what is a example for a proportion

Answer:

Answer is $2,637.38

Step-by-step explanation:

We can prove that the given triangles GHL and KHJ are congruent using the ASA theorem. So, the second option is the correct answer.

We can say any two shapes are congruent if they have the same shape and size. For this, their sides and angles need to be mirror images of each other. We have four congruency theorems at hand here. These are side-side-side(SSS), angle-side-angle(ASA), side-angle-side(SAS), and angle-angle-side(AAS).

According to the ASA congruency theorem, one side and two angles of the triangles in question need to be similar. In the given image, we can see that two of the angles i.e., HGL and HKJ are congruent while GHL and KHJ are congruent. The sides GH and KH are also congruent. This makes the two triangles  △GHL ≅ △KHJ by the ASA theorem. So, the second option is the correct answer.

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Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

Answer:

The answer is A

Step-by-step explanation:

An appositive is usually used to describe a topic, and usually is near the beginning of a sentence or before or after a noun followed by a comma.

In this case “, a very delightful insect, “ comes after ladybug.

I tried my best to answer this question, thank you have a great day

Answer:

Y/6 = x

Step-by-step explanation:

Y = 6x

Y/6 = x

The value of the right Riemann sum approximation for integral ∫2 to 0 f(x) dx is (c) 60.

The right Riemann sum approximation is obtained by dividing the interval [0, 2] into four subintervals of equal length and evaluating the function at the right endpoints of each subinterval. In this case, each subinterval has a length of (2-0)/4 = 0.5. The right endpoints of the subintervals are 0.5, 1.0, 1.5, and 2.0.

To calculate the right Riemann sum, we evaluate the function \(f(x) = 9^x\) at these right endpoints and sum up the values multiplied by the subinterval length.

\(f(0.5) = 9^0.5 = 3,\\f(1.0) = 9^1 = 9,\\f(1.5) = 9^1.5 = 27,\\\\f(2.0) = 9^2 = 81.\)

The right Riemann sum is then (0.5 * f(0.5)) + (0.5 * f(1.0)) + (0.5 * f(1.5)) + (0.5 * f(2.0)) = 0.5 * (3 + 9 + 27 + 81) = 60.

Therefore, the value of the right Riemann sum approximation for ∫2 to 0 f(x) dx is 60, which corresponds to option (c).

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The measure of the arc angle x which subtends the angle at the center is equal to 126°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

So;

arc angle x = 2 × angle 63°

arc angle x = 2 × 63°

arc angle = 126°

Therefore, the measure of the arc angle x which subtends the angle at the center is equal to 126°

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The GCF: x

answer: x(x+2)

Answer:

the answer would be 17.

Step-by-step explanation:

to get my answer I used PEMDAS and distribution.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

3(4) + 5

Step-by-step explanation:

Use the BEDMAS method (Brackets, exponents, division, multiplication, addition, subtraction.)

Answer:

a) x = 70

b) a = 50

Step-by-step explanation:

a)  Angles on a straight line add up to 180°

⇒ 52 + x + 58 = 180

⇒ x = 180 - 52 - 58

⇒ x = 70

b) Angles around a point add up to 360°

⇒ 120 + 90 + a + a + a = 360

⇒ 210 + 3a = 360

⇒ 3a = 360 - 210

⇒ 3a = 150

⇒ a = 150 ÷ 3

⇒ a = 50

Answer:

a) x = 70°

b) a = 50°

Step-by-step explanation:

Part (a)

52° + x° + 58 = 180° (Angles on a straight line add up to 180 degrees.)

x + 110 = 180

Subtract 110 to both sides

x = 180 - 110

x = 70°

Part (b)

a° + a° + a° + 90° + 120° = 360° (Angles at a point add up to 360 degrees)

3a + 210 = 360

Subtract 210 to both sides

3a = 360 - 210

3a = 150

Divide both sides by 3

a = 150 / 3

a = 50°

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

Hope this helped!

Answer:

Step-by-step explanation:

that's it?

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5

Determinethe required linear equations

y = 5/4 x + 11.5

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Answer:

x = ±6i sqrt(2)

Step-by-step explanation:

6x^2 + 432 = 0

Subtract 432 from each side

6x^2 =- 432

Divide by 6

6x^2 /6 =- 432/6

x^2 =-72

Take the square root of each side

sqrt(x^2) = ±sqrt( -72)

x = ±sqrt(-1) sqrt(2*36)

We know the square root of -1 = i

x = ±i sqrt(2*36)

x = ±i sqrt(36) sqrt(2)

x = ±6i sqrt(2)

The quotient is 1111. The process continues until the result is less than the divisor.

To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:

Step 1: Initialize the dividend and divisor

Divisor: 00011

Dividend: 1011

Step 2: Append zeros to the dividend

Divisor: 00011

Dividend: 101100

Step 3: Determine the initial guess for the quotient

Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.

Step 4: Subtract the divisor from the dividend

101100 - 00011 = 101001

Step 5: Determine the next quotient bit

Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

Step 6: Subtract the divisor from the result

101001 - 00011 = 100110

Step 7: Repeat steps 5 and 6 until the result is less than the divisor

Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100110 - 00011 = 100011

Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100011 - 00011 = 100001

Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100001 - 00011 = 011111

Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.

011111 - 00000 = 011111

Step 8: Remove the extra zeros from the result

Result: 1111

Therefore, the quotient is 1111.

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The score that Alaina will have to get to tie the Winning teams score is 4.4.

Given that the long jump teamates add up their scores to determine the best team. The current winning team has a combined score of 25.6 m.

Also, Alaina's teamates jumped the following jumps: 5.46m,4.84, 4.92 and 5.98m.

Therefore, Alaina's score to beat the other team will be:

= 25.6 - (5.46m + 4.84 + 4.92 + 5.98m)

= 25.6 - 21.2

= 4.4

Therefore, she must get 4.4 to tie.

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Answer:

16.  25/45 ; 18/45

17  4/7; 4/7

Step-by-step explanation:

5/9 and 2/5

The common denominator is 45

5/9 * 5/5 = 25/45

2/5 *9/9 = 18/45

4/7  and 12/21

Simplify 12/21 by dividing by 3 in the numerator and denominator

12/21 = 4/7

4/7; 4/7

The common denominator is 7

16:25/45;18/45

17: 4/7;4/7

Answer:

16:5/9;2/5

Common denominator is 9*5=45

now

make a equal denominator

5/9=5/9*5/5=25/45

2/5=2/5*9/9=18/45

and

17: 4/7;12/21

common denominator =7

4/7

12/21=4/7

Answer:

The missing coordinate, D = (7, 1)

Answer:

2x+6 +x-4 +4+4

Step-by-step explanation:

Hi There!!

Here's the answer below.

Step-by-step explanation:

Well, The Part A

The area is...

\((x +4)\) \((2x+6+ x-4)\)

\(=\) \((x+4) (3x+2)\)

\(=\) \(3x^{2} + 14x + 8\)

Now, We finish Part A.

We got to do Part B.

The length is \(x-4\) and it's \(12\)

\(x-4 = 12\)

\(x = 12 +4\)

\(x = 16\)

Now, We got to the area.

\(3(16)^{2} + 14(12) + 8\)

\(= 3(256) + 168 + 8\)

\(= 768 + 176\)

\(= 994\)

So, Your best answer choice is \(994\)

#\(Be\) \(Bold\)

\(_{Loserbrazts}\)

Answer:

Step-by-step explanation:

assuming its a right triangle 30 deg with sides being 9 3 10 and angles being 30 60 90

A sample statistic is a statistical finding based on small sample size.

A sample is only a small portion of the population. Let's imagine you were interested in determining the average income for all Americans in your population. Instead of knocking on every door in America because of time and money constraints, you decide to question 1,000 random people. Your sample consists of these a thousand persons.

Once you have your sample, you will obtain a statistic of some sort. Actually, a statistic is just a piece of data; in this case, it's the average salary. A sample statistic is one that is drawn from a portion of data or a population and contains statistical information (such as an average, median, or other types of statistics).

Your sample statistic might change greatly based on the things you select from the population because you are only working with a small portion of the total population. In actuality, there is some uncertainty in the majority of sample statistics.

It's extremely unlikely that the knowledge you gather from a few items will paint a complete picture or provide you with a precise explanation of what is happening in the population as a whole. While margins of error, confidence intervals, and many other statistical tools can help us quantify uncertainty, statistics is really just scientific guesswork.

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Answer:

6

Step-by-step explanation:

"Index" is another name for exponent.

Answer:c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: 8690

Step-by-step explanation:

Divide $43450 by the number of months there are in a year (which is 12) and you get the answer

Answer:

B. The square root of 34 is an irrational number.

Step-by-step explanation:

The square root of 34 is a rational number if 34 is a perfect square.

Since 34 is not a perfect square, it is an irrational number.

Since the square root of 34 is not a perfect square, hence, the square root of 34 is an irrational number: Option B is correct.

Irrational numbers are numbers that cannot be written as a ratio of two integers.

Since the square root of 34 is not a perfect square, hence, the square root of 34 is an irrational number.

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Answer:

26.

Step-by-step explanation:

1 day/24 hours, makes 4 revolutions.

4 x 6 = 24,

1/2 of 4 = 2.

24+2 = 26.

26 revolutions, if my answer is wrong someone please correct me.

Root x = 2 is an extraneous solution for radical equation √(4 · x - 7) - √(2 · x) = 1, whose roots are 2 and 8, respectively.

In this problem we find the definition of a radical equation, whose roots must be found by combining algebra properties and power properties. A root is an extraneous solution if the result lead to an absurdity. (i.e. 1 = 0).

First, write the complete expression:

√(4 · x - 7) - √(2 · x) = 1

Second, apply algebraic substitution formula u = 2 · x to simplify the model:

√(2 · u - 7) - √u = 1

Third, use algebra properties to clear square roots:

√(2 · u - 7) = 1 + √u

Fourth, square both sides of the expression:

2 · u - 7 = (1 + √u)²

2 · u - 7 = 1 + 2 · √u + u

u - 7 = 1 + 2 · √u

u - 2 · √u - 8 = 0

Fifth, use algebraic substitution k = √u and solve the quadratic-like equation by factorization:

k² - 2 · k - 8 = 0

(k - 4) · (k + 2) = 0

k₁ = 4 or k₂ = - 2

Sixth, find the values of x by reversing algebraic substitutions:

√u₁ = 4 or √u₂ = - 2

u₁ = 4² or u₂ = (- 2)²

2 · x₁ = 4² or 2 · x₂ = (- 2)²

x₁ = 8 or x₂ = 2

Seventh, look for any extraneous solution:

x₁ = 8

√(4 · 8 - 7) - √(2 · 8) = 1

√25 - √16 = 1

5 - 4 = 1

1 = 1

x₂ = 2

√(4 · 2 - 7) - √(2 · 2) = 1

√1 - √4 = 1

1 - 2 = 1

- 1 = 1 (CRASH!)

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Answer: 400 calories per hour

Step-by-step explanation:

Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).

Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)

This is given as: 1200 calories / 3 hours = 400 calories per hour.

Answer:

Step-by-step explanation:

9^2 + 15^2 = x^2

   81 + 225 = x

          17.49 = x

Rounded to the nearest tenth:

                 x = 17.5