3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B. Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

To calculate the area of a triangle, we use the formula :

1/2bh, where b = base ; h = height.
-> Area of triangle = 1/2 x 25 x 10 = 125cm2

Answer:

D

Step-by-step explanation:

Area of triangle is 1/2×bh so

The rigid transformations of translation and reflection of the pentagon ABCDE to obtain A'B'C'D'E' gives;

First part;

[tex]AB \cong A'B'[/tex] True

[tex]\angle D \cong \angle D'[/tex] True

[tex] \overline{D'E'} \cong \overline{DE}[/tex] True

[tex] ABCDE \cong A'B'C'D'E'[/tex] True

Second part;

Their perimeters are equal; True

The area of the image is greater; False

They are congruent; True

Their orientations are the same; False

A rigid transformation is an Euclidean space one in which the distances between corresponding points on the figure and the image are preserved.

The vertices of the pentagonal figure are; A(-3, 4), B(0, 5), C(1, 4), D(1, 2,), and E(-2, 1)

The transformation are;

Translation transformation

Vertical translation transformation 2 units downwards

Horizontal translation of 5 units to the right

The coordinates of the vertices of the pentagon following the transformations are;

A(-3, 4) → (-3 + 5 + 4 - 2) → (2, 2)

B(0, 5) → (0 + 5 + 5 - 2) → (5, 3)

C(1, 4) → (1 + 5 + 4 - 2) → (6, 2)

D(1, 2) → (1 + 5 + 2 - 2) → (6 0)

E(-2, 1) → (-2 + 5 + 1 - 2) → (3 -1)

Reflection;

A reflection in the y–axis, which gives;

(2, 2) Reflection in y–axis gives A'(-2, 2)

(5, 3) Reflection in y–axis gives B'(-5, 3)

Similarly, we have;

(6, 2) → C'(-6, 2)

(6 0) → D'(-6, 0)

(3, -1) → E'(-3, -1)

AB = √((0-(-3))² + (5 - 4)²) = √(10)

A'B' = √(((-5)-(-2))² + (3 - 2)²) = √(10)

Therefore;

[tex]AB \cong A'B'[/tex]

Similarly, given that the specified transformations of translation and reflection are rigid transformations, we have;

[tex]\angle D \cong \angle D'[/tex]

[tex] \overline{DE} \cong \overline{D'E'}[/tex]

[tex] ABCDE \cong A'B'C'D'E'[/tex]

Second part;

Given that the transformation are rigid transformations, we have that the perimeter of the figure and the image have the following statements that are true

Their perimeter are equal

The areas of the image and figure are the same

They are congruent

The orientation are different following the reflection which reverses the order of the appearance of the vertices relative to the y–axis

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1. In a situation when a heat capacity is negative, it should instead be set to zero since it is not possible for an object to not be able to have internal energy.

2. A negative value mean that an object is continuously releasing or creating energy which violates the Law of Conservation of Energy.

An experiment is a technique that is carried out to support or deny a hypothesis, or to test the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by revealing what happens when a certain element is changed.

When a system loses energy, such as through radiating energy into space, the average kinetic energy increases. If temperature is defined by average kinetic energy, the system is said to have a negative heat capacity.

Heat transfer into a system is positive, whereas heat transfer out of a system is negative. It means that any heat transfer that raises a system's energy is positive, whereas any heat transfer that decreases a system's energy is negative.

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The number of Nickle is 7 and number of dimes is 13.

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. LHS = RHS is a common mathematical formula.

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:

Michael has $1.65 worth of nickels and dimes.

He has 6 more nickels than dimes.

Let x be the number of nickels

then,  the number of dimes = x + 6

as, we know that nickel is worth 5 cents.  

A dime is worth 10 cents.

So, 0.05x + 0.10(x + 6) = 1.65

0.05x + 0.10x + 0.60 = 1.65

0.15x = 1.65- 0.60

0.15x = 1.05

x= 7

Hence, the number of Nickle is 7 and number of dimes is 13.

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Answer:

Step-by-step explanation:

I believe it should be 7, but 21 is out of the question. And 14 seems it would be too much,

The probability of students who took the sat scored less than 350 on the math section is 0.0643

The following can be deduced:

Population Mean,μ = 528

Population Standard Deviation,σ = 117

X follows a normal distribution

I.e X ~ N ( μ = 528 ,σ = 117 )

The formula for z score is:

z = (x - μ) / σ

Subtract the mean and then divide by the standard deviation to turn x into a standard Normal z

X ≤ 350

(x-528)/117 ≤ (350-528)/117

z ≤ -1.52

Now, by using a standard normal distribution table

The area left of -1.52 = 0.0643

Therefore, the required probability is 0.0643.

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Answer: 1.176 pounds of sugar per dollar.

Step-by-step explanation:

3 / 2.55 = 1.1764705

The number of batches of cookies that can be made with 4 pounds of flour is 6 batches.

In order to determine the number of batches of cookies that can be made, divide the amount of flour by the fraction that represents the amount of flour needed for a batch of cookies.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number.

Number of batches that can be made = amount of flour ÷ amount of flour needed for one batch

4 ÷ 2/3

4 x 3/2 = 6 batches

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The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]y = -4x-3[/tex] is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope of the line = -4

The line passes through (-2 , 5)

Equation of the required line =

[tex]y - 5 = -4(x - (-2))\\y - 5 =-4x - 8\\y = -4x - 8+5\\y = -4x-3[/tex]

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Answer: 24

Step-by-step explanation:

Factors of 96:  1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120

Highest number between the two sets of factors which is common is 24

Answer: 3x+14

Step-by-step explanation:

Evaluate 4.2x+3−1.2x+11

Subtract the terms 3x+3+11

Solution 3x+14

Answer:

(5/2), 6, (3/4)?, and (20/3)

Step-by-step explanation:

See attached image.

Answer:

Follow these steps for find x

Possible answer:

y = 2x + 60

Step-by-step explanation:

First, we will have to find the slope for the line that passes through those points, because parallel lines have the same slope but different y-intercepts. We only need the slope.

Let's use the formula for finding the slope from two points: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. My work is shown below:

[tex]\frac{9-1}{2-(-2)} \\\frac{8}{4} \\2[/tex]

The slope is 2, so this will be the slope for our parallel line. Parallel lines can have any y-intercepts, so let's just pick a random one - 60 (yours doesn't have to be this, I just picked one at random). So, one example of an answer to this question would be y = 2x + 60.

Using the equation x - 7 = 12, we can apply it to find the number of students in Mrs. Jones' class, where the girls are 12 and the boys are 7.

An equation is a mathematical statement that two or more expressions share equality or are equivalent in value.

The equation sign (=) is used when two expressions or values are equal.

x - 7 = 12

Where the number of girls = 12

And the number of boys = 7

x = 12 + 7

x = 19

Thus, we can conclude from the equation x - 7 = 12 that x is the total number of students in Mrs. Jones' class.

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Answer:

y= x +4

Step-by-step explanation:

The equation of a line can be written in the slope-intercept form, y= mx +c, where m is the slope and c is the y-intercept.

Overview of steps:

The slope can be found using the gradient formula below:

[tex]\boxed{\text{Gradient} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

Given: (5, 9) and (0, 4)

Start by finding the slope, m:

m

[tex] = \frac{9 - 4}{5 - 0} [/tex]

[tex] = \frac{5}{5} [/tex]

= 1

Substitute m= 1 into y= mx +c:

y= x +c

In this case, the y-intercept is given by the point (0, 4). This is because y-intercepts occur at x= 0. This also means that c takes the value of 4.

Substitute c= 4:

y= x +4

Thus, the equation of the line is y= x +4.

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ANSWER: y - 0 = 7/2(x - 6)

STEP-BY-STEP EXPLANATION:

The formula for point-slope form is y - y1 = m(x - x1).

From the two points given, y1 is 0 while x1 is 6.

m in the formula is the slope, so it needs to be found:

(y2 - y1)/(x2 - x1)

(7 - 0)/(8 - 6)

7/2

Answer:

Remember, when you are calculating the slope from two given points, you are finding the change in y over the change in x.

P1   =  ( x1,  y1 )

P2   =  ( x2,  y2 )

m = Δy  / Δx   --->      m = (y2 - y1) / (x2 - x1)

Now let's assign the given points:

(-8, -6)  -->   x1 = - 8   &   y1 = -6

(-4, 2)   -->    x2 = -4    &   y2 = 2

Now, let's plug these values into the slope formula:

m = (y2 - y1) / (x2 - x1)

= (2 - (-6)) / ((-4) - (-8))

Let's simplify:

(2 - (-6)) / ((-4) - (-8))

= (8) / (4)

= 2

Therefore, the slope, or m, is 2.

Now that we have found the slope, let's write out the final equation in point-slope form.

What is required for the equation is a slope, and any pair of points on the line. Since we were given two to choose from, I will use (-4, 2) in this case.

Remember, the point-slope formula is:  y - y1 = m (x - x1)

In terms of this formula:

m  =   2

y1  =   2  

x1  =  -4

Let's plug in these values into the point slope formula and simplify:

y - y1 = m (x - x1)

y - (2)  =  (2)(x - (-4))

y - 2  =  2(x + 4)

y - 2  = 2x + 8

y = 2x + 10

Therefore, our final answer is: y = 2x + 1

Step-by-step explanation:

i gat that from https://www.wyzant.com/resources/answers

1) The fraction is given as,

c) The fraction is given as,

d) The fraction is given as,

Answer: 15

Step-by-step explanation:
We can do 57/4 to get 14 with a remainder of 1
Because we want all the kids to get to the park they will need to get another car to carry the last kid.

Divide [tex]\frac{p^{3} - 13p +12 }{p +4}[/tex] by p+4  is [tex]p^{2} -4p +3\\[/tex]

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping. An equation that establishes a connection between all four components of the division is known as the division algorithm. The dividend value is always equal to the product of the divisor and the quotient added to the remainder in any division fact. Dividend = (Divisor Quotient) + Remainder is the general formula for division. The algorithm for division is used in this.

=[tex]\frac{p^{3} - 13p +12 }{p +4}[/tex]

= [tex]p^{2} -4p +3\\[/tex]

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Answer:

what is the slope and the rest of them

the slope intercept form would be y=mx+b so you would need to help me help you. I just need to know a little information about this. Try sending me a picture of your problem or something so that I can help you!

The part of speech of word 'rainstorm' is a noun in the sentence 'the campers were drenched by the rainstorm'.

There are eight parts of speech. They are noun, pronoun, adjective, verb, adverb, preposition, conjunction, and interjection. Further, these parts of speech are subdivided into different types.

A noun is the name of a person (for example, Ram, Neetu, John, etc.), place (for example, Delhi, Lucknow, Jaipur, America, etc.) or a thing (for example, table, desk, pen, rainstorm, etc.).

There are five types of noun: proper noun, common noun, abstract noun, material noun and collective noun.

Hence, the italicized word in the given sentence is a noun.

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Answer:

Absolute value means taking the positive value, ie drop the negative sign.

Absolute value brackets are: | value |

|(4,-4)| = (4,4)

|(-3,-4)| = (3,4)

Hope that helps

Answer:

Please see attachment for explanation and answer.

Answer: 6x+3

Step-by-step explanation:

1. First calculate the variables : x+5x=6x

2.add the number(s)= 6x+3

=6x+3

We are 95% certain that 12 to 28% of the young women in your neighborhood have at least one of the most prevalent STDS.

This is further explained below.

Generally, Given that the parameters are

n=100

P=0.20

at [tex]\alpha=0.05\left(0 .5 \quad \tau_{\alpha / 2}=1.96\right.[/tex]

95% C. I

The equation for the confidence interval is

[tex]P \pm z \sqrt{\frac{p(1-p)}{n}}[/tex]

Where

n=sample size

P=sample proportion

Hence solve for the confidence interval

0.20[tex]\pm[/tex] 1.96 [tex]\sqrt{\frac{0.20(1-0.20)}{100}}[/tex]

0.20 [tex]\pm[/tex] 0.0784

[tex](0.1216,0.2784)[/tex]

(12%, 28%)

Interpretation: We have a 95% confidence that between 12 and 28 percent of the young women in your area are infected with at least one of the most frequent STDs.

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Using proportions, we find that the hedgehog loses 3.45 ounces after 115 days of hibernation.

Here, we are given a table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation

A proportional relationship is mathematically represented as-

y = kx

where k is the constant of proportionality.

Here x = days in hibernation and y = loss in weight

From the table we see that when x = 8, y = 0.24

⇒ 0.24 = 8k

8k = 0.24

k = 0.24/ 8

k = 24/ 800

k = 3/100

k = 0.03

Now, when x = 115, y will be-

y = 0.03*115

y = 3.45

Thus, using proportions, we have found that the hedgehog loses 3.45 ounces after 115 days of hibernation.

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Your question was incomplete. Check for full content below-

The table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 115 days of​ hibernation? Use pencil and paper. Explain how you know that the relationship between the​ hedgehog's weight loss and the number of days of hibernation is proportional.

Weight Loss of Hedgehog

Days of Hibernation    8        28      75      93

Loss in Weight​ (oz)    0.24   0.84   2.25   2.79

Answer:

155

Step-by-step explanation:

125 (1+24%) = 155