Using side lengths only, could the triangles be similar?

As Cheng has already driven 42 miles and needs to drive a total of 201.9 miles, the remaining miles to be covered by him equals to the distance of 159.9 miles.

In calculations, the term "mile" is a unit of length in the imperial and US customary systems of measurement. Currently, a mile is defined as 5,280 feet, 1,760 yards or 1,609.344 meters.

Given that Cheng has driven 42 miles and He needs to drive a total of 201.9 miles, the total mile to be covered by Cheng:

= 201.9 miles - 42 miles

= 159.9 miles

Therefore, the number of miles that Cheng must drive equals to 159.9 miles.

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Answer:

I think so.

Step-by-step explanation:

The mechanical energy of the system is the sum of the kinetic energy and potential energy. By substituting the given values, the mechanical energy can be calculated.

To calculate the mechanical energy, we sum the given kinetic energy (KE = 2.0 J) with the potential energy (U(x=5.0)) obtained by substituting x=5.0 into the potential energy equation U(x)=-4x*e^(-x/4). The mechanical energy is the sum of these two quantities. Plotting U(x) as a function of x for 0 ≤ x ≤ 10 m involves substituting different values of x into the potential energy equation and plotting the corresponding points on a graph. The mechanical energy line represents a constant value on the y-axis and can be drawn parallel to the x-axis.

The expression for the conservative force F(x) can be derived from the negative derivative of the potential energy function U(x) with respect to x. Taking the derivative and negating it will give the expression for F(x). To find the finite value of x at which F(x) equals zero, we locate the points where the potential energy curve crosses the x-axis. These points correspond to the positions where the force becomes zero.

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The improper fraction [(n² + 4)] / [(n + 5)] is not in simplest form for 2024 integers between 1 and 2023 inclusive.

We notice that the numerator of the fraction is always of the form n² + 4, which is always greater than or equal to 4 for any n. Also, the denominator is always positive, since n + 5 is always positive for n ≥ -5.

For the fraction to not be in simplest form, the greatest common divisor of the numerator and denominator must be greater than 1. Let's try to find the factors of the numerator:

n² + 4 = (n + 2i)(n - 2i)

where i is the imaginary unit. Therefore, the fraction [(n² + 4)] / [(n + 5)] is not in simplest form if and only if n + 5 is divisible by one of the factors (n + 2i) or (n - 2i), for some integer i ≠ 0.

Since n + 2i and n - 2i differ by 4i, they are either both odd or both even. Therefore, for n + 5 to be divisible by either of them, n must have the same parity (evenness or oddness) as i. If n is even, then n + 2i and n - 2i are also even, and their greatest common divisor is even. If n is odd, then n + 2i and n - 2i are also odd, and their greatest common divisor is odd.

Therefore, for each even n between 1 and 2023 inclusive, there are no factors (n + 2i) or (n - 2i) that divide n + 5, since they would have to be even and n + 5 is odd. For each odd n between 1 and 2023 inclusive, there are two factors (n + 2i) and (n - 2i) that divide n + 5, namely i and -i. Therefore, the improper fraction [(n² + 4)] / [(n + 5)] is not in simplest form for exactly 2 times the number of odd integers between 1 and 2023 inclusive.

There are (2023 - 1) / 2 + 1 = 1012 odd integers between 1 and 2023 inclusive, so the answer is 2 * 1012 = 2024. Therefore, the improper fraction [(n² + 4)] / [(n + 5)] is not in simplest form for 2024 integers between 1 and 2023 inclusive.

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Answer:

2(4)-3+5

Step-by-step explanation:

8-3+5

13-3

10

Answer:

i would say a

Step-by-step explanation:

The scale factors of the maps are 1 cm per m and 1 in per 0.75 ft, respectively

Scale factor of map 1

The scale is given as

A scale of 2 cm = 2m

Write out the scale

So, we have

2 cm = 2/2 m

Divide both sides of the scale by 2

So, we have the following equation

2/2 cm = 2/2 m

Evaluate the quotient

So, we have the following equation

1 cm = 1 m

The above means that the scale is 1 cm scale measurement represents 1 m actual measurement

Scale factor of map 2

The scale is given as

A scale of 4 in = 3 ft

Write out the scale

So, we have

4 in = 3 ft

Divide both sides of the scale by 4

So, we have the following equation

4/4 in = 3/4 ft

Evaluate the quotient

So, we have the following equation

1 in = 0.75 ft

The above means that the scale is 1 inch scale measurement represents 0.75 m actual measurement

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6x+54=168

6x= 168-54

6x= 114

6x÷6= 114÷6

x= 19

Aldo sold 19 tshirts

Options F and G don't provide sufficient information to prove that WXYZ is a parallelogram. Option F only tells us that one pair of opposite angles is equal, while option G only tells us that one pair of opposite sides is equal.

To prove that WXYZ is a parallelogram, we need to show that both pairs of opposite sides are parallel.

Out of the given information, only option J, WX = YZ, can help us prove that WXYZ is a parallelogram.

If WX = YZ, then we can use the property that opposite sides of a parallelogram are equal in length to conclude that WZ = XY.

Now, since ZW = ZY (given), we have:

WZ + ZW = XY + YZ

But we know that WZ = XY (from the above deduction), so we can substitute:

XY + ZW = XY + YZ

Canceling out XY on both sides, we get:

ZW = YZ

Which means that the opposite sides are equal, and hence parallel. Therefore, we can conclude that WXYZ is a parallelogram.

Note that options F and G don't provide sufficient information to prove that WXYZ is a parallelogram. Option F only tells us that one pair of opposite angles is equal, while option G only tells us that one pair of opposite sides is equal. But a quadrilateral can have both of these properties without being a parallelogram.

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Answer:

Step-by-step explanation:

The slope is determined with two points.

Take the pairs (0, - 9) and (1, - 5).

The slope is:

Answer:

Slope = 4

Step-by-step explanation:

Formula we use,

→ Slope = (y2 - y1)/(x2 - x1)

Then required slope will be,

→ (y2 - y1)/(x2 - x1)

→ (-5 -(-9))/(1 - 0)

→ (-5 + 9)/(1 - 0)

→ 4/1 = 4

Therefore, the slope is 4.

Answer:

37 - 5 = 32

32/4 = 8

8 students are in each of the 4 rows

Answer: there are 8 students in each of the 4 equal rows

Step-by-step explanation:

x = # of students in each of the 4 rows

4x + 5 = 37

4x = 32

x = 8

There are 8 students in each of the 4 rows.

You can check this:

4 rows of 8 students —> 4(8) = 32 students

+ 5 students in the first row

= 37 students total

Answer: I think it’s 3

Step-by-step explanation: I took a look at 13 and 12 subtracted 6-3=3

so I believe this is the answer sorry if I’m wrong

Answer:

3?

Step-by-step explanation:

A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.

This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.

In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.

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☽------------❀-------------☾

Hi there!

~

Let's solve for c.

\(\left(5x\ +\ 4\right)\left(2x\ +\ c\right)\ =\ 10x^{2\ }+\ nx\ -\ 12\)

Step 1: Add \(-10x^2\) to both sides.

\(5cx + 10x^2 + 4c + 8x + -10x^2 = nx + 10^2 - 12 + -10x^2\)

\(5cx + 4c + 8x = nx - 12\)

Step 2: Add \(-8x\) to both sides.

\(5cx + 4c + 8x + -8x = nx - 12 + -8x\)

\(5cx + 4c = nx - 8x - 12\)

Step 3: Factor out variable c.

\(c(5x + 4) = nx - 8x - 12\)

Step 4: Divide both sides by \(5x+4\).

\(\frac{c(5x +4)}{5x + 4} = \frac{nx-8x-12}{5x + 4}\)

Answer : \(\boxed{\frac{nx-8x-12}{5x + 4} }\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

c = 3 and n = - 7

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(5x + 4)(2x - c) ← expand using FOIL

= 10x² - 5cx + 8x - 4c ← factor out x from each of the terms in x

= 10x² + x( - 5c + 8) - 4c

Given this is equal to 10x² + nx - 12, then

Comparing the constant terms

- 4c = - 12 ( divide both sides by - 4 )

c = 3

Comparing the coefficients of the x- terms

n = - 5c + 8 = - 5(3) + 8 = - 15 + 8 = - 7

Thus

c = 3 and n = - 7

Answer:

The answer is 648 miles.

Step-by-step explanation:

936miles= 13 hours

? = 9 hours

936/ 13 = 72

72miles in 1 hour

72 x 9 = 648

648 miles in 9 hours

Answer:

x>9/5

Step-by-step explanation:

I hope this helps you

Answer:   3 mol of O₂

Solution:

The Balance chemical equation is as follow,

                               2 KClO₃    →    2 KCl  +  3 O₂

According to this equation on decomposition 2 moles of Potassium chlorate (KClO₃) produces 2 moles of Poatassium chloride (KCl) and 3 moles of oxygen gas (O₂).

Therefore, when,

                    2 moles of KClO₃ produces  =  3 moles of O₂

So,

                 2 moles of KClO₃ will produce  =  X moles of O₂

Solving for X,

                    X =  (2 mol × 3 mol) ÷ 2 mol

                   X  =  3 mol of O₂

Using above method you can calculate any amount of O₂ or KCl produced by decomposing any amount of KClO₃.

Answer:

3 mol of O₂

Step-by-step explanation:

i got a hundred on Edge

Answer:

(x-8)/4=y

Step-by-step explanation:

f(x)= 4x+8

y=4x+8

y-8=4x

(y-8)/4=x

(x-8)/4=y

The perimeter of triangle ABC is approximately 24.53 units.

To find the perimeter of triangle ABC, we need to know the lengths of all three sides. We can use the given information about the angles and side lengths to solve for the missing side lengths using trigonometry.

Let's start with the side opposite the 29-degree angle, which we'll call side AB. We can use the sine function to find the length of AB:

sin(29) = opposite/hypotenuse

opposite = sin(29) x 10

opposite ≈ 4.83

So, side AB has a length of approximately 4.83 units.

Next, let's move on to the side opposite the 61-degree angle, which we'll call side AC. We can use the same process:

sin(61) = opposite/hypotenuse

opposite = sin(61) x 10

opposite ≈ 8.66

So, side AC has a length of approximately 8.66 units.

Finally, we know that one of the angles in the triangle is 90 degrees, so the third angle must be:

180 - 90 - 29 = 61 degrees

This means that side BC is the hypotenuse of a right triangle with one leg of length 4.83 and the other leg of length 8.66. We can use the Pythagorean theorem to find the length of BC:

BC² = AB² + AC²

BC² = 4.83² + 8.66²

BC² ≈ 94.08

BC ≈ 9.7

So, side BC has a length of approximately 9.7 units.

Now that we have the lengths of all three sides, we can find the perimeter of triangle ABC:

Perimeter = AB + BC + AC

Perimeter = 4.83 + 9.7 + 10

Perimeter ≈ 24.53

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The answer to the given question is <0.01.

What is confidence level?

The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.

What is p-value?

P-value is the probability of getting the results you did, given that the null hypothesis is true.

When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).

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Answer: $1.75

Step-by-step explanation:

Assume hamburgers are x and French fries are y.

Use a simultaneous equation to solve;

2x + y = 4.75

3x + 3y = 9.00

Using substitution;

2x + y = 4.75

y = 4.75 - 2x

Solving it;

3x + 3y = 9

3x + 3 * (4.75 - 2x) = 9

3x + 14.25 - 6x = 9

-3x = 9 - 14.25

-3x = -5.25

x= -5.25/-3

x = 1.75

y = 4.75 - 2x

= 4.75 - 2 * 1.75

= 1.25

Hamburgers are x so they cost $1.75 each.

Answer:

Your answer will be 1/8

The coupon give Shanice 75 percent off the original price of the pair of jeans.

At a clothing store, a pair of jeans costs $40. Using a coupon, Shanice is

able to pay $10 less than the original price. Therefore, the percentage off  the original price the coupon represents can be calculated as follows:

Therefore,

Price Shanice bought the jeans = 40 - 10 = 30 dollars

Hence,

let

x = percentage off the original price

Therefore,

x / 100 × 40 = 30

40x / 100 = 30

cross multiply

3000 = 40x

divide both sides by 40

x = 3000 / 40

x = 75%

Therefore,  the coupon gives Shanice 75% off of the original price.

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Answer:

2

Step-by-step explanation:

1+1

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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