Sketch and prove the following for the two congruent triangles ∆ABC and ∆DEF.

The medians drawn from vertex A and D are congruent.

Label medians MA and ND ; then △ABM≅△

by reason

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given: ΔABC ≅ ΔDEF

AM, DN - medians

Prove: AM ≅ DN

Proof:

1. Congruent triangles ABC and DEF have congruent corresponding parts:

AB ≅ DE;BC ≅ EF;∠ABC ≅ ∠DEF.

2. BM ≅ MC - definition of the median AM;

3. EN ≅ NF - definition of the median DN;

4. AB ≅ 2BM, EF ≅ 2EN

BM ≅ 1/2 AB,

EN ≅ 1/2 EF,

thus, BM ≅ EN

5. Consider two triangles ABM and DEN. In these triangles \:

AB ≅ DE (see 1));BM ≅ EN (see 4));∠ABM ≅ ∠DEN (see 1).

So, ΔABM ≅ ΔDEN by SAS postulate.

6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.

Sketch And Prove The Following For The Two Congruent Triangles ABC And DEF. The Medians Drawn From Vertex

Related Questions

Why would a person choose a PPO over an HMO?

Answers

Answer:

With an HMO plan, you pick one primary care physician. All your health care services go through that doctor. That means that you need a referral before you can see any other health care professional, except in an emergency. Visits to health care professionals outside of your network typically aren’t covered by your insurance.

PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.

Staying inside your network means smaller copays and full coverage. If you choose to go outside your network, you'll have higher out-of-pocket costs, and not all services may be covered.

This got me 100% on the assignment!

PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.

Staying inside your network means smaller copays and full coverage.

HMO providers are paid on a per-member basis, regardless of the number of times they see a member.

This makes HMO plans a more economical choice than PPOs. An HMO generally only covers care received from the plan's contracted providers, known as “in-network” providers.

PPO plans generally are more expensive than HMO plans. However, due to the pooling of people in a PPO network, fees associated with health care will be lower for participants.

In other words, you will pay far less for services if you are in a PPO plan vs. not having insurance at all.

So, the person choose a PPO over a HMO.

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10 POINTS BOIII
What is the slope of the line on the graph? P.S it's supposed to be a number.

Answers

Answer:

negative 2.5

Step-by-step explanation:

The answer is -2.5.

What is the value of x?

x − 1/6 = 8

Enter your answer in the box in simplest form.

Answers

Answer:

8 1/6

Step-by-step explanation:

X - 1/6 = 8

Carry over the 1/6

X = 8 + 1/6

X = 8 1/6

To find out if X is correct

X (8 1/6) - 1/6 = 8

2x+6=x+14 pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease

Answers

2x+6=x+14

move x to the other side

sign changes from +x to -x

2x-x+6= x-x+14

2x-x+6= 14

x+6=14

move +6 to the other side

sign changes from +6 to -6

x+6-6=14-6

Answer: x= 8

x=8

Explanation:

2x+6=x+14
x+6=14
x=8

Select the correct answer
Which statement correctly compares a sprain to a strain
OA Asprain affects the bone, while a strain does not
OB. A sprain affects a ligament, while a strain does not
OC Sprains and strains use the same grading scale for severity
OD. Sprains and strains are permanent injuries without cures
Reset
Next

Answers

Answer:

b is the anwesr your looking for

Step-by-step explanation:

Answer:

b is it

Step-by-step explanation:

What is the difference of the complex numbers below?
(-2+5i) - (9+3i)
A. -11+8i
B. 11+2i
C. -11+2i
D. -11-8i

Answers

Answer:

Option c is correct answer

Step-by-step explanation:

See answer in above picture

Answer:

C. -11+2i

Step-by-step explanation:

If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30

Answers

Answer:

4,500

Step-by-step explanation:

150 x 30

15 x 3 = 45, add 2 0's at end, 4,500

The amount of rainfall each month over the past four years is shown below

Answers

Answer: C

Step-by-step explanation: On Edge 2020

D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

What is Symmetrical Graph?

A graph is said to be symmetric about a line if the graph remains unchanged when we reflect the graph on one side of the line to the other side.

Given is a histogram representing the amount of rainfall in the last 4 years or 48 months.

So the graph is symmetrical if we draw a line at the point 3.

Amount of rainfall is 0 - 1 inches for first 11 months. Then it is 1.01 - 2 inches for the next 8 months. Then 2.01 - 3 for the next 5 months and again 3.01 - 4 for the next 5 months. Then it is 4.01 - 5 and 5.01 - 6 for the next 8 years and 11 years respectively.

19 months has the rainfall less than 2.01 inches.

19 months has the rainfall greater than 4 inches.

Only 48 - (19 + 19) = 10 months are having rainfall in between 2.01 and 4.

So majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Hence the correct option is D.

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Your question is incomplete. The complete question with the missing part is below.

The amount of rainfall each month over the past four years is shown below.

Which statement must be true according to the histogram?

A) The data is skewed, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.

B) The data is skewed, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

C) The data is symmetrical, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.

D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

The points -4 and 5 are plotted on a number line. What is the distance, in units, between the two points?

Answers

The distance between two numbers is the absolute value of their difference.

Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:

[tex]d=|-4-5|=|-9|=9[/tex]

[tex]d=|5-(-4)|=|5+4|=|9|=9[/tex]

So, the two points are 9 units away.

Final answer:

The distance between the points -4 and 5 on a number line is 9 units, determined by subtracting -4 from 5 according to the rules of addition and subtraction of integers.

Explanation:

The question is asking for the distance between the points -4 and 5 on the number line. In mathematics, to calculate the distance between two points on a number line, we subtract the smaller number from the larger one. In this case, 5 is larger than -4, so we subtract -4 from 5. This involves the rules of addition and subtraction of integers, according to which subtracting a negative number is equivalent to adding the absolute value of that number.

So, to find the distance, we do: 5 - (-4) = 5 + 4 = 9. Following these rules of addition and subtraction of integers, we find that the distance between -4 and 5 on a number line is 9 units.

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HELP ASAP ILL GIVE YOU BRAINLEST

Answers

Answer:

f(x) = x² + 2x - 3

Step-by-step explanation:

From the graph the zeros are x = - 3 and x = 1

Thus the factors are (x + 3) and (x - 1) and

f(x) = (x + 3)(x - 1) ← distribute using FOIL

     = x² - x + 3x - 3

     = x² + 2x - 3

The volume of rectangular prism is 300 cubic inches.If the length of the prism is 5 inches and the width is 8 inches.What is the height of the rectangular prism ?

Answers

Answer:

7.5

Step-by-step explanation:

5 times 8 equals 40

300 divide 40 equals 7.5

to check the answer i use 5 times 8 times 7.5

and the answer is 300.

so my answer is correct

A line passes through the two given points. Is it vertical, horizontal, or neither?
(-8, 3), (-7,3)

Vertical
Horizontal
Neither

Answers

Answer:

it is Horizontal

Step-by-step explanation: A Horizontal line is constantly on a single point on the Y axis this line is on the point 3

Answer is verticle

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

Smith

Step-by-step explanation:

Woodson has fewer than Smith

Smith>Woodson

Woodson has more than Rodriquez

Smith>Woodson>Rodriguez

Blackburn has fewer then Rodriguez

Smith>Woodson>Rodriguez>Blackburn

Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 slices. Would he prefer 3 out of 6 or 4 out of 8 slices? Rafael replies that he isn’t very hungry, he would prefer 3 out of 6 slices. Explain what is wrong with Rafael’s reason?

Answers

Answer:

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* Lets explain how to solve the problem

- When we have a quantity we can divided it to many equivalent

 fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

 terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

 circle, if we multiply each term of the fraction by 2 (up and down)

 then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

 1/2 = 2/4 = 3/6 = ..................

* Lets solve the problem

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- Lets simplify the two fraction

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

   equal half the pizza

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Find two points that lie on a line with slope -9

Answers

Where's the picture? I need to see the graph first. I wouldn't be able to find the 2 points if i couldn't see graph

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much? Richard’s Distance Past the Start Line Time (minutes) 5 10 15 20 25 Distance (kilometers) 2.8 3.4 4.0 4.6 5.2 Gloria’s time was 0.5 minutes faster. Richard’s time was 0.5 minutes faster. Gloria’s time was 2.5 minutes faster. Richard’s time was 2.5 minutes faster.

Answers

Answer:

C

Step-by-step explanation:

Gloria’s time was 2.5 minutes faster.

Richard’s Distance Past the Start Line

Time (minutes)             5      10    15      20     25

Distance (kilometers)  2.8    3.4   4.0    4.6    5.2

Now, as Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line.

So, Gloria’s Distance Past the Start Line would be

Time (minutes)             5       10     15     20    25

Distance (kilometers)  0.6     1.2    1.8    2.4   3.0

Gloria’s time was 2.5 minutes faster.

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f(x)=-2x+1; {-2,0,2,4,6} Find the range of the function for the given domain.

Answers

Answer:

For the domain indicated, the range is  {-11, -7, -3, 1, 5}

Step-by-step explanation:

Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).

f(-2) = 5

f(0) = 1

f(2) = -3

f(4) = -7

f(6) = -11.

So the range for this domain is {-11, -7, -3, 1, 5}

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

What is the function?

A  function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

Here given function is [tex]f(x)=2x+1;(-2,0,2,4,6)[/tex].

So,

[tex]f(-2) =- 2(-2)+1\\\\=4+1\\\\=5\\\\f(0) = -2(0)+1\\\\=1\\\\f(2) =-2(2)+1\\\\ =-4+1\\\\=-3\\\\f(4) =-2(4)+1\\\\ =-8+1\\\\=-7\\\\f(6) = -2(6)+1\\\\=-12+1\\\\=-11.\\[/tex]

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

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what's the absolute of -7? (|-7|)​

Answers

Answer:

-7 can't have an absolute value if thats not what you meant then im sorry :(

Step-by-step explanation:

Answer:

The absolute value of -7 would be 7. Absolute value is unsigned which means that you remove the signs, even when a number is negative the absolute value is positive. I hope this helped :)

Step-by-step explanation:

f(x) = -3x + 3, then
f-1(x) =

Answers

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = - 3x + 3 ( add 3x to both sides )

3x + y = 3 ( subtract y from both sides )

3x = 3 - y ( divide both sides by 3 )

x = [tex]\frac{3-y}{3}[/tex]

Change x back into terms of y

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

3 question problem, plz HELP!!!!!!

Answers

Answer:

the four point cannot be on the same line , but they have to be on the plane.

A D C E

collinear means on the same line

so ABC

non-coplanar means the point do not lie on the same plane so you can include point F

F A D B

Simplify the following expression.

( -2 + 4i ) - ( 3 - 5i )

Answers

Answer:

-5+9i

Step-by-step explanation:

-2+4i-3+5i=-5+9i

The solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

What is simplification?

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given expression is,

( -2 + 4i ) - ( 3 - 5i )

opening the brackets,we have

-2 + 4i - 3 + 5i

Rearranging them by taking alike terms together,

-2 -3 + 4i + 5i

Solving them, we get

-5 + 9i

Hence,the solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

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I'LL GIVE BRAINLIEST HELP
Jim is paid for overtime when he works more than 40 hours per week.
a. Write an expression for the number of hours he works overtime when he works h hours.
b. Find the number of hours Jim works overtime when he works 40, 44, 48, and 52 hours.

Answers

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

Show that x^2 + 4x + 6 cannot be factorised by completing the square.

Answers

Answer:

see explanation

Step-by-step explanation:

Given

x² + 4x + 6

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 4x

= x² + 2(2)x + 4 - 4 + 6

= (x + 2)² + 2

This does not reduce to a difference of squares and cannot be factored further

84.375 as a mixed number

Answers

84 3/8 is the answer.

Betsy spends her entire allowance one month. She spends 1/2 on new clothes, 1/5 on food, 1/5 on movies, and 1/10 on music. How much more does she spend on clothes than she does on movies?

A) 1/5 of her allowance C) 3/10 of her allowance

B) 1/2 of her allowance D) 1/10 of her allowance

Answers

Answer: The answer is C because 1/2 - 1/5 = 3/10

4a - b = 3, solve for a​

Answers

Answer: your answer is

7a hope this helps you

Step-by-step explanation:

Answer:

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

Step-by-step explanation:

4a - b = 3

    + b + b

4a = 3 + b

Divide 4 on both sides.

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

what is 20% of 90? please help please please please

Answers

Answer:

18

Step-by-step explanation:

90 times 0.20 = 18

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 90}}{\left( \cfrac{20}{100} \right)90}\implies 18[/tex]

N is less then 6 units from 0



What is the answer?

Answers

The answer would be negative 6 or -6.

Hope this helps!

Final answer:

The values for N can be any number between and including -6 and 6, because the phrase 'N is less than 6 units from 0' signifies absolute distance from zero on the number line.

Explanation:

In mathematics, when we say 'N is less than 6 units from 0', we are referring to absolute distance from zero on the number line. That means, N could be any number that falls within the range of -6 to 6, inclusive. This is because the less than 6 units from zero is referring to both directions on the number line. For example, -4 is less than 6 units away from 0, also 5 is less than 6 units away from 0. Thus, the possible values for N are any numbers between and including -6 and 6.

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Distributive Property- Simplify each expression:

-10x(4 + 6x)

Answers

Answer: =−60x2−40x

Step-by-step explanation:

(−10x)(4+6x)

=(−10x)(4+6x)

=(−10x)(4)+(−10x)(6x)

=−40x−60x2

=−60x2−40x

what decimal equivalent of each rational number
7/20
-23/20
1/18
-60/22

Answers

Answer:

7/20=0.35

-23/20=1.15

1/18=0.5 (5 repeating)

-60/22=-2.72 (72 repeating)

The decimal equivalent of each rational number is given below:-

7/20=0.35

-23/20=1.15

1/18=0.5 (5 repeatings)

-60/22=-2.72

What are decimal numbers?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe how numbers are represented in the decimal system.

The decimal numbers will be calculated as below:-

(1) 7/20

Divide 7 by 20 to get the decimal form.

7/ 20 = 0.35

(2) -23/20

Divide -23 by 20 to get the decimal form.

-23/20 = 1.15

(3) 1/18

Divide 1 by 18 to get the decimal form.

1/18 = 0.5555555................

(3) -60/22

Divide -60 by 22 to get the decimal form.

-60/22 = 2.727272.......

Therefore, all the values in the decimal form are calculated above.

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