Prove two triangles congruent by a side, a median drawn to that side, and the angle formed by the side and the median.

Answers

Answer 1

Let's call one triangle ABC, and M the midpoint of AB.

Let's call the other triangle DEF, and midpoint N of DE.

We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF

AB ≅ DE  Given

AM ≅ BM and DN ≅ EN    Def median/midpoint

AM+BM=AB  and DN+EN=DE     Segment addition theorem

2AM=2BM=AB and 2DN=2EN=DE   Substitution (eg BM for AM)

AM ≅ BM ≅ DN ≅ EN        Transitivity, algebra

CM ≅ FN   Given

∠AMC ≅ ∠DNF   Given

ΔAMC ≅ ΔDNF     Side Angle Side

AC ≅  DF   CPCTC

∠BMC ≅ ∠ENF   Supplements of congruent angles are congruent

ΔBMC ≅ ΔENF     Side Angle Side

BC ≅  EF      CPCTC

Δ ABC ≅ Δ DEF   Side Side Side

Prove Two Triangles Congruent By A Side, A Median Drawn To That Side, And The Angle Formed By The Side

Related Questions

Five-sixths of a number is 45.
Find the number.

Answers

Answer: The number is 54!!!

Hope it helps!!!



Step-by-step explanation:

Let's call the number x.

So, 5/6 (of or multiplication) = 45

5x = 45* 6

x = 270/5

x = 54

The answer is 54. Hope this helps!

Students in grade 7 and 8 were asked which food they liked best the results are shown in the table below?

Answers

Answer:

55% if the students like hotdods

Answer:

55%

Step-by-step explanation:

What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?

Answers

Answer:

24 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = 0.5 × 6 × 8 = 24 cm²

will the answer to 3 × 6 be even or odd?

Answers

The answer will be even
Even 3x6 would be 18 which is even

I need help with this please ASAP!!!

Answers

Answer:

11.3

Step-by-step explanation:

i used the theorem of Pythagoras

Answer:

11.3

Step-by-step explanation:

In a right angled triangle:  the square of the hypotenuse is equal to

the sum of the squares of the other two sides.

[tex]8^{2} + 8^{2} = x^{2}[/tex] (x is the hypotenuse)

64 + 64 = [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 128

=> x = [tex]\sqrt{128}[/tex] = 11.3137085 = 11.3

elijah's credit card statement showed these items: Last Balance Payments Finance Rate New Charges $152.58 $45.00 1.5% $213.40 What is Elijah's new balance? $320.98 $322.59 $323.27 $397.51

Answers

Answer:

Option A,$320.98  is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

last balance as shown by the statement was $152.58

new charges were $213.40

payment made by Elijah was  $45

new balance=$152.58+$213.40-$45=$320.98

The rationale for this is that the new charges on the card account add to previous balance owed by Elijah while the payment of $45 made reduces overall balance.

Answer:

Other answer is incorrect. Elijah's new balance would be $322.59

Your welcome.

Which set of numbers is correctly ordered from least to greatest?
24 x 63
5.7 15.758,956 V
63
24 x
S
15.758
4.956 Ve
9566 15.753, 24, 49
63
956 /
15.758
24 x
5

Answers

Answer:

The set of numbers that is correctly ordered from least to greatest is 5.7, 15.758, 24, 49, 63. Is there anything else you would like to know?

Show the Euler-Descartes formula holds for the Great Pyramid of Cheops

Answers

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four  at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

Choose the appropriate plan letter for each question
Plan____ has the lowest range
Plan____ has the highest y intercept
Plan___ is the plane that is the best value

Answers

c is the lowest range

a has the highest y incerpt

d is the best value

What is the slope of the line represented by y=3/4x-1 ? A. –1 B. -3/4 C. 3/4 D. 1

Answers

Answer:

3/4

Step-by-step explanation:

In the above equation the y-intercept is -1 and the slope of the equation is 3/4

Answer:

The answer is C or 3/4.

Step-by-step explanation:

This equation is in point-slope form or Y= mx+b. The variable m represents slope. So, just look for the number that stands in place of m. Hope this helps! Please mark Brainliest! :)

Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1

Answers

Answer:

The answer is 4.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

|x| just means positive x so the equation turns into 8-5+1

8-5 = 3

3+1 = 4

Math question down below

Answers

Answer:

c.

Step-by-step explanation:

10.98/2=5.49

16.19/3=5.40

21.15/4=5.29

26.85/5=5.37

If p stands for "this meal is delicious

Answers

Answer:

I don't understand.......

Use the given circle. Find the length s to the nearest tenth.

a) 10.5 in
b) 5.2 in
c) 3.3 in
d) 20.9 in

Answers

Answer: its A

Step-by-step explanation:

Any smooth curve connecting two points is called an arc. The length of arc s to the nearest tenth is 10.5 in.

What is the Length of an Arc?

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where θ is the angle, which arc creates at the center of the circle in degree.

The length of the given arc s, with an angle made at the center equal to (2/3)π and radius of 5 inches can be represented as,

[tex]\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

[tex]\text{Length of Arc s} = 2\pi \times (5)\times \dfrac{\frac23\pi}{2\pi}[/tex]

                        [tex]=10.472\approx 10.5\rm\ in[/tex]

Thus, the length of arc s to the nearest tenth is 10.5 in.

Learn more about Length of an Arc:

https://brainly.com/question/1577784

Math question down below

Answers

Answer:

6 and 3/4

Step-by-step explanation:

add all of the ones before 2 1/2

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?
A. 2/25
B. 1/5
C. 1/4
D. 2/5

Answers

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?

Answers

Answer:

There are 180 possible combinations for the furniture.

Step-by-step explanation:

4*5*9=180

Answer

180 combinations

Step-by-step explanation:

To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.

There are 10 shirts in a drawer. Eight of the shirts have short sleeves. Two shirts have long sleeves. Estimate the probability that you get a short-sleeved shirt if you select one out without looking.

Answers

Answer:

4/5

Step-by-step explanation:

8/10=4/5

Which of the following represents the additive inverse of h?

Answers

Subtract ............

Answer:

B or -h

Step-by-step explanation:

i took the quiz

Complete the following ratios:

Answers

Answer:

700/821, 429/821, 700/429

Step-by-step explanation:

SOH, CAH, TOA

Sin= opp/hyp

Cos= adj/hyp

Tan= opp/adj

yes he is correct ..

Michael has $10 in his savings account. Option 1 will add $100 to his account each week. Option 2 will double the amount in his account at the end of each week. Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike.

Answers

Answer:

i am thinking option 1

Step-by-step explanation:

i may be wrong if i am correct me

Hello there i hope you are having a great day :) Your Question : Michael has $10 in his savings account. Option 1 will add $100 to his account each week. Option 2 will double the amount in his account at the end of each week. Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Answer : So the first Michael has $10 in hes saving account. Option 1 puts $100 in each week so 7 weeks would equal to 7 weeks x $100 = $700 that would equal the amount for the bike in 7 weeks or Option 2 Will double the amount in hes account each week so $10 x 2 = $20. 1 week $20 2 week $40 3 week $80 4 week $120 5 week $240 6 week $480 7 week $960. So the Option two Is the best one as Option one would equal to $700 and Option two $960 that would equal left over $260. Hopefully that helps you ❤

is it true that energy never moves

Answers

Answer:

False

Step-by-step explanation:

Energy is transferred from one object to another when a reaction takes place. Energy comes in many forms and can be transferred from one object to another as heat, light, or motion, to name a few.

DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?

130,000
131,404
128,000
399,876

Answers

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

Sorry if its blurry im on my laptop

Answers

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

actual

25 ft×10 ft

What is the answer to this question?

Answers

Answer:

The answer is 480 in^3

Step-by-step explanation:

Right rectangular prism calc - find V

volume = h * w * l where h is prism height, w is its width and l its length.

Pythagorean Theorem: How many yards will the players have to run?

Answers

Answer:

≈ 125.3

Step-by-step explanation:

If we're using the Pythagorean Theorem to solve this, then the formula is:

[tex]a^{2}+ b^{2} =c^{2}[/tex]

So basically, by using this formula, you're finding the length that the soccer players will run diagonally. Plug in the numbers:

[tex]110^2 + 60^2 = c^2[/tex]

12100 + 3600 = [tex]c^2[/tex]

15700 = [tex]c^2[/tex]

Take the square root:

15700 = [tex]c^2[/tex]

[tex]\sqrt{15700} = \sqrt{c^2}[/tex]

125.3 ≈ c

which statement must be true

Answers

Answer:

(C)

Step-by-step explanation:

AD and BC are parallel to each other. They are the same distance but they never touch.  

Your best answer would be C.

Brainilest appreciated.

What is the rank of Brazil. (Percentile wise)

Answers

Answer:

I dont know it this is the answer u r looking for but out of everything on the list, brazil has 2.2222222222222 percent

Answer:

3.9%  

Step-by-step explanation:

add up all the Olympic medals =485

Brazil = 19

to get the rank of Brazil 19/ 485 =0.039175..... multiply by 100 to get %

The shark dove down 48 feet in 6 minutes. How many feet did the shark dive down per minute?

Answers

Answer:

8 ft per minute

Step-by-step explanation:

Take the number of feet and divide by the number of minutes

48 ft / 6 minutes

8 ft per minute

The answer is 8 sorry if I am wrong

what is the inequality

Answers

Answer:

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.

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