Select the correct answer from each drop-down menu.
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is ___
The value of xin the equation is ___

if we will divide 137 with 100 and then multiply it with 680 you will gett your answer

the answer is 931.6

Answer:

931.6

Step-by-step explanation:

We need to change the percent to decimal form.

137%  = 1.37

Multiply this by 680.

1.37 * 680

931.6

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

y= 21

Step-by-step explanation:

Divide each side by 3

y=63/3

Simplify 63/3

21

Answer:

Given : The linear function f(x) = 0.2x + 79 represents the average test score in math class, where x is the number of the test taken.

The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.

X

g(x)

1 1

86

2 3

84

82

To Find : test average for math class after completing test 2

test average for science class after completing test 2

Which class had a higher average after

completing test

Solution:

f(x) = 0.2x + 79

=> f/2) = 0.212) + 79 = 79.4f(x) = 0.2x + 79

=> f(4) = 0.2(4) + 79 = 79.8

test average for math class after completing test 4 = 79.8 =

1 1 2 3 4 g(x) 86 84 82 80

Х

g(2) = 84

test average for science class after completing test 2 = 84

g(4) = 80

test average for science class after completing test 4 = 80

80 > 79.8science class has more average than

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math after 4 test

The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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The value of x is 4 and 0

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.

Given that : \((x-2)^{2} = 2\)

\((x-2)^{2} = 2\)

(x-2)=±2

x= 4

x=0

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Answer:

11

Step-by-step explanation:

15 - 4 = 11

Answer: 11

Step-by-step explanation:

It's easy because 15-4 is 11 so your Y is equal to 11

Answer:

x = 29

Step-by-step explanation:

\(c^{2} = a^{2} + b^{2}\)

\(c^{2} = 20^{2} + 21^{2}\)

\(c^{2} = 400 + 441\)

\(c^{2} = 841\)

\(\sqrt{c^2} = \sqrt{841}\)

\(c = 29\)

As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.

"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC²​​. Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse."

Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.

Here, x = the hypotenuse of the right angle triangle.

Therefore, using the Pythagorean theorem, we get:

x² = 20² + 21²

⇒ x² = 400 + 441

⇒ x² = 841

⇒ x = √(841)

⇒ x = 29 (ignoring the negative value of the square root)

Therefore, the value of 'x' is 29.

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Answer:

8a(3a + 1)

Step-by-step explanation:

24a² + 8a

8a(3a + 1)

I hope this helps!

Answer:

A positive number or a number that is greater than zero

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

\(f(x)=3x-1\\g(x)=2x-3\)

substitute x = 2 into f(x):

\(f(2)=(3 \times2)-1=5\)

equate g(x) with found value for f(2) and solve for x:

\(g(x)=f(2)\\2x-3=5\\2x=8\\x=4\)

Answer:

-3/2

Step-by-step explanation:

\(2(\frac{-1}{4}) (3) = 6(\frac{-1}{4}) = \frac{-6}{4} = -\frac{3}{2}\)

The expression sin²x/(1+cosx) can be simplified to 1-cosθ

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Recall that sin²x = 1 - cos²x. Thus, we have:

sin²x/(1+cosx) = (1-cos²x) / (1+cosx)

                      = (1²-cos²x) / (1+cosx)

                      = (1+cosx)(1-cosx) / (1+cosx)

                      = 1-cosx

                      = 1-cosθ        (If x = θ)

Note: Using difference of two squares, 1²-cos²x = (1+cosx)(1-cosx)

Therefore, the expression sin²x/(1+cosx) can be simplified to 1-cosθ

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Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Answer:

The answer is "Parameter: 8 ounces and  Statistics: 7.6 ounces"

Step-by-step

Amount of restaurant hamburger packers = 200

Mean weight of its patties = 8 ounces

Specification Patty Deviation=0.54 ounces

Those who went to the supermarket and bought five hamburgers picked randomly.

The important weight of hamburgers  = 7.6 ounces 

For this case, we need to classify the sample population and test statistics.

The group comprises all elements that may probably be predefined, while a small number of findings from this wider group are taken from either the sample. The restaurants achieved a list of 200 hamburgers. Consequently, the population is made up of 200 patties. From 200 hamburgers accessible, I visit the shop or pick 5 hamburgers. So, five hamburgers arbitrarily selected are samples.

parameters:

The parameter is known for just about any value or metric representing or reflecting the entire nation. They know from the information that the average weight of 200 burger patties is eight pounds. Because as mean(center) of a whole population is 8 ounces, this is a parameter.

Statistics:

The statistic is any quality or measure defining or representing its specimen. We purchased 5 randomly selected hamburgers, which meant 7.6 ounces for mean weight. 7.6 is a statistic, thus.

Answer:

2462.4 square inches

Step-by-step explanation:

we know the shorted side of the wall is 36 inches so we divide 2.5 to 36 to see how much bigger the actual wall is to the scale

36/2.5= 14.4

The actual wall is 14.4 times bigger than the scale

14.4 x 4.75= 68.4

68.4 x 36= 2462.4 inches

Answer:

146%

Step-by-step explanation:

\( percent~change = \dfrac{new~price - old~price}{old~price} \times 100% \)

If the percent change is positive, it is a percent increase.

If the percent change is negative, it is a percent decrease.

Your numbers are

old price = $0.92

new price = $2.26

Plug in the numbers in the formula above and evaluate the expression.

percent change = ($2.26 - $0.92)/($0.92) * 100%

percent change = ($1.34)/($0.92) * 100%

percent change = 1.4565 * 100%

percent change = 146%

Since the percent change is a positive number, it is a percent increase.

Answer: The percent increase is 146%.

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Answer:

5.2 hours

Step-by-step explanation:

divide the total distance by how fast

td/speed

3250/625=5.2hrs

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

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Answer:

99

Step-by-step explanation:

33x3=99

Answer:

44

Step-by-step explanation:

4-1=3 (4 times minus what was original which is 1u)

3u=33

1u=33÷3=11

4u=11x4=44

Hope this helps! Thanks.

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

100%

Answer:

11/4

Step-by-step explanation:

11/4

4/4+4/4+3/4=11/4

Answer:

2×4=8

8+3=11

11/4

Step-by-step explanation:

Hope this helps

Answer:

The answer is B and D.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!