Prove two triangles congruent by a side, a median drawn to that side, and the angle formed by the side and the median.
Answers
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
Related Questions
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
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:
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
Which of the following represents the additive inverse of h?
Answers
Answer:
B or -h
Step-by-step explanation:
i took the quiz
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
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
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.
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! :)
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
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.
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.
will the answer to 3 × 6 be even or odd?
Answers
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.
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
If p stands for "this meal is delicious
Answers
Answer:
I don't understand.......
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.
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
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.
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?
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
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
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
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
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
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
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.
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.
Math question down below
Answers
Answer:
6 and 3/4
Step-by-step explanation:
add all of the ones before 2 1/2
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
