F G Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. I H AFHS AGHI by SAS. AFIH S AHGI by SAS. AFIH = AGHI by SSS AFIH AGHI by HL.

The expression's variables can be represented by a different symbol than the conventional x and y.

How to Convert Algebraic Expressions to Verbal Expressions.

Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.

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Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

Add 2\sqrt[3] to both sides as shown;

Take the cos inverse of both sides

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

Answer:

where???????????????

After evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

So, evaluate "(0.5)∧(0.5)∧4 + (0.5)²" using laws of exponents:

Then,

By law: Power of power rule

Therefore, after evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

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The correct question is given below:
Apply the laws of exponents to evaluate the expression.

(0.5)∧(0.5)∧4 + (0.5)²

Answer:15216.31 Fluid Ounces

Step-by-step explanation:

A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.

Given that,

A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.

We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.

By multiplying the number of possibilities each store has, we may determine the total number of ways.

It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.

The quantity of ways is thus:

= 16 × 15 × 14 × 13 × 12 × 11 × 10

= 57657600

Therefore, there are 57657600 many possible ways to the sites for the new stores.

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Considering the equation of a circle, it is found that:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given as follows:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In the context of this problem, we have that:

Hence the equation of the circle is given by:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex]

Brian's dart lands at the following position:

(11.5, 5)

All the points that land on the dartboard respect the following equation:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 \leq 81[/tex]

For the coordinate where the dart landed, we have that:

(11.5 - 12)² + (5 - 17/3)² = 0.7 < 81, meaning that Brian's dart lands on the dartboard.

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Answer:

$50.16

Step-by-step explanation:

id.k if it's actually right but i believe the tip would be $8.36 if it's 20% so adding it together is $50.16

Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

The slope of the line secant to the curve g(x) = - x² + 8 is equal to m = - (2 + h).

A secant line is a line that passes through a curve in two places, the formula for the slope of the secant line is described below:

m = [f(a + h) - f(a)] / [(a + h) - a]

m = [f(a + h) - f(a)] / h

If we know that f(x) = - x² + 8 and a = 1, then the equation for the slope of the secant line is:

m = {[- (1 + h)² + 8] - (-1² + 8)} / h

m = (- 1² - 2 · h - h² + 8 + 1² - 8) / h

m = (- 2 · h - h²) / h

m = - 2 - h

m = - (2 + h)

The slope of the line is equal to m = - (2 + h).

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Part (a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).

we have the ordered pairs

(1999, 2,196) -------> (0,2,196)

(2019,7,186) -------> (20,7,196)

Find out the slope

where

t -----> is the number of years since 1999

P ----> the cost

m=(7,196-2,196)/(20-0)

m=5,000/20

m=250

Find the equation of the linear model in slope-intercept form

P=mt+b

we have

m=250

point (0,2,196)

substitute and solve for b

2,196=250(0)+b

b=2,196

therefore

P=250t+2,196

Part b

Using this linear model, predict the cost of insurance in 2030

For t=2030=2030-1999=31 years

substitute

P=250(31)+2,196

P=$9,946

Part c

According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute in the linear model

12,000=250t+2,196

250t=12,000-2,196

250t=9,804

t=39 years

therefore

1999+39=year 2038

Part d

Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of

P0 and d to the nearest dollar

using a regression calculator

the equation is

ŷ = 239.15065X + 2406.39827

y=239x+2,406

Part e

Using the regression model, predict the cost of insurance in 2030

For t=2030-1999=31 years

P=239(31)+2,406

P=$9,815

Part f

According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute

12,000=239x+2,406

239x=12,000-2,406

239x=9,594

t=40 years

year=1999+40=2039

Answer:

0.00067

Step-by-step explanation:

You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

Answer:

x = no of people in a small car

y = number of people in a van

Explanation:

The relevant information in the problem is that the total number of people is 27 and that the small car costs $10 and the large van $15.

If we call x the number of people in a small car, and y the number in the large van then the following equations can be obtained

The first equation simply says that the total number of people is 27 and the second equation says that the total cost of the trip is $80.

Hence,

x = no of people in a small car

y = number of people in a van

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

Solving for x,

Therefore, we can conclude that 12 is 150% of 8

Based on the graphs and equations given, the simultaneous equations can be solved to give x = 1.5 and y = 5.5.

To solve the simultaneous equation, come up with the values of y using values of x in the given formulas:

For y = 3x + 1: the values of y will be:

When x = 1, then y will be:

= 3(1) + 1

= 4

When x = 2, then y will be:

= 3(2) + 1

= 7

When x = 3, then y will be:

= 3(3) + 1

= 9

For the equation, x + y = 7:

When x = 1, then y will be:

y = 7 - 1

= 6

When x = 2, then y will be:

= 7 - 2

= 5

When x = 3, then y will be:

= 7 - 3

= 4

When these are plotted on a graph, we find that the value of x is 1.5 and the value of y is 5.5. This is the point where the lines intersect.

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The equation of the circle passing through points (-2, 6) , (2, 8) , and (5, -1) is given as follows:

(x - 2)² + (y - 3)² = 25.

The equation of a circle with center (x*, y*) and radius r is given according to the following rule:

(x - x*)² + (y - y*)² = r².

The circle passes through point (-2,6), hence the first equation of the system is given as follows:

(-2 - x*) + (6 - y*)² = r².

r² = x*² + 4x* + 4 + y*² - 12y* + 36.

The circle also passes through point (2,8), hence the second equation of the system is given as follows:

(2 - x*) + (8 - y*)² = r².

r² = x*² - 4x* + 4 + y*² - 16y* + 64.

The final point is point (5,-1), meaning that the third equation is:

(5 - x*) + (-1 - y*)² = r².

r² = x*² - 10x* + 25 + y*² + 2y* + 1.

The system of equations to find the coordinates of the center and the radius is given as follows:

The solution to the system is given as follows:

x* = 2, y* = 3, r² = 25.

Hence the equation of the circle is:

(x - 2)² + (y - 3)² = 25.

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The required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

Given that,
To arrange the like terms in columns and add them. - a) 2x³ - 7x⁴ + 7x⁵ and 11x³ - 4x⁴ – x b) -2p - 3p² and 1 - 5p + 8p²​.

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
(a)
= 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x
= 7x⁵ - 7x⁴  - 4x⁴+ 2x³ + 11x³– x
=  7x⁵ + 13³ - 11x⁴ - x,

(b)
=  -2p - 3p² +  1 - 5p + 8p²
= 1  -2p - 5p -3p² + 8p²
=  1 - 5p + 8p²​

Thus, the required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

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The required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The polynomials are given in the question :

2x³ - 7x⁴ + 7x⁵, and 11x³ - 4x⁴ – x

-2p - 3p² and,1 - 5p + 8p²​

According to the question,

⇒ 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x

Rearrange the terms and apply the arithmetic operation,

⇒ 2x³ + 11x³- 7x⁴- 4x⁴ + 7x⁵  – x

⇒ 13x³- 11x⁴+ 7x⁵  – x

⇒ -2p - 3p² + 1 - 5p + 8p²​

Rearrange the terms and apply the arithmetic operation,

⇒ -2p - 5p - 3p²  + 8p²​+ 1

⇒ - 7p + 5p²​+ 1

Thus, the required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

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The cosine ratio is given by the following formula:

The adjacent leg of angle Z is side ZY=12 and the hypotenuse of the triangle is the side XZ=20, thus the cosine ratio of Z is:

Answer:

The answer is to the question A

Answer:

Its B 100%

i took the test and got it right

k bye :):):):):):):)

Step-by-step explanation:

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)

2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)

3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)

4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)

5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)

6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)

7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)

8) [tex]m\angle CDE=m\angle A[/tex] (division)

9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)

10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)

The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

∴ The slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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The solution to the equation given as 4(3m + 1) − 2m = −16 is m = -2

The equation is given as

4(3m + 1) − 2m = −16

Open the brackets in the above equation

So, we have

12m + 4 − 2m = −16

Collect the like terms in the above equation

So, we have the following equation

12m − 2m = −16 -4

Evaluate the like terms in the above equation

So, we have the following equation

10m = −20

Divide both sides by 10

m = -2

Hence, the soluton is m = -2

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Given the set of numbers:

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a

From the given values, we can see that the lowest values is -32 and the highest value ie -4. Since the range is the difference betwwwn the highest and the lowest value, the range is

On the other hand, the sample variance formula is

where x^bar is the mean and n is the total number of sample elements. In our case, n=7 and the mean is

Then, the sample variance is given by

Since the standard deviation is the square root of the sample variance, we have

By rounding the solutions to the nearest tenth, the answers are:

Answer:

-11/6

Step-by-step explanation:

you can use rise over run to find your answer

Mean of given set is 7.8

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." It is a statistical idea with significant financial implications.

Given,

Mean:

Formula:

Sum = 118.25

Total = 15

[tex]\frac{sum}{total}[/tex]

[tex]\frac{6.75 + 6.5 + 7 +8 +7+8.75+7.25+5.75+9.25+7.75+7+7.5+8+7.5+8+6.25}{15}[/tex]

= [tex]\frac{118.25}{15}[/tex]

= 7.8

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The best way to divide the land having canal and road parallel, is divide land with the line perpendicular to the road and canal.

What is parallel and perpendicular?

In simple geometry, two geometric objects cross at a right angle (90 degrees or /2 radians) if they are perpendicular to one another. The perpendicular symbol,⟂, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, between two lines (or line segments), and between two lines.

In geometry, parallel lines are coplanar, straight lines that never intersect. Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect.

We need to give equal access of canal to each section of land so, the best way to divide land is divide land perpendicularly to canal and the road.

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Answer: 6, -4

Step-by-step explanation:

[tex]\frac{2}{5}|x-1| \geq 2\\\\|x-1| \geq 5\\\\x-1 \leq -5, x-1 \geq 5\\\\x \leq -4, x \geq 6[/tex]