The value of ML = 3, using the mid-point theorem of triangles.
According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."
In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.
Thus, by the midpoint theorem, we can say that:
MN || BC, and MN = (1/2)BC,ML || AC, and ML = (1/2)AC, andNL || AB, and NL = (1/2)AB.Assuming AB = BC = AC = x units, we get:
MN = (1/2)BC = x/2,ML = (1/2)AC = x/2, andNL = (1/2)AB = x/2.
Thus, the triangle LMN is an equilateral triangle.
Thus, MN = ML = NL.
Given MN = 3, we can write the value of ML = 3.
Thus, the value of ML = 3, using the mid-point theorem of triangles.
Learn more about the mid-point theorem of triangle at
https://brainly.com/question/9635025
#SPJ1
The given question is in Spanish. The question in English is:
"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"
I need to find what x
Answer:
Step-by-step explanation:
Add the 21 then divide by 2
Answer:
x = 16, x = -7
Step-by-step explanation:
The question is;
35 * 4 = ( x - 7 ) ( x - 3 )
Combine like terms on one side;
140 = ( x - 7 ) ( x - 3 )
Distribute, remember to multiply every term with one another;
140 = [tex]x^{2}[/tex] - 3x - 7x + 21
Combine like terms;
140 = [tex]x^{2}[/tex] - 10x + 21
Inverse operations;
140 = [tex]x^{2}[/tex] - 10x + 21
-21 -21
119 = [tex]x^{2}[/tex] - 10x
Factor;
119 = x ( x - 10 )
At this point it is fairly obvious that;
x = 16, x = -7
Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain
A chemist is using 329 milliliters of a solution of acid and water. If 13.4% of the solution is acid, how many milliliters of acid are there? Round your answer to
the nearest tenth.
I milliliters
х
5
?
Answer:
44.1mm
Step-by-step explanation:
Given
Total solution of acis nad water = 329mm
Percentage that is acid = 13.4%
Amount that is acid = 13.4% of 329
Amount that is acid = = 13.4/100 * 329
Amount that is acid = 13.4*3.29
Amount that is acid = 44.086
Hence the amount of acids there is 44.1mm
7 (4.3 + p)
note p=5.7
Answer:
70
Step-by-step explanation:
Replace p with 5.7.
7 (4.3 + p) = 7 (4.3 + 5.7)
= 7 (10)
= 70
Answer:
4.3 + 5.7 = 10
7 * 10 = 70
Hence, 70 is the answer
Hope it helps
Please mark me as the brainliest
Thank you
joe sold half of her comic books, then she bought 18 more. She now has 36. With how many did she bigin?
Answer: Joe began with 36 books.
Step-by-step explanation:
x/2+18=36. 36+18=x. x/2-18=36.
How do you graph this?
Answer:
You need more information to graaph this.
Step-by-step explanation:
Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?
$24,000
$24,000
$2,400
$2,400
$4,800
$4,800
$600
PLEASE HELP ME WITH THIS FOR BRAINLIEST
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the part.
Answer:
Adults
= Percentage of adults * Total number of people who visited
= 56% * 1,575
= 882 adults
Teenagers
= Percentage of teenagers * Total number of people who visited
= 16% * 1,575
= 252 teenagers
Children
= 28% * 1,575
= 441 children
Express each ratio as a fraction in simplest form.
26:169 and 36 to 78
Answer:
Step-by-step explanation:
1. 26/169 = 2/13
2. 36/78= 6/13
Question 6
Solve for x
4x = 10
A
X= 40
B
x = 2.5
С
x=4
D
x = 40
Answer:
B
Step-by-step explanation:
4x = 10
x = 10 / 4 = 2.5
When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)
Answer:
(6,0)
Step-by-step explanation:
If the y-coordinate is 0, it is lying on the x-axis
Same with the x-coordinate. If it is 0, it is lying on the y-axis
1. Perry ran 30 miles more than DeShawn last month. Perry ran 46 miles. Write and solve an ADDITION equation to represent how many miles DeShawn ran.
2. For weeding the garden, Jacob was given $12.50. Now he has $23.00. Write and solve an ADDITION equation to represent how much money Jacob had before he was paid.
3. Mary won 80 super bouncy balls playing hoops at the county fair. At school she gave one to every student in her math class. She only has 56 remaining. Write and solve a SUBTRACTION equation to represent how many bouncy balls she gave away.
4. After paying $9.00 for a pizza, Nora has $27.10. Write and solve a SUBTRACTION equation to represent how much money she started with.
5. Seven candy bars cost $12.25. Write and solve a MULTIPLICATION equation to represent the cost of one candy bar.
6. I was driving at 70 miles per hour and traveled 437.5 miles.
Write and solve a MULTIPLICATION equation to represent how many hours I traveled.
Scott and seven of his friends went out to eat.
7. They split the bill evenly. Each person paid $17.82. Write and solve a DIVISION equation to represent the total bill.
8. Kathryn and her best friend found some money under the couch. They split the money evenly, each getting $24.18. Write and solve a DIVISION equation to represent the amount of money found under the couch.
Answer:
30+46=76
Step-by-step explanation:
so you want to draw out a model and write the two numbers and add them.
HELPPP
The school that Ryan goes to is selling tickets to a play. You can buy 2 senior citizen tickets and 4 child tickets for a total of $70. You can also buy 2 senior citizen tickets and 1 child ticket for a total of $31. What is the price each of one senior citizen ticket and one child ticket?
A) senior citizen ticket: $13, child ticket: $9B) senior citizen ticket: $6, child ticket: $7C) senior citizen ticket: $9, child ticket: $13D) senior citizen ticket: $13, child ticket: $14
Answer:
6 for senior and 7c for child
Step-by-step explanation:
5/6 times k = 1/6 what is K
Answer:
[tex] \frac{5}{6} k = \frac{1}{6} \\ \ \\ \ k = \frac{1}{6} \times \frac{6}{5} \\ \\ k= \frac{1}{5} [/tex]
*WILL GIVE BRAINLIEST*
Find the surface area of the rectangular prism:
Teacher resources - Surface area of prisms and cylinders page 1
A: 120 cm2
B: 12 cm2
C: 60 cm2
D: 94 cm2
Which expression has the smallest value? ǀ 65 ǀ - ǀ -34 ǀ - ǀ 27 ǀ ǀ -17 ǀ
Answer:| -17|
Step-by-step explanation: the lines represent the absolute value which is 17 out of the rest it has the smallest value
Please Someone Help Me
Answer:
x=4 : y = -8
Step-by-step explanation: happy to help let me know if you have any more questions.
okay so last time my file did not show up so lets try again
Answer:
you are correct
Step-by-step explanation:
5 - 2(x + 2)
Since parenthesis comes first in PEMDAS, distribute 2
5 - 2x - 4 = 1 - 2x
how do i multiply integers with different sign
Answer:
alensdkhvabroefsljndfs
Step-by-step explanation:
Escribe las siguientes cantidades en forma de notación científica
a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros
Answer:
I don't know. I am sorry
Step-by-step explanation:
Two long strips of paper are each 2 inches wide, and they overlap so that the angle between the strips is 30 degrees. What is the number of square inches in the area of the parallelogram formed by the overlap?
.
Answer:
Step-by-step explanation:
37 inches
Convert (-3, 0) to polar form.
A. (3, 0 degrees)
B. (-3, 180 degrees)
C. (3, 180 degrees)
D. (3, 360 degrees)
Answer:
The answer would be A. (3,0)
Find the slope from point (3,45) and (5,75)
Answer:
15
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 75-45)/( 5-3)
= 30/2
= 15
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2
Answer:
Step-by-step explanation:
Car 2 is traveling faster than Car 1. Option B is correct.
Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second
Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2 is faster than car 1.
Thus, Car 2 is traveling faster than Car 1. Option B is correct.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ5
When can we say that a function is continuous?
The sum of two integers is 9. Their difference is 5. What are the two integers?
(A) 7 and 12
(B) -7 and 16
(C) -12 and -7
(D) 2 and 7
Answer:
D) 2 and 7
Step-by-step explanation:
x+y=9
x-y=5
----------
2x=14
x=14/2=7
7+y=9
y=9-7=2
can someone help me how to calculate a square root of 8
Answer:
2.82842712475
Step-by-step explanation:
when you square 2.82842712475 your answer is 8 so the number above Is answer
Answer:
8 = 64 √8 = 2.828
Step-by-step explanation:
√8 = √(4 * 2) = √4 * √2 = 2√2 ≈ 2.828427.
Hope this helps you!
What is the value of 3n if n=2
Answer:
6
Step-by-step explanation:
3n=3(n)
ur replcing n with 2
3(2)=3x2
3x2=6
Answer:
6
Step-by-step explanation:
3n means you are multiplying 3 and n. since n = 2, the only thing you need to do is plug in 2 for n and then simplify by multiplying 3 · 2.
plug in 2 for n:
3n ⇒ 3(2)
multiply 3(2):
3(2) = 6
therefore, when n = 2, 3n = 6.
WORLD PEACE EVERY WHERE
love,
compassion,
kindness,
responsibility,
humbleness,
reborn,
greatness,
success,
hopeful
, joy
Answer:
yes Amen and we also need Jesus
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
That would solve so many problems
4. The area of Mr. Badu's rectangular farm is
5500 cm', its width is 11 m. Find the length
of the farm.
Answer:
50m
Step-by-step explanation:
5500cm=550m
Area=length*width
550=length*11
length=550/11=50