The requried length of the AB is given as AB = 16.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Since triangle DEF is formed by connecting the midpoints of the sides of triangle ABC, the length of the sides of triangle DEF is half the length of the corresponding sides of triangle ABC. That is:
DE = 1/2 AB
EF = 1/2 BC
FD = 1/2 AC
We can use the information about the lengths of the sides of triangle DEF to find the length of AB.
Since DE = 8 and EF = 10, we can use the triangle inequality to find FD:
FD + DE > EF
FD + 8 > 10
FD > 2
Similarly, since EF = 10 and FD = 12, we can use the triangle inequality to find DE:
DE + EF > FD
DE + 10 > 12
DE > 2
Finally, since DE = 8 and FD = 12, we can use the triangle inequality to find EF:
EF + FD > DE
EF + 12 > 8
EF > -4
Since all sides of a triangle must have positive lengths, EF cannot be negative. Therefore, the inequalities we have found imply that:
2 < FD < 12
2 < DE < 8
0 < EF < 10
Since DE = 1/2 AB and EF = 1/2 BC, we can write:
AB = 2DE = 2(8) = 16
BC = 2EF = 2(10) = 20
Therefore, the length of AB is 16.
Learn more about triangles here:
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A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. You ask a friend to pick one without looking. What is the
probability that he picks one that is not red?
Answer:
8/125 (blue) +3 (orange) +4 (red) =12 (total)
5 (blue) +3 (orange)=8 (number of marbles that aren't red) or 12 (total) - 4 (red marbles)=8
or 66.6667%Can someone please give me the answers to both I will mark u brilliant
Answer:
I believe it is [tex]8 units^{2}[/tex]
Answer: The area is 9 units2.
Step-by-step explanation:
A= lw
A= 2*3
A=6
A= b*h*1/2
A= 2*3*1/2
A=3
6+3=9
What is the value of x when the Richter
scale rating is 4.37 Round your answer
to the nearest hundredth.
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
angle QRT and angle POM
Step-by-step explanation:
please help !!!!!.......
Answer:
6
Step-by-step explanation:
What is the rule for dividing a fraction explain.
Answer:
When students see a number that ends in an even digit, they should know the number can be divided into two evenly. However, numbers that end in odd digits can be divided by two, they'll just have a remainder or decimal.
Step-by-step explanation:
Help asappp pleaseeee
Answer:
117 degrees
Step-by-step explanation:
Two vertical angles will always equal each other.
So, set up an equation where angle A and angle B equal each other to solve for x:
5x - 3 = 4x + 21
5x = 4x + 24
x = 24
Plug in 24 for x in the expression represent angle A:
5(24) - 3
120 - 3
117
How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answer:
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀
Step-by-step explanation:
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
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⠀
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Dos puntos en matematicas
Answer:
eso no es una pregunta
Step-by-step explanation:
is -6 or -3 bigger please help fnfrififnrrfee
Answer:
-3
Step-by-step explanation:
-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps
Using the Pythagorean theorem: a right triangle has a side that is 24 in and one that is 25in (25 is the diagonal side) what is the length of the third side
Answer:
Third Side (Perpendicular side) = 7 inch
Step-by-step explanation:
Given:
First side (Base) = 24 inch
Second side (Diagonal/Hypotenuse side) = 25 inch
Find:
Third Side (Perpendicular side)
Computation:
Using Pythagorean theorem;
Perpendicular side = √Hypotenuse side² - Base²
Perpendicular side = √25² - 24²
Perpendicular side = √625 - 576
Perpendicular side = √49
Perpendicular side = 7 inch
Third Side (Perpendicular side) = 7 inch
A play was attended by 348 people,some adults and some children. Admissions for adults was $1.50 and for children 75 cents. The total amount collected was $390. How many adults attended the play?
Answer:
172
Step-by-step explanation:
Let adults be x
and children be y
According to the problem,
x + y = 348 . . . (1)
1.5x + 0.75y = $390. . . (2)
From Eq 1, find the value of x:
x = 348 - y
Put this value in Eq 2:
1.5 ( 348 - y ) + 0.75y = 390
522 - 1.5y + 0.75 y = 390
-1.5y + 0.75y = 390 - 522
-0.75y = -132
y= -132/-0.75
y = 176
Put the value of y in Eq 1
x + 176 = 348
x = 348 -1 176
x = 172
No. of children = 176
No. of adults = 172
help please my brain took an oof today
Answer:
I am god at this.
Step-by-step explanation:
3. How many solutions does the equation
2(x – 5) = 2x + 3 have?
A. O
C. 2
B. 1
D. infinitely many
This is my work: -10 does not equal 3, so therefore there is no solution
whats x value please help
Answer:Step-by-step explanation:
x+46=90
x=90-46
x=44°
Find all factors of the given number. (Enter your answers as a comma-separated list.)
200
Which polygon has an interior angle sum of 900°?
A polygon has 8 sides.
A polygon has 10 sides.
A polygon has 9 sides.
A polygon has 7 sides.
Answer:
A polygon that has 7 sides.
Step-by-step explanation:
S=(n-2)*180
n representing the sides
plug in each one into the formula and see which one = 900 degress.
Answer:
D
Step-by-step explanation:
becuz i said so
A chef has 8 potatoes that have a combined mass of 1,200 grams. He also has 12 carrots that have a combined mass of 1,620 grams. All potatoes are the same size. Likewise, all carrots are the same size. Which item has the greater mass? How much greater?
Answer:
potatoes, by 15 grams
Step-by-step explanation:
HELP ASAP!!
I will give brainliest if correct
Answer:
One of the angles is 42 degrees the other one is the same.
To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so
42 - 42 - 90 = 90
I believe this is the right answer my bad if its not
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
__
Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
after adding 45% to a number we get 507.5 what was the number?
Answer:
The number is x = 507.05
Step-by-step explanation:
Step(i):-
Let 'x ' be the number
Given that adding 45% to a number and we get 507.5
Now, it can be written as
x + 45% = 507.5
Step(ii):-
The equation
x + 0.45 = 507.5
subtracting '0.45' on both sides, we get
x = 507.5 - 0.45
x = 507.05
Final answer:-
The number is x = 507.05
what is the function value of f(5) if f(x)=3x-2
Answer:
13
Step-by-step explanation:
If you plug in 5 for x you get...
f(5)= 3(5) - 2
f(5)= 15 - 2
Therefore, f(5) = 13
Answer:
f(5)=13 <- really the right answer this time haha
Step-by-step explanation:
f(5)=3(5)-2
=15-2
=13
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
The length of each side of a square is 10 cm.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).
Given, The length and width of the rectangle are 13cm and 7 cm respectively.
Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.
So, The perimeter of the square is also 40 cm.
Therefore, The length of the side is 4×side = 40.
side = 40/4.
side = 10 cm.
learn more about squares here :
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Thousands of people are going to a Grateful dead concert in Pauley Pavillion at UCLA. They park their the foot cars on several of the long streets near the arena. There are no lines to tell the drivers where to park, so they park at random locations, and end up leaving spacings between the cars that are independent and uniform on .0; 10/. In the long run, what fraction of the street is covered with cars
This question is incomplete, the complete question is;
Thousands of people are going to a Grateful dead concert in Pauley Pavilion at UCLA. They park their 10 foot cars on several of the long streets near the arena. There are no lines to tell the drivers where to park, so they park at random locations, and end up leaving spacings between the cars that are independent and uniform on ( 0, 10 ). In the long run, what fraction of the street is covered with cars?.
Answer:
in the long run, the fraction of street that will be covered with cars is 0.6667
Step-by-step explanation:
given the data in the question;
the gaps between two cars follows uniformly ) 0, 10 )
therefore in the long run, average gap will be;
⇒ (0 + 10) / 2 = 10 / 2 = 5 feet
meaning that, in the long run a single car will occupy;
⇒ length of car + gap
⇒ 10 + 5 = 15 feet
∴ the fraction of road covered with cars will be;
⇒ length of car / space or length of road occupied by one car
⇒ 10 / 15
⇒ 0.6667
Therefore, in the long run, the fraction of street that will be covered with cars is 0.6667
Please no links I’ll pick brainliest
Which one is incorrect
Answer:
the graph because it should go down every 10 minutes not up.
Step-by-step explanation:
Andreas school has 20 clubs, which is 5 times as many as his cousins school. His cousins school has x clubs??
Answer:
4
Step-by-step explanation:
20 ÷ 5 = 4
how much does your dog weigh
Answer:
Shes a pitbull so shes at 100lb
Step-by-step explanation:
Also help me with this plz
1. List ten recommendations for exercise for individuals with the following chronic health conditions:
1. Arthritis
2. Asthma
3. Diabetes
4. Heart Disease Hypertension
5. Osteoporosis
6. Obesity
7. Pregnancy and postpartum( Please use the internet )
Answer:
my dog? that's a really good question.
Step-by-step explanation:
Well his 12 years old & he weighs like 120 & his truly healthy c:
A. x = 44 and y = 43
B. x = 43 and y = 44
C. x = y = 90
D. x = 89 and y = 91
Answer: correct answer choice is B
Step-by-step explanation:
did it on math nation
Multiply. 42.9 × 3.45
Answer:
42.9 x 3.45 = 148.005 exactly or 148 rounded
Answer:
Hi! The answer to your question is 148.005
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
What is a unique polygon?
