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:
https://brainly.com/question/2773823
#SPJ7
whats 25.28 in expanded form
How many quarters are there in 4
22?
2
134
Answer.
If m=7 and r = 12, what is the value of the following algebraic expression
4m + 7r-5
Evan purchased 6 boxes of sugar cookies, each box containing 10 snack bags and
each bag containing 12 cookies. Evan could have purchased the same amount of
cookies by buying how many family sized packs of 30 cookies each?
a. 12
b. 24
d. 72
C. 48
e. 180
Answer:
Doesn't make sense. There are 12 cookies in each box. 12 multiplied by 6 is 72 cookies. The snack bags don't count.
Step-by-step explanation:
A quiz consists of 570 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
Answer:
285
Step-by-step explanation:
570/2=285
true or false means theres a 1/2 possibility you guess right thats why you divide by 2
The mean number of correct answers to 570 true or false questions will be 285.
What is the expected value?In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
For the true or false, the probability of getting correct is given as,
p = 1/2
There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,
E = 570 x (1/2)
E = 285
The mean number of correct answers will be 285.
More about the expected value link is given below.
https://brainly.com/question/13945225
#SPJ2
HELP! WILL GIVE BRANLIEST!
Answer:
x=16 would be the angle measures.
The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.
Which expression represents the distance around the composite figure
A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx
Answer:
A) 6x + 2πx
Step-by-step explanation:
left side of figure = 4x
top and bottom flat portion of figure = 2x
2 semi-circles with radius of x is equal to 1 full circle with diameter = 2xπ
distance around = 4x + 2x + 2xπ or 6x + 2πx
The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.
Answer:
x= 8 y= 1
Step-by-step explanation:
First, you identify your variables:
x= larger number
y= smaller number
Second, you find your equations:
x - y = 7
2x + 3y = 19
Third, (I used the substitution method) you make "y" by itself for the 1st equation.
y = x - 7
2x + 3y = 19
Then, you plug in the 1st equation for "y" in the 2nd equation
2x + 3(x - 7) = 19
Then, you distribute and simplify.
2x + 3x - 21 = 19
5x - 21 = 19
5x = 40
x = 8
Finally, you plug in the variable you found ( x ) into one of the equations and solve,
8 - y = 7
- y = -1
y = 1
help meeeeeeeeeeeeewweeeeew
Answer:
Homer is correct. ( also your teacher is pretty cool to have them on an assignment)
Step-by-step explanation:
2 negatives cancel eachother out. Negative 4 times negative 10 equals 40.
The table represents equivalent ratios of x to y. Find the missing numbers in the table.
Х
y
15
20
16
25
o
30
24
Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
Susannah is buying lunch for her friends at a restaurant. The bill is $50, and she wants to
leave an 18% tip.
Answer:
she tips $9
Step-by-step explanation:
Ive been asking too many questions but Im really dmb so heres another one
Answer:
12(6)/2
B: 36
Step-by-step explanation:
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
An event manager recorded the number of people in different age groups that attended a music concert.
A histogram titled Concert Audience is shown. The horizontal axis is labeled Age Group in years with bins 18 to 24, 25 to 31, 32 to 38, and 39 to 45. The vertical axis labeled Number of People with values from 0 to 120 at intervals of 20. The first bin goes to 20, the second goes to 40, the third goes to 120, and the last goes to 80.
Which data table accurately represents the data in the histogram? (5 points)
Age Group Number of People
18−24 80
25−31 120
32−38 40
39−45 20
Age Group Number of People
18−24 20
25−31 60
32−38 180
39−45 260
Age Group Number of People
18−24 260
25−31 180
32−38 60
39−45 20
Age Group Number of People
18−24 20
25−31 40
32−38 120
39−45 80
The data table that accurately represents the histogram is the last table since the information matches the one in the histogram.
How to identify the correct data table?Understand the histogram and in this case the number of people in each category. For example, from 18 to 24, there are 20 people.Compare the information to the data tablesChoose the one that matches.What is the correct data table?The correct option is the last one or:
Age Group Number of People
18−24 2025−31 4032−38 12039−45 80Because only in this one does the data match the one in the histogram.
Learn morea bout histogram in: https://brainly.com/question/16819077
#SPJ1
Please help this is Geometry
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
Need help guys givin brainliest
fyi its tall not fall
Answer:
5 feet tall.
Step-by-step explanation:
So, it gives us the ratio of the Statue of Liberty
1 inch wide for each 61 feet tall.
Then it gives us the tallness of the actual thing:
305 feet tall.
To find out how wide it is, we should be able to divide 305 by 61.
305/61 is 5.
Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his problems. Sanjay finishes 5 out of 7 of his problems. Who finishes a greater fraction of his problems in time?
Joseph or Sanjay?
Can a polygon have four sides and three angles
No a polygon only has 3 sides and 3 angles.
What is the value of n??
9514 1404 393
Answer:
73.6°
Step-by-step explanation:
The whole is the sum of the parts:
n = 44.5° +29.1°
n = 73.6°
Answer and Step-by-step explanation:
To find the value of n, we must add the two given angles first.
Why?
We add these two angles together because we are shown that angle n encompasses both angles, meaning that the value of n must be the combination of the angles added together.
29.1 + 44.5 = n
Add.
73.6° = n
The value of n is 73.6°.
#teamtrees #PAW (Plant And Water)
help please will give brainest.
Hi, you didn't add any picture or attached the info
can anyone help me with this?
Answer:
First Blank (4) Second Blank (3)
Step-by-step explanation:
The square in the middle is the base and if you count the side units you will have 4 on each side. From the square the triangle points up 3 units on the graph.
Hope this helps : ) Mark Brainliest
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answer:
The Answer is C
Step-by-step explanation:
Find the value of x in the triangle shown below x 42 106
Answer:
Step-by-step explanation:
where is the picture?
Answer:
you need a picture lol
Step-by-step explanation:
The area of a SQUARE is 22 ft2. Which of the following is the closest to
the length of each SIDE of the square?
Answer:
4.7ft
Step-by-step explanation:
Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.
the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
An event that is guaranteed to happen has a probability of exactly
Answer:
100%
Step-by-step explanation:
It is confirmed to happen, or [tex]\frac{100}{100}[/tex]
Answer:
An event that is guaranteed to happen has a probability of exactly 1
HELP ME DUE IN 2 HRS!
Greg Biffle won the Samsung/Radio Shack 500 NASCAR race at the Texas Motor Speedway in April 2005. His average speed was 130 miles per hour. How many feet per second is this? Round to the nearest hundredth.
Answer:
190.67 ft/sec
Step-by-step explanation:
130 mi/hr x 5280 ft/mi x 1/60 hr/min x 1/60 min/sec = 190.67 ft/sec
It makes more sense if you write these as fractions and cancel units.
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
b. 869.6 ft²
Step-by-step explanation:
The figure is composed of an equilateral triangle and a trapezoid
Therefore,
Area of the figure = area of the triangle + area of the trapezoid
✔️Area of triangle = ½*a*b*Sin C
Where
a = 22 ft
b = 22 ft
C = 60° (mall angles of an equilateral triangle measures 60°)
Area = ½*22*22*Sin 60°
Area = 209.58 ft²
✔️Area of trapezoid = ½(a + b)h
a = 22 ft
b = 38 ft
h = 22 ft
Area = ½(22 + 38)22
Area = ½(60)22
Area = 960 ft²
✔️Area of the figure = 209.58 + 660 = 869.58 ≈ 869.6 ft²
Find the product? y ^4 · y ^3
Answer:
if it will help
y^7
Step-by-step explanation:
y^4+3 = y^7