Mathematics College

HGiven: DF || EH, DH || EG, and DF EHProve: H is the midpoint of FGStatementsDF || EH, DH || EG1)ZDFH ZEHG and ZDHF LEGHADFH AEHGFH HGH is the midpoint of FGReasonsGivenGiven2)4)5)Which statement belongs in space number 3?HLThe triangles are not congruent.ASAOAAS

Answers

Answer 1

We are given that the segments:

$DF\cong EH$

And also:

$\begin{gathered} \angle\text{DFH}\cong\angle EHG \\ \angle DHF\cong\angle EGH \end{gathered}$

This means that we can use the Angle Angle Side (AAS) theorem to prove congruency between the triangles DFH and EHG.

Related Questions

Tanna scored 130 points on her first game of bowling. On her second game of bowling she scored 156 points. Calculate her percent change in points scored.

Answers

Answer:

the answer is a 20% increase

Step-by-step explanation:

first, you have to find the amount of change (how much her points scored increased

second , you would divide $\frac{26}{130}$ which equals 0.2

then you would multiply by 100 or move the decimal two places to the right

which would equal 20%

Find the equation of the line shown.

Answers

The answer is y=-x+9

Answer:

y = -x + 9

Step by step explanation:

In order to write the equation of the line, we can write it in slope intercept form $y=mx+b$ where m is the slope and b is y intercept. Judging by the graph, we can see that the line is passing through (0,9) which makes that our y intercept.

To find the slope, we can count the slope using $\frac{rise}{run}$ or using the slope formula. For the sake of simplicity, we will count the slope, Counting the slope, we get $\frac{-1}{1}$ or simply $-1$. Now we just have to plug our numbers into the formula.

$y=-x+9$

40÷[20-4 x (7-4)] what is the value of the expression

Answers

Answer:

40 ÷ [ 20 - 4 × 3]

40 ÷ [ 20 - 12 ]

40 ÷ 8

Answer:

Step-by-step explanation:

$1. \: 40 \div (20 - 4 \times 3) \\ 2. \: 40 \div (20 - 12) \\ 3. \: 40 \div 8 \\ 4. \: = 5$

find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z= 1 and z= 1.9

Answers

The area, to the nearest thousandth, of the standard normal distribution between the z-scores z= 1 and z= 1.9 is 0.130

Find the distance between the pair of points.
N(-3,-11), P(-3,-2)
d=
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

The distance between the two points N(-3, -11) and P(-3, -2) is 9 units.

How to find the distance between the pair of points.

Given the points

N(-3,-11) and P(-3,-2)

To find the distance between two points, we can use the distance formula:

d = √((x2 - x1)²+ (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using this formula, we can find the distance between the two points N(-3, -11) and P(-3, -2) as follows:

d = √((-2 + 11)²+ (-3 + 3)²)

This gives

d = √9²+ 0²)

So, we have

d = √81

Evaluate

d = 9

Therefore, the distance between the two points N(-3, -11) and P(-3, -2) is 9 units.

Answers

Answer:

71.549

Step-by-step explanation:

Answer:

The sum of 50.249 + 21.3 is 71.549.

Step-by-step explanation:

50.249 + 21.3 can be written as (50 + 20) + (0 + 1) + (0.2 + 0.3) + 0.049, which makes calculating the sum easier. 50 + 20 = 70, 0 + 1 = 1, 0.2 + 0.3 = 0.5, and you still have a 0.049. Add the numbers all together and you'll get that the sum of 50.249 and 21.3 is 70 + 1 + 0.5 + 0.049 or 71.549.

in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .

Answers

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

Learn more about equations here-

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how do i solve 2/7v-1/7+14=20

Answers

Answer: 1: Combine multiplied terms into a single fraction

2: Multiply the numbers

3: Add the numbers

4: Solution

= 43/2

Step-by-step explanation:

Answer:

v = 43/2.

Step-by-step explanation:

2/7v - 1/7 + 14 = 20

2/7 v = 20 - 14 + 1/7

2/7 v = 6 1/7

2/7 v = 43/7

v = 43/7 / 2/7

v = 43/7 * 7/2

v = 43/2

Please gimme the variables to define the sytem and 2 system of equations

Answers

Answer:

$8.5x+4y=99.5,\ x+y=17$

Step-by-step explanation:

$\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}$

A train goes at 78kph for 20 minutes. How long does it travel?

Answers

Answer:

26km

Step-by-step explanation:

The train can travel 78km per hour or per 60 min

78 = 60

x = 20

Cross multiply:

(78)(20) = 60x

1560 = 60x

x = 26

Thus the train travels 26km in 20 min

Answer:

26 km

Step-by-step explanation:

A train goes at 78kph for 20 minutes. How long does it travel?

1 hour = 60 minutes20 minutes = 1/3 hour

78 * 1/3 =

26 km

Work out the volume of the prism height of 12 4 and five

Answers

The calculated volume of the prism is 702 cubic cm

Finding the volume of the prism

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Answers

Domains are different because e only has 4 possibilities
Slope of c is -4
Slope of e is 7

Whats the inequality
12< -2y

Answers

Answer:

y< -6

Step-by-step explanation:

thas the answer

This is simple just divide -2 on both sides.

BUT, NEVER forget that if you divide a negitive then you need to swap the sign to the oppisite side.

12/-2 < y -> -6 > y or y < -6

I need help ASAP thanks!

Answers

The decimal for the first one is 0.4, and the fraction is 2/5.

The second one is also 0.4 and 2/5.

Yes, this means that both of these models are equal to each other. This is because Model 1 is equal to 4/10, while Model 2 is equivalent to 40/100. 4/10 is the same thing as 40/100, though. It's just a little bit more simplified, but the fully simplified answer would be 2/5.

So, therefore, the final answer is that both of these models are equal.

Anyways, I hope that this has helped you.

Rosetta owns a wedding photography business. For each wedding, she charges $100 plus $50 per hour of work. A linear equation that expresses the total amount of money Rosetta earns per wedding is y= 50x+100. What are the independent and dependent variables? What is the y-intercept and the slope?

a. The independent variable (z) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
b. Rosetta charges a one-time fee of $100 (this is when 2-0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
c. The independent variable (x) is the amount in dollars, Rosetta earns for a wedding. The dependent variable (y) is the amount of time Rosetta shoots photos.
d. Rosetta charges a one-time fee of $100 (this is when : 0), so they intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
e. The independent variable(x) is the amount of time Rosetta shoots photos.

Answers

The options are not clear enough, so i have attached it.

Answer:

A: The independent variable (x) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.

Rosetta charges a one-time fee of $100 (this is when x = 0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50

Step-by-step explanation:

We are given the equation of total amount of money Rosetta earns per wedding as;

y = 50x + 100

Where x is number of hours.

Now, the independent variable will be x because it doesn't depend on any other variable whereas the dependent variable will be y because it depends on how many hours which is x.

Now, the y-intercept occurs when x = 0.

Thus;

y = 50(0) + 100

y = 100

Thus,she charges a one time fee of $100, so the y-intercept = $100 at x = 0.

From slope intercept equation which is;

y = mx + c and comparing with y = 50x + 100, where m is the slope, we can see that m = 50.

Thus, since she earns $50 per hour, the slope is 50.

The correct option is Option A.

Rosetta owns a wedding photography business. For each wedding, she charges $100 plus $50 per hour of

Word Problem
A Car Travels 561.6 km in 9 hours . How many kilometres does it travel in an hour

Step by step required with senteces

Answers

Answer:

62.4km/h

Step-by-step explanation:

561.6 : 9 = 62.4

Answer 62.4
Solution ‘ 561.6 : 9 = 62.4
;)

what are the domain and range of (-5,4)

Answers

Answer:

Domain: -5 Range:4

Step-by-step explanation:

First number is Domain, and the second number is the range. Like on a graph. -3,4 Domain is -3 and range is 4

Explain what operation should be used to solve the equation 3.5n = 10.5. What is the value of n

Answers

Answer:

n = 3

Step-by-step explanation:

Given equation

3.5n = 10.5

To solve this for n divide both sides by 3.5:

3.5n / 3.5 = 10.5 / 3.5n = 3

(3+x)/(10+x)>=0.80 Which below is the first step in solving the rational inequality?

Answers

Answer:

A: 3+x/10+x - 8/10>(or equal to) 0

Step-by-step explanation:

Just answered it

Answer:

Answers to the next parts of the question:

D. 10(10+x)

B. $\frac{x-25}{5(10+x)} \geq 0$

Step-by-step explanation:

Hope this helps whoever needs it

Pls help I need a good grade I’ll brainlest

Answers

Answer:

Step-by-step explanation:

the moon is about 1.2x 10^9 killometers from earth.what is the distance in standerd form

Answers

Answer:

1 200 000 000

Step-by-step explanation:

this is the answer

Given a square, you can cut the square into smaller squares by cutting along lines parallel to the sides of the original square (these lines do not need to travel the entire side length of the original square). For example, by cutting along the lines below, you will divide a square into 6 smaller squares
Prove, using strong induction, that it is possible to cut a square into n smaller squares for any n≥6

Answers

Since our assumption holds for all values between 6 and k, and we have shown it also holds for k+1, we can conclude by strong induction that it is possible to cut a square into n smaller squares for any n ≥ 6.

To prove this using strong induction, we will first establish a base case and then prove that if the statement holds true for any value k, then it also holds true for k+1.
Base Case: n = 6
Divide the square into four equal smaller squares by drawing two lines, one vertical and one horizontal, each passing through the center.

Then, divide one of these smaller squares into two equal rectangles by drawing a line parallel to the side.

We have now divided the original square into 6 smaller squares.
Inductive Step:
Assume the statement is true for all values n = 6, 7, ..., k,

where k ≥ 6.

We want to prove that the statement is true for n = k+1.
Consider a square that is divided into k smaller squares.

We will show that it is possible to divide this square into k+1 smaller squares.

Choose one of the k squares and label it S.

If S is a rectangle, divide it into two smaller squares by drawing a line parallel to the shorter side.

If S is a square, divide it into two equal rectangles by drawing a line through the center parallel to a side.
In either case, we have replaced one of the original k squares with two smaller squares, resulting in a total of k+1 squares.

For similar question on assumption.

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2. Half of the pieces of fruit in the bowl are apples. There are
also 3 oranges, 2 pears, and a banana.
How many apples are there in the bowl? Show your work!

Answers

Answer:

6 apples

Step-by-step explanation:

3+2+1 = 6 and 6 × 2 is 12 therefore half of the fruit is 6 so six apples (if that makes sense HAHA)

Mskskdkskekekdbsn nkfjrjrmrnrrr

1. Convert the following Mayan numbers to decimal (base 10).
b)
||:
:|| || ()

Answers

The given Mayan number which is: :|| :|| in decimal (base 10) is 42.

How to solve

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.

The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

Answers

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Evan and Brayden want to know if they have more X Box games than Reid and Bryce do
combined. Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of
boys has more? How much more do they have?

Answers

Answer:

Step-by-step explanation:

Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of boys has more? How much more do they have?

Reid and Rryce have more. If you add 43 and 42 you get 85 and when you add 76 and 23 you get 99. So now subtract 99 and 23 which is 76.

Simplify the term
(2w^-2)^3(8w^6)

Answers

Answer:

Step-by-step explanation:

pls help ............ explain

Answers

Answer:

Step-by-step explanation:

Factor the linear expression 50x-30

Answers

Answer:

10 (5x−3)

Hope this helps!

The Celsius scale for measuring temperatures is given by 9C = 5F-160, where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit.
Which system of equations would give the temperature where the degrees Celsius and degrees Fahrenheit are equal?

Answers

The correct option of system of equations that can be used to find the temperature at which the degrees Celsius and the degrees Fahrenheit would be equivalent is the option;

5·F - 9·C = 160

F - C = 0

What is a system of equation?

A system of equation, is a set of equation that have common variables.

The equation for conversion of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is; 9·C = 5·F - 160

When the temperature in degrees Celsius is equivalent to the temperature in degrees Fahrenheit, we get;

F = C

Therefore;

F - C = 0

Similarly, from the specified equation, we get;

9·C = 5·F - 160

5·F - 9·C = 160

The system of equation that would give the temperature where the degrees Celsius and degrees Fahrenheit are equivalent is therefore;

5·F - 9·C = 160

F - C = 0

(Which yields a temperature of 40°)

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