Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?
An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.
Question options:
2 units
6 units
12 units
4 units
Answers
Answer:
DE = 12
Step-by-step explanation:
Consider Δ ABC
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
D and E are the midpoints of 2 sides of the triangle, then
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12
Related Questions
Describe the solution set for the equation below.
−29+5x=5(x−5)
One Solution
One Solution
No Solution
No Solution
Infinitely Many Solutions
Answers
80 people exercise in the morning at Planet Fitness. 100 people
exerflncise in the afternoon. What is the percent of increase in the
number of people exercising at Planet Fitness in the afternoon?
Answers
Answer: it has a 20% increase
Help please. I dont know how to do this :((
Answers
Answer:
You need the distance of all four sides so that is:
2 * (5y +1) + 2 * (2y -3) which equals
10y + 2 + 4y -6 and that equals
14y -4
Step-by-step explanation:
is it 3 pls help for brainly
Answers
Answer:
Step-by-step explanation:
First, let’s flip the first term.
2^-x = 8^2-x
we can take ^3 out of the 8 to simplify
2^-x = 2^3(2-x)
-x = 3(2-x)
Now we solve for x.
x = 6
Hope this helps!
what is the least common denominator of 10 and 14
Answers
Answer:
70
Step-by-step explanation:
Given -
the least common denominator of 10 and 14 is - *70*
Prime factor of 14 are 2 and 7
14 = 2 * 7
Prime factor of 10 are 2 * 5
10 = 2 * 5
Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10
LCM (10,14) = 2 * 5 * 7
LCM (10,14) = 70
help ita due in 5 mins
Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.
1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.
2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.
3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.
Which transformation(s) produce an image that is congruent to the given figure?
Number 1 only
Number 1 only
Numbers 1 and 2
Numbers 1 and 2
Numbers 2 and 3
Numbers 2 and 3
Numbers 1, 2, and 3
Numbers 1, 2, and 3
Answers
A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
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Write 110 as a product of primes
Answers
Answer:
The prime factorization of 110 is: 2 x 5 x 11.
Simplify and leave your answer in index form
Answers
Answer:8a^7
Step-by-step explanation:
Answer:
8a⁷ is the simplified form of 4a² x 2a⁵.Step-by-step explanation:
4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷Conclusion:
Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
Step-by-step explanation:
HELP ME PLEASEEEE I NEED ITT !
Answers
Answer:
p=12
Step-by-step explanation:
a=l×b
a=219.6
l=18.3
b=?
219.6=18.3×b
Divide both sides by 18.3
And therefore b=12 yards
Find the greatest common factor of 15c and 8c2.
Answers
NEED ANSWER QUICKLY PLEASE
Answers
3x - 11 + 44 + 4x - 7 = 180 like terms
7x +26 = 180
7x = 154
X = 22
Angle 1
3(22) -11
55
Angle 2
4(22) -7
81
So the largest angle is 81 degrees!
Hope this helps!
Brainliest is much appreciated!
Which set of ordered pairs represents a constant rate of change?
A) (0,1) (1,2) (2,4) (3,6)
B) (0, 1) (1.2) (2,2) (3,2)
C) (0, 2) (1,4) (2,6) (3, 8)
D) (0, 2) (1,2) (2, 4) (3,8)
Answers
Answer:
Not a because it is only consistant with x not y because it goes 1 2 4 then 6
not b because only consistant with x not y because it goes 1 2 2 2
It is c because it goes 2 4 6 and 8 which is a consistent rate of two.
Step-by-step explanation:
Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answers
Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
her shadow is 23.05 - 18.9 = 4.15 m long.
the factor between the shadow lengths is then
4.15 × f = 23.05
f = 23.05 / 4.15 = 5.554216867...
the same factor now applies to the relation of the heights :
1.45 × 5.554216867... = 8.053614458... m
rounded the tree is 8.05 m tall.
Help please I’ll give the highest point ! :)))) tysm I need it done by 10:20
Answers
Answer:
hope it helps you.........
Answer:
10/14 - 7/14 = 3/14 :D
Step-by-step explanation:
you have to find the common denominator, in this case its 14. then, whatever number you multiplied the denominator by, you have to multiply the numerator by. so, 5/7x2= 10/14, and 1/2x7 = 7/14, then its just 10-7 which equals 3
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answers
Answer:
The answer is 72%
Step-by-step explanation:
[tex]\frac{54}{75} = 72[/tex]
54 out of 75 is a percentage of 72%.
Mark me brainliest if possible, it's always appreciated!
Hope this helps!
Have a great day/night/afternoon!
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The percentage of the goal did he achieve will be 72%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.
The percentage of the goal did he achieve will be calculated as,
P = (54 / 75) x 100
P = 0.72 x 100
P = 72%
The percentage of the goal did he achieve will be 72%.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
Answers
The easiest way to find the solutions is to graph the equations then observe the coordinate intersections of each graph :)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: https://brainly.com/question/16863577
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?
Answers
Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ftSet of ordered pairs: Is it a function? (yes no ) Why or why not? (0,3),(-1,4),(2,4),(0,8),(5,7)
Answers
Answer:
No
Step-by-step explanation:
A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x
OK LOLOLOL HOW DO I SHOW MY WORK
Answers
Answer:
Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*
Step-by-step explanation:
Lets use the elimination method which is ...
4x-3y=5
2x+7y=-8
Multiply the bottom part by -2
(-2)2x+(-2)7y=(-2)-8
which equals...
-4x-14y=16
Rewrite the equations
4x-3y=5
-4x-14y=16
Add and the x's cancel making..
-17y=21
Divide by -17 to isolate y
y=-1.23529411765
Replace y with -1.23529411765 on one of the equations
4x-3(-1.23529411765) =5
x=0.323529411763
solution : (0.323529411763, -1.23529411765)
The sum of two numbers is 80
their difference is 38.
The product of these 2 numbers is __?
Answers
hope this helps
HELP ASAP PLEASE?!
The graph at the right shows Jeremy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
A) 350 miles
B) 400 miles
C) 500 miles
D) 550 miles
Answers
Answer:
The answer is (C) because every time the hour goes up, the mile goes up by 5 so if you continue to count up by 5's you would get 500 at 10.
please help due soon
Answers
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
Just trust
Will give brainliest and 100 points if you answer correctly plz help!
Write the sentence below as an equation or inequality.
Craig has six less than half of the amount of dollars Bo has.
Group of answer choices
x
=
y
2
−
6
x
=
6
−
y
2
x
=
2
y
−
6
x
=
6
−
2
y
Flag question: Question 2
Question 21 pts
Write the sentence below as an equation or inequality.
To be flagged in a system you need to either score less than ten points, or greater than one hundred points.
Group of answer choices
10
<
x
<
100
10
≤
x
≤
100
10
≥
x
≥
100
10
>
x
>
100
Flag question: Question 3
Question 31 pts
Simplify:
−
5
x
3
+
6
y
2
+
8
x
3
−
6
y
Group of answer choices
3
x
3
+
6
y
2
−
6
y
−
3
x
3
+
6
y
2
−
6
y
11
x
3
+
6
y
2
−
6
y
−
11
x
3
+
6
y
2
−
6
y
Flag question: Question 4
Question 41 pts
Simplify:
3
x
5
+
4
x
2
−
8
x
5
+
3
x
2
−
8
x
Group of answer choices
5
x
5
+
7
x
2
−
8
x
−
5
x
5
+
7
x
2
−
8
x
5
x
5
−
7
x
2
−
8
x
−
11
x
5
+
7
x
2
−
8
x
Flag question: Question 5
Question 51 pts
Solve:
8
x
+
2
(
3
x
−
5
)
=
18
Group of answer choices
x = -2
x = -1
x = 1
x = 2
Flag question: Question 6
Question 61 pts
Solve:
(
4
x
+
5
)
5
=
9
Group of answer choices
x = -10
x = -5
x = 5
x =10
Flag question: Question 7
Question 71 pts
Write the inequality that represents the solution set to the given inequality below.
−
8
≥
x
−
2
≥
10
Group of answer choices
4
≤
x
≤
−
5
−
4
≤
x
≤
5
4
≥
x
≥
−
5
−
4
≥
x
≥
5
Flag question: Question 8
Question 81 pts
Write the inequality that represents the solution set to the given inequality below.
|
x
−
3
|
<
15
Group of answer choices
12
<
x
<
−
18
−
12
<
x
<
18
12
>
x
>
−
18
−
12
>
x
>
18
Flag question: Question 9
Question 91 pts
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Flag question: Question 10
Question 101 pts
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Answers
Answer:
Step-by-step explanation:
The answer options are too confusing to decipher. Here are my solutions:
1. Craig(x) has six less than half of the amount of dollars Bo(y) has.
x = (1/2)y - 6
Questions 2 through 8 are either missing the statement or are too difficult to interpret.
9. Not a function since there is more than one solution to x=-3.
10. Yes, the function is y = 1
Answer:
Step-by-step explanation:
this makes no sense but okay
What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2?
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 2 ) into the partial equation
- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1
y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line
Answer:
y=-1/2x-1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-2)
y+2=-1/2(x-2)
y=-1/2x+2/2-2
y=-1/2x+1-2
y=-1/2x-1
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
Answers
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.
Answers
Answer:
Step-by-step explanation:
Slope is defined as the "Rise" over the "Run" of a straight line. The Rise is the change in y, and the Run is the change in x. For the given points:
(5,6) and (5,9) the Rise and Run are (going from left to right).
Rise (9-6) = 3
Run = (5-5) = 0
The slope is 3/0, which is undefined (can't divide by zero).
how do I write an equation of a line that is parallel to 2x-3y=15
Answers
=> 3y = 2x + 15
=> y = 2/3 x + 5
These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.
So in this case, gradient is 2/3 (or 2 units up, and 3 units across).
And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:
y = 2/3 x + n
where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.
For example, y = 2/3 x + 2
whats 8 to the power of 6 please
Answers
Answer:
262144
Step-by-step explanation:
Hope I was able to help you with your question , have a great day :)
Answer:
Step-by-step explanation:
I think 8 to the power of 6 Is 262144
Given the set of domain D = {-3, -2, -1, 0, 1, 2, 3}
Construct /Do the following:
1. Set of ordered pairs such that the range is one less than the domain.
2. Construct table of values such that the range is 2 more than the domain.
3. Write the equation for numbers 1 and 2.
4. Graph numbers 1 and 2 on separate coordinate plane.
Answers
Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}
1) If the set of range is one less than the domain, the required range will be:
Range = {-4, -3, -2, -1, 0, 1, 2}
2) If the set of range is 2 more than the domain, the required range will be:
Range = {-1, 0, 1, 2, 3, 4, 5}
The table of values is given as:
x y
-3 | -1
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
3 | 5
2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)
The equation in slope-intercept form is given as y = mx + b
m = 0-(-1)/1-0
m = 1/1 = 1
Since the y-intercept is at (0, -1), hence b = -1
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + (-1)
y = x - 1
Hence the equation 1 will be y = x - 1
For equation 2, we will use the coordinate points (-1, 1) and (0, 2)
The equation in slope-intercept form is given as y = mx + b
m = 2-1/0-(-1)
m = 1/1 = 1
Since the y-intercept is at (0, 2), hence b = 2
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + 2
y = x + 2
Hence the equation 2 will be y = x + 2
4) The graph of each equation on a different coordinate plane is attached.
Learn more on graphs and functions here: https://brainly.com/question/11740855
