the rate of 9% each year and the initial population is P0. Find, as a multiple of P0, the rate of change of population at time t=T when the population has doubled from its initial time?

(Explain why, thank you!

The solution is Option B.

The **rate **of change of population at time t = T when the population has doubled from its initial time is P' = 2P₀ ln ( 1.09 )

**What is an Equation?**

**Equations **are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an **equation**. The "=" sign and terms on both sides must always be present when writing an **equation**.

Given data ,

Let the **equation **be represented as A

Now , the value of A is

The formula for the population at time t is

P ( t ) = P₀ ( 1 + 9/100 )^t

P ( t ) = P₀ ( 1 + 0.09 )^t

P ( t ) = P₀ ( 1.09 )^t

Now , when population is doubled from the initial population ,

P ( t ) = 2P₀

Substituting the values in the **equation **, we get

2P₀ = P₀ ( 1.09 )^t

Taking logarithm on both sides of the **equation **, we get

log ( 2 ) = t x log ( 1.09 )

Divide by log ( 1.09 ) on both sides of the **equation **, we get

t = log ( 2 ) / log ( 1.09 )

To find the **rate **of change , take the derivative

P'( t ) = P₀ ( 1.09 )^t ln ( 1.09 )

Now , we find P'(log(2)/log(1.09))

So , the **equation **will be

P′ ( log( 2 ) / log( 1.09 ) ) = 2P₀ln( 1.09 )

Hence , the **equation **will be A = 2P₀ln( 1.09 )

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A zookeeper predicted the weight of a new baby elephant to be 232 pounds when it was born. The elephant actually weighed 264 pounds at birth. What was the percent error of the zookeeper's prediction?

The percent error in **zookeeper's prediction** on baby elephant's weight is 13.79%.

What is percentage error?

**Percentage** error is the difference between the estimated value and the actual value compared to the actual value, expressed as a percentage. So the percent error is the relative error multiplied by 100.

Uses of percentage error:

The main purpose of calculating percent error is to analyze how close the measured value is to the actual value. This is part of a comprehensive error analysis.

Solution:

Percent error = (Actual weight - Predicted weight/Predicted weight)x100

Percent error = (264 - 232/232) x 100

Percent error = ( 32/232) x 100

Percent error = 0.1379 x 100

Percent error = 13.79%

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What is AAS and AES?

**Answer:**

**⭐ AAS = Angle-Angle-Side**

**⭐ I don't know what AES is.**

**Step-by-step explanation:**

AAS is a triangle congruence statement you use to say that 2 triangles are congruent ≅ (the same).

Here's how to determine if 2 triangles are congruent by AAS:

One of their**Congruent side lengths and congruent angles are often denoted by tick marks.**

**⭐ Example:**

What is the median of 1 to 99?

The **median** of 1 to 99 is 50.

The **midway value** in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three distinct metrics are employed in **mathematics**.

The data set's median is the value in the center. Put all the numbers in ascending or **descending** order, and then choose the **middle** number to determine the median. There will only be one middle integer if the number of data points is **odd**. If the number of data points is even, you must choose the middle two **numbers**, add them together, and **divide** by two. Your median will be that **value.**

**Median**= 99+1/2 = 100/2 = 50th term, which in this case is 50.

Thus, the median of 1 to 99 is 50.

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the w10×15 cantilevered beam is made of a-36 steel and is subjected to the loading shown

For a w10×15 **cantilevered beam** of A - 36 steel subjected to loading as in the attached image, slope at B is 0.0042rad and displacement at B is 0.034ft.

For w10×15, **moment of inertia** I = 68.9in⁴ and for A - 36 steel, Young's modulus E = 29e3 ksi

**Slope** at B

θB = P₂x³/ (2EI) + P₁l³/ (2EI)

θB = (5 × 6³ + 9 × 12³)/ (2 × 29 × 10³ × 68.9)

θB = 0.0042rad

**Displacement** at B

yB = P₂x³(3l - x)/ (6EI) + P₁l³(3l - l)/ (6EI)

yB = ( 5 × 6³ × (3 × 12 - 6) + 9 × 12³ × 2 × 12)/ (6 × 29 × 10³ × 68.9)

yB = 0.034ft

--The question is incomplete, answering to the question below--

"The W10×15 cantilevered beam is made of A - 36 steel and is subjected to the loading shown.

1. Determine the displacement at B, if P1 = 9kip and P2 = 5kip

2. Determine the slope at B, if P1 = 9kip and P2 = 5kip"

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What is the first step when adding and subtracting rational expressions?

The** First step **in adding and subtracting the rational expression is making the denominator equal .

The **Rational Expression** is defined as the expression that is written in the p/q form , where q ≠ 0 .

Let us understand adding and subtracting of the rational expression by an Example .

For Example : add the rational expressions 2/3 and 1/4 .

The First Step in **adding **them is to make the denominator equal ,

to make the **denominator **equal , we take LCM ,

the LCM of 3 and 4 is 12 ,

the rational expression become ⇒ 8/12 and 3/12 .

On adding , we get ; (8 + 3)/12 = 11/12 .

On **subtracting **, we get ; (8 - 3)/12 = 5/12 .

Therefore , making the denominator equal is the first step for adding and subtracting rational expressions .

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How do you read mean and SD?

The variability in your data collection is measured by the **standard deviation.** It reveals the average distance between each score and the mean.

**How to interpret a standard deviation?**

The term** "standard deviation"** (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

**What are the mean, median, and example?**

The most frequent number, or the one that happens the most frequently, is known as** the mode.**

Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

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Determine the Domain and Range

**Answer:**

**Step-by-step explanation:**

domain

**all real numbers**, because the graph keeps going to the left and to the right

range

**y ≥ 1** because the function starts in y = 1 and then keeps going up

For this function, the domain would be:

-∞ < x < ∞

When identifying domain, we go from the left to right on the x-axis. Seeing that there are arrows on both sides, the function is continuous; this can be represented with an infinity sign. If the point that is farthest left is an arrow, it always will be negative because it’s on the left side of the origin.

For this function, the range would be:

1 ≤ y < ∞

When identifying range, we go from the lowest to highest point on the y-axis. Because the lowest point is (2,1), we know that 1 is the lowest range. The highest point would be infinity because there is an arrow represented for it.

-∞ < x < ∞

When identifying domain, we go from the left to right on the x-axis. Seeing that there are arrows on both sides, the function is continuous; this can be represented with an infinity sign. If the point that is farthest left is an arrow, it always will be negative because it’s on the left side of the origin.

For this function, the range would be:

1 ≤ y < ∞

When identifying range, we go from the lowest to highest point on the y-axis. Because the lowest point is (2,1), we know that 1 is the lowest range. The highest point would be infinity because there is an arrow represented for it.

Make Sense and Persevere Neil and Yuki run a data entry service. Neil starts at 9:00 A.M can type 45 words per minute. Yuki arrives at 10:30 A.M. and can type 60 words per minute. Write and solve an inequality to find at what time Yuki will have typed more words than Neil. Let x represent the time in minutes. MP.1 . and

Yuki would have **typed** more than Neil at 10:30 AM and the **inequality** is 45×90+45 × x < 90 × x

We know that Neil started 90 minutes earlier than Yuki by subtracting the time difference So that tells us that

at 10:30 AM Neil would have typed **45 times 90**. After x minutes he would have typed 45*90+45*x and Yuki would have typed 60*x.

Words typed by Yuki will be greater than those that will be **Words** typed by Neil

45×90+45 × x < 90 × x

When we will try in Solving the above** inequality** would give us

x >90

it means that 90 minutes after **10:30 AM**

Yuki would type more than Neil.

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Write an equation for nth 45, 30, 15, 0 sequences and series

**Answer:**

a_n = -15 (n - 4) (for all terms given)

**Step-by-step explanation:**

a_n = -15 (n - 4) (for all terms given)

45, 30, 15, 0, -15, -30, -45, -60, -75, -90, -105, -120, -135, -150, -165, ...

To search for the nth sequence, replace n with the desired term.

Giving 25 points!!!!!! PLEASE HELP

describe the correlation for this scatter plot

**Answer: Strong Negative Correlation**

**Step-by-step explanation:**

i need to find the similarity ratio of the first polygon to the second polygon because i forgot how to do this

The **similarity** **ratio** of first polygon to second polygon is 4 : 1.

If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name given to this usual **ratio**. The ratio of any pair of corresponding sides is the ratio of any two **similar** figures. Simply put, when two figures are found to be similar, all of their associated side pairs have the same ratio.

Given,

Two **polygons** given,

**Ratio** of PQRS polygon = 20

Ratio of EFGH polygon = 5

**Similarity** **ratio**,

20 : 5

Simplifying,

4 : 1

The similarity ratio of first polygon to second polygon is 4 : 1.

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Solutions Inc. signs a 10-year lease for a building owned by Property Inc. that is appropriately classified as an operating lease by both the lessee and lessor. Lease payments are $150,000 per year. The building has an estimated useful life of 30 years with no salvage value. Assume that the building has a fair and carrying value of $2,000,000 at the commencement of the lease, what amount would Property Inc. recognize in its income statement (ignoring taxes) for the year ended December 31, 2020
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Hey can someone tell me what -3x^2(14x^2-2x-8) equals
which role do plants play in the nitrogen cycle?
What was the situation in Germany in the early 1930s that gave Adolf Hitler the opportunity to become the new leader?
A form of government in which a small group rules over the country is known as a(n) ________________________________.
list the 4 major levels of social class (social hierarchy) in a medieval village from highest to lowest
The most significant technological development that has had the most profound impact on how people live, making life different than it was in the Victorian era.
find the quotient 12/156/11
Which sentence is correctly punctuated?OA"I can't believe I got a job at Yvonne's Hair Salon!" shouted Charlese..."Are you sure I don't have to take the exit exam"? asked Sylvester.OC.The teacher looked around and said, "The test will cover chapter five".OD. "Dr. Rivers is the toughest teacher on campus" Paul exclaimed in dismay!
Describe the translation below using words and then write a rule for it.
What is a dangling modifier? A. A description of the verbB. A description of the subject nounC. A description with no clear objectD .A description of the sentence