HELP ME PLZ 40 POINTS
In Triangle ABC, L is the midpoint of AB, M is the midpoint of BC, and N is the midpoint of CA.
Also, AL = 6, MB = 7, and AC = 24.
What is the perimeter of the Triangle LMN?
Answers
Answer:
∵ M is midpoint of BC, N is midpoint of CA
∴ MN ║ AB
∴ MN = 1/2 AB
∴ MN = 1/2 12 (AB = 6+6, because AL = LB as L is midpoint)
MN = 6cm ---> ( 1 )
∵ M is midpoint of BC, L is midpoint BA
∴ CA ║ LM
∴ LM = 1/2 AC
LM = 1/2 24 = 12cm ---> ( 2 )
∵ L is midpoint AB, N is midpoint of CA
∴ LN ║ BC
∴ LN = 1/2 BC
∴ LN = 1/2 14 (BC = BM + MC because they are equal as M is midpoint)
∴ LN = 7cm ---> ( 3 )
From ( 1 ), ( 2 ) & ( 3 ), The Perimeter of Δ LMN = 7+12+6 = 25cm
Related Questions
The perimeter of the rectangle is 45 find out x
Answers
Answer:
x = 7.5cm
Step-by-step explanation:
perimeter of the rectangle = 45cm
=> 2(2x + x) = 45
4x + 2x = 45
6x = 45
x = 7.5 (cm)
Answer:
x = 7.5Step-by-step explanation:
The perimeter of the rectangle is 45 find out x
2x + 2x + x + x = 45
6x = 45
x = 45 : 6
x = 7.5
--------------------------
check
2 * 7.5 + 2 * 7.5 + 7.5 + 7.5 = 45
the answer is good
Solve each quadratic inequality then test their interval of the inequality.
1. x² - x - 20 > 0
2. x² - 2x - 11 < 0
3. x²+ 9x + 14 > 0
4. r² - 10r + 16 > 0
Answers
Answer:
1 . x < − 4 or x > 5
2 . 1 − 2 √ 3 < x < 1 + 2 √ 3
3 .x < − 7 or x > − 2
4. r < 2 or r > 8
Step-by-step explanation:
Question 4 (1 point)
What is the Median of this set of data?
4 4 5 5 6 6
a 6
b no median
c 4
d 5
Answers
Answer:
5
Step-by-step explanation:
when you can't get a middle number if they are the same you carry one if they are different you add them together
Solve each equation.
1. 8z = 112 ____
2. d/14 = 7 ___
3. f/28 = 24 ___
4. 3a = 57 ____
Answers
Answer:
Step-by-step explanation:
1. 8z = 112 _z = (112/8); z=14
2. d/14 = 7 _ d = 7*(14); d = 98
3. f/28 = 24 ___f = 28(24); f= 672
4. 3a = 57 ____ a = 57/3; a = 19
what is 6060 x 63530
Answers
Answer:
384991800
Step-by-step explanation:
calculator
An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were women. Furthermore, his records show that 37% of the women who visited his dealership purchased an automobile, while 21% of the men who visited his dealership purchased an automobile.
a. What is the probability that a customer entering the showroom will buy an automobile?
b. Suppose a customer visited the showroom and purchased a car. What is the probability that the customer was a woman?
c. Suppose a customer visited the showroom but did not purchase a car. What is the probability that the customer was a man?
Answers
Answer:
Step-by-step explanation:
(let's assume that people are either classified as man or woman)
m=man
b=buy
a
a.) we are looking for b
we are given
m'=.4
b|m'=.37
b|m=.21
b=b∩m+b∩m'
b∩m= (1-.4)(.21)
b∩m'=.4*.37
b= .274
b.) we are looking for m'|b
m'|b= m'∩b/b
m'∩b=.4*.37
b= .274
m'|b=.540145985
c.)
m|b'= m∩b'/b'
m=m∩b'+m∩b (law of total probability)
.6=m∩b'+.6*.21
m∩b'=.474
.474/(1-.274)= .652892561985
The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the combined weight in pounds of the people in the elevator?Find 40% of 3,000.Find 40% of 4,000.Find 50% of 3,000.Find 50% of 4,000.
Answers
Answer:
50% of 3000
Step-by-step explanation:
49% is very close to 50% (half). 3,025 pounds is very close to 3,000 pounds.
Half of 3,000 pounds is 1,500 pounds.
Answer:the correct answer is (c)-Find 50% of 3,000.
Step-by-step explanation:i got right in egde 2023
In the figure below,
What is the measure of
Answers
Answer:
It will be 47. hope it helps:)
Step-by-step explanation:
Please help, i have a quiz tomorrow and i need a good step by step explanation.
Answers
Answer:
use additional and multiplication ONLYY
solve for X
−3x−28=95
Answers
Answer:
−3x−28=95-3x = 95+28-3x = 123-x = 123/3-x = 41x = -41Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
-41
Step-by-step explanation:
I took the test
Joe wants to make a path around the outside perimeter of his vegetable garden which is 50’ x 70’. If the path is of uniform width and the entire garden and path are to cover a surface area of 4524 sq feet how wide should the path be
Answers
We will see that the path should be 4 feet wide.
How wide should the path be?
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we know that the dimensions of the garden are:
L = 50 ftW = 70 ftNow if we add a path of width x that surrounds it, the new length and width will be:
L' = 50 ft + 2xW' = 70 ft + 2xAnd the area of this rectangle must be 4524 ft^2, then we have:
(50 ft + 2x)*(70 ft + 2x) = 4524 ft^2
Now we can solve this for x.
Ignoring the units, so the math is easier to read, we have:
(50 + 2x)*(70 + 2x) = 4524
50*70 + 50*2x + 2x*70 + 2x*2x = 4524
3500 + 240x + 4x^2 = 4524
4x^2 + 240x + 3500 - 4524 = 0
4x^2 + 240x - 1024 = 0
Now to simplify the quadratic equation, we can divide both sides by 4 to get:
x^2 + 60x + 256 = 0
The solutions of the quadratic equation are given by Bhaskara's formula:
[tex]x = \frac{-60 \pm \sqrt{60^2 - 4*1*(-256)} }{2*1} \\\\x = \frac{-60 \pm 68 }{2}[/tex]
We only care for the positive solution (the negative one does not make physical sense).
x = (-60 + 68)/2 = 4
So the width of the path must be 4 ft.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
Solve the inequality and enter your solution as an inequality.
x/-5 < 10
Answers
Answer:
x>-50
Step-by-step explanation:
x(-1)/-5>10(-1)
x/5>-10
×5 both sides
5x/5>5(-10)
x>-50
What is one of the major uses of physical geography? O A To help people prepare for dangerous weather B. To identify similarities between different religions OC. To allow governments to plan for population growth D. To explain why countries go to war with one another
Answers
Answer:
A
Step-by-step explanation:
please help me please
[tex] {x}^{2} + 5x + 4 \\ \\ x {}^{2} -8x - 7 [/tex]
Answers
Answer:
[tex] {x}^{2} + 5x + 4 \\ \\ {x}^{2} + 4x + 1x + 4 \\ \\ x(x + 4) + 1(x + 4) \\ \\ (x + 4)(x + 1) \\ \\ {x}^{2} - 8x - 7 \\ \\ {x}^{2} - 7x + 1x + 7 \\ \\ x(x - 7) + 1( \times - ) \\ \\ (x - 7)(x + 7)[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Question 1 ~[tex] {x}^{2} + 5x + 4[/tex][tex] {x}^{2} + 4x + x + 4[/tex][tex]x( x + 4) + 1(x + 4)[/tex][tex](x + 4)(x + 1)[/tex]So, the roots are ~
[tex] \boxed{x = - 4}[/tex]and
[tex] \boxed{x = - 1}[/tex]Question 2 ~[tex] {x}^{2} - 8x - 7[/tex]let's use the quadratic formula for this one ~
(because it can't be solved through middle term split method)
[tex] \boxed{ \mathrm{ \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}[/tex]
where,
b = -8 (Coefficient of x)a = 1 (Coefficient of x²)c = -7 (Constant)now, let's plug the values to find the roots ~
[tex] \dfrac{ - ( - 8) \pm \sqrt{( - 8) {}^{2} - (4 \times 1 \times - 7) } }{2 \times 1} [/tex][tex] \dfrac{8 \pm \sqrt{64 - ( - 28)} }{2} [/tex][tex] \dfrac{8 \pm \sqrt{64 + 28} }{2} [/tex][tex] \dfrac{8 \pm \sqrt{92} }{2} [/tex][tex] \dfrac{8 \pm4 \sqrt{23} }{2} [/tex][tex] \dfrac{2(4 \pm2 \sqrt{23)} }{2} [/tex][tex]4 \pm2 \sqrt{23} [/tex]So, the roots are ~
[tex] \boxed{x = 4 + 2 \sqrt{23} }[/tex]and
[tex] \boxed{x = 4 - 2 \sqrt{23} }[/tex]Last night, the two dinner specials at Judith's favorite restaurant were salmon filet and steak. The restaurant served 60 specials in all, 10% of which were salmon filets. How many salmon filets did the restaurant serve?
Answers
Answer: 6 of the specials were salmon filets.
Step-by-step explanation: 10% of 60 is 6.
10/100 x 60.
Please help i need help please
SAVE ME
PLEASE
Answers
Answer:
no the triangle are not similar
Step-by-step explanation:
because the triangles angles are different and they are called isoleses triangle.
Answer:
no they are not similar
Step-by-step explanation:
because for the top triangle the angle is equal -7 on the left and 60 degrees on the right and the bottom is equal to 15 degree on the top 35 degrees on the left and 4 on the right so the one on top is larger
top triangle = 67 bottom triangle = 54
TRIGNONMETRY
Two bike riders are traveling down a road when they reach a split in the road. The two bikers take separate routes at 17 km/h and 24 km/h. About 2 hours later they are 38 km apart. Draw a labeled sketch of the situation and then determine the angle between the
path of the two bikers to the nearest degree.
Answers
Answer:
i like ur pp
Step-by-step explanation:
Would 3x+4 on a graph be + or -?
Answers
Answer:
3x+4 on a graph would be positive
Step-by-step explanation:
each square on a grid represents 1 unit on each side.Calculate the slide of Graph E.What situation could the graph represent
Answers
Answer:
p=4x
Step-by-step explanation:
The line is straight
Find f(x) for f(x) = 3x + x, if x =2 PLEASE HELP
Answers
Answer:
8
Step-by-step explanation:
f(x) = 3x + x
Combine like terms
f(x) = 4x
Let x = 2
f(2) = 4(2)
f(2) = 8
Answer:
8
Step-by-step explanation:
f(x) = 3x + x
f(2) = 3(2) + 2
f(2) = 6 + 2
f(2) = 8
The YMCA built a new pool.
The perimeter of the pool is 125 feet.
What is the length of the missing side?
8 feet
25 feet
25 feet
15 feet
15 feet
?
Answers
Answer:
The missing length is 37.
Step-by-step explanation:
Perimeter is basically adding up the sides.
So,
8+25+25+15+15=88
125-88= 37
6) Manert's grandfather put $8000 in the bank for him when he was 5. The account has been
earning 4% interest compounded annually. Manert is now 88 years old and wants take out the
money so he can go to Jamaica. How much money does he have now? Show how you got your
answer.
Answers
His total would be $207,423.
Jordan needed to get his computer fixed. He took it to the repair store. The
technician at the store worked on the computer for 6 hours and charged him
$55 for parts. The total was $505. Write and solve an equation which can be
used to determine x, the cost of the labor
per hour.
Answers
The cost of the labor per hour will be $75 and the equation will be 505=75x+55.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the technician at the store worked on the computer for 6 hours and charged him $55 for parts. The total was $505.
The cost per hour will be calculated as below:-
505-55= 450,
This means he paid $450 total for the cost of labor. Divide 45 by 6 to get 75.
He actually paid $75/hour.
505=75x+55.
x=75
Therefore, the cost of the labor per hour will be $75 and the equation will be 505=75x+55.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
The Redwood Heights Women’s Club is hosting a summer nighttime party in the park. They are handing out glow sticks to all the children who attend. They start with 200 glow sticks and each child receives 3 glow sticks. The function graphed models the number of glow sticks they have left after xchildren have entered.
Answers
Answer:
African Americans contributed to the war by
combat service elements alongside their white counterparts and were involved in all major combat operations, including the advance of United Nations Forces to the Chinese border. Two African-American Army sergeants, Cornelius H. Charlton and William Thompson, earned the Medal of Honor.
African americans have contributed to the war by. BY. BY. BY. BY.
Step-by-step explanation:
I need help and nothing from the internet
I will give brainleist
5 stars
and a thanks
Define the associative, commutative, and distributive properties of addition
I need a specific definition of the different properties.
Answers
Answer:
I DONT KNOW IF THIS WILL HELP
Step-by-step explanation:
Answer:
The commutative, associative and distributive properties describe how basic mathematical operation work. The properties are helpfully in finding efficient ways
Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold.
What was the total value of the furniture Dennis sold?
Answers
The total value of the furniture that was sold by Dennis is 3,500 dollars.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Dennis made an extra $245.00 for selling furniture.
Let the cost of the furniture be x.
Let the total value of the furniture be x + 245.
The extra $245.00 was 7% of the total value of the furniture he sold.
0.07(x + 245) = 245
x+ 245 = 3500
x = 3255
Then the total value of the furniture is (3,255 + 245 =) $3,500.
More about the percentage link is given below.
https://brainly.com/question/8011401
Julissa has 15 stamps and Ethan has 14 stamps. Pawel has three times the number of stamps as Julissa and Ethan combined. Julissa thinks that 100 is a reasonable estimate for the number of stamps that Pawel has.
What is an estimate of the number of stamps that Pawel has? Is 100 a reasonable total?
32; 100 is a reasonable total
90; 100 is a reasonale estimate
213; 100 is not a reasonale estimate
630; 100 is not a reasonale estimate
Answers
Answer:
B. 90; 100 is a reasonable estimate
Step-by-step explanation:
15 + 14 = 29 (combined number of stamps Julissa and Ethan have)
Pawel has three times 29 stamps
29 ×3 = 87 (number of stamps Pawel has)
90 is the closest estimate to the amount of stamps Pawel has.
Therfore, 90 is the correct estimate and 100 is a reasonable estimate.
WILL GIVE BRAINLIEST! 25 POINTS!
Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
Identify any values of data that might affect the statistical measures of spread and center.
The females worked less than the males, and the female median is close to Q1.
There is a high data value that causes the data set to be asymmetrical for the males.
There are significant outliers at the high ends of both the males and the females.
Both graphs have the required quartiles.
Answers
Answer:
Difference
Step-by-step explanation:
The Difference of boys and girls in the school coyld change the ratios
A tree was 4ft tall when it was planted. It grows 2ft per year. Which equation could be solved to determine how many years the tree will take to grow to a height of 16ft from the time it was planted?
Answers
Answer:
the ecuation is 4+2x=16, and x is the number of years the tree needs to grow to a height of 16 ft
Can someone please help me with this
Answers
Answer:no not in amillion years
Step-by-step explanation:hehe nahhhhhhhhhh lll
