given: AB ≈ DC ; AC ≈ DB

PROVE: ABC ≈ DCB

THE DIAGRAM SHOWS A 2 COLUM PROOF. ORDER THE REASONS SHOWN IN THE LIST TO MATCH THE STATEMENTS GIVEN IN THE PROOF ​

The actual length of the bus is given as follows:

45 feet.

The actual length of the bus is obtained applying the proportions in the context of the problem.

The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:

5/0.5 = 10 feet.

The length of the drawing is given as follows:

4.5 inches.

Hence the actual length of the bus is given as follows:

4.5 x 10 = 45 feet.

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The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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The terms a0, a1, a2, and a3 of the sequence {an} in each case are as follows:

a. a0 = 0, a1 = 3, a2 = 6, a3 = 9

b. a0 = 0, a1 = 2, a2 = 12, a3 = 72

c. a0 = 0, a1 = 0.5, a2 = 1, a3 = 1.5

d. a0 = 0, a1 = 1, a2 = 2, a3 = 3

a. 2n + n

a0 = 2*0 + 0 = 0

a1 = 2*1 + 1 = 3

a2 = 2*2 + 2 = 6

a3 = 2*3 + 3 = 9.

b. n(n+1)!

a0 = 0(0+1)! = 0

a1 = 1(1+1)! = 2

a2 = 2*(2+1)! = 12

a3 = 3(3+1)! = 72

c. [n/2]

a0 = [0/2] = 0

a1 = [1/2] = 0.5

a2 = [2/2] = 1

a3 = [3/2] = 1.5

d. [n/2] + [n/2]

a0 = [0/2] + [0/2] = 0

a1 = [1/2] + [1/2] = 1

a2 = [2/2] + [2/2] = 2

a3 = [3/2] + [3/2] = 3

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Step-by-step explanation: We may determine the range of potential further miles Charlie will run by deducting his present mileage from the maximum mileage if he has already run 17 miles and will only cover 35 miles this week.

Maximum mileage - current mileage = potential extra miles.

17 miles minus 35 miles equals 18 miles.

As a result, Charlie may run somewhere between 0 and 18 additional miles.

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Answer:

18 possible numbers

Step-by-step explanation:

If Charlie has already run 17 miles and he will run at most 35 miles this week.

We can calculate the possible numbers of additional miles he will run by subtracting the distance he has already run from the maximum distance he can run.

Maximum distance Charlie can run = 35 miles

Distance Charlie has already run = 17 miles

Possible additional miles he will run = Maximum distance - Distance already run

                              = 35 miles - 17 miles

                              = 18 miles

Therefore, there are 18 possible numbers of additional miles Charlie will run.

The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.

Answer:

5.5

Step-by-step explanation:

Given the set of data

5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

The average of the least and the greatest value is known as the midrange

The formula for calculating the midrange is expressed as shown:

Midrange = (Greatest value + Least value)/2

Given

Greatest value = 10

Least value = 1

Midrange = 10+1/2

Midrange = 11/2

Midrange = 5.5

Hence the midrange of the data is 5.5

The planes that are parallel in the cube shown would be C. NOR and LMP.

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

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Answer:

= 1799   or   224.875

     8

Step-by-step explanation:

5³ − (6/48) + 10²

= 125 - (0.125) + 100

= 224.875

or

5³ − (6/48) + 10²

= 125 - 1/8 + 100

= -1/8 + 225

= (225 * 8)/8 - 1/8

= (225 * 8-1) / 8

= 1799   or   224.875

     8

Answer:

\(\huge \boxed{\frac{1799}{8} }\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(\displaystyle 5^3-(\frac{6}{48} )+10^2\)

Solving for exponents:

\(\displaystyle 125-(\frac{6}{48} )+100\)

Adding or subtracting:

\(\displaystyle -(\frac{1}{8} )+100+125\)

\(\displaystyle -(\frac{1}{8} )+225\)

\(\displaystyle -(\frac{1}{8} )+\frac{1800}{8}\)

\(\Rightarrow \ \displaystyle \frac{1799}{8}\)

\(\rule[225]{225}{2}\)

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

x = -19/2

Step-by-step explanation:

The heights at which the river bottom is 20 feet below the surface of the water is given as follows:

h = 100 m or h = 380 m.

The function for this problem is given as follows:

d(h) = 0.2|h - 240| - 48

The variables are given as follows:

The horizontal distance when the river bottom is 20 feet below the surface water is given by h when d(h) = -20, as follows:

-20 = 0.2|h - 240| - 48

0.2|h - 240| = 28 (applying the commutative property and moving 48 to the other side).

|h - 240|  = 28/0.2

|h - 240| = 140.

The absolute value means that there are two possible solutions:

The first solution is then obtained as follows:

h - 240 = -140

h = -140 + 240

h = 100m.

The second solution is then obtained as follows:

h - 240 = 140

h = 140 + 240

h = 380 m.

The missing text section for the problem is given as follows:

"The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 0.2|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom."

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No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer:

3(x+4) = 3(x) + 3(4)

=3x+12

Let me know if this helps!

The answer is:

Work/explanation:

Simplify by distributing 3:

\(\sf{{3(x+4)}}\)

\(\sf{3\cdot x + 3 \cdot4}\)

\(\sf{3x+12}\)

The property used above is the distributive property.

Answer:

Step-by-step explanation:

The small swordfish costs 912$ and weighs 76 pounds

The large swordfish costs 2736$ and weighs 228 pounds

Answer:

added in the picture

Step-by-step explanation:

added in the picture

The Fallacy mentioned in the arguments is the accident fallacy.

Fallacies are common crimes in logic that will undermine the sense of your argument. Fallacies can be moreover illegitimate arguments or inapplicable points and are frequently linked because they warrant substantiation that supports their claim.

Logical fallacies make an argument weak by using incorrect beliefs ideas, invalid arguments, fallacious arguments, and/or deceptiveness. However, avoid fallacies of study because they produce sins in an argument If you're arguing.

An accident fallacy is a logical fallacy, meaning a logical error that weakens the argument being made, in which a conception is applied to a situation where, in reality, it doesn’t apply. It may be committed due to neglectfulness or because one has the supposition that conceptions will apply to all analogous situations, indeed though there are clear exceptions.

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The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

B

..................

20 packages

Step-by-step explanation:

Divide 156 by 8 and you get 19.5. Angie needs 156 candles, so you round 19.5 to 20.

Answer:

the answer would be true

Answer:

FALSE

Step-by-step explanation:

The answer is false because the length between DC is 6 and the length between EB is 8. If the lines were parallel, both lines would have the same length.

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer: To find the inverse of the function f(x), we need to switch the roles of x and y, so that x becomes the dependent variable and y becomes the independent variable. Then, we need to solve for x in terms of y.

Let y = √x - 5, then x = y^2 + 5.

To find f^-1(2), we need to substitute 2 for y in the equation x = y^2 + 5:

x = 2^2 + 5 = 9

So f^-1(2) = 9.

This means that the inverse of f(x) at 2 is 9. In other words, if f(x) = 2, then x = 9.

Step-by-step explanation:

Hello,

I hope you and your family are doing well!

To find the percent of decrease in the winning time, you can use the following formula:

percent decrease = (old value - new value) / old value * 100%

Plugging in the values from the problem, we get:

percent decrease = (11.0 seconds - 10.49 seconds) / 11.0 seconds * 100% = 0.51 seconds / 11.0 seconds * 100% = 4.636363636363636%

Rounding to the nearest tenth, the percent of the decrease in the winning time is:

4.6%

This means that the winning time decreased by 4.6% between the 1960 Olympics and the 1988 Olympics.

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Happy Holidays!

Answer:

10 acres

Step-by-step explanation:

Land for coconuts =

\( \frac{3}{8} = \frac{15}{40} \)

Land for bananas =

\( \frac{4}{5} \times \frac{5}{8} = \frac{20}{40} \\ = \frac{4}{8} \\ = \frac{1}{2} \)

Land left for rice =

\( \frac{40}{40} - \frac{15}{40} - \frac{20}{40} = \frac{5}{40} \\ = \frac{1}{8} \)

Land for bananas =

\( \frac{1}{8} = 2.5 \\ \frac{4}{8} = 2.5 \times 4 \\ = 10\)

Answer:

The inequality that can represent it is;

Explanation:

Given that Dracula wants to earn more than $142 for mowing yards.

If he earns $18 per yard.

Let C represent the number of yards he must mow.

The amount Dracula will earn from mowing C yards is;

since Dracula wants to earn more than $142, then the inequality that can represent it is;

Answer:

mom clock usualli a h i j o

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2