The proof of DE is parallel to BC in the given triangle is shown.
What is defined as the parallel line?Parallel lines are defined as two lines that remain the same distance away and never intersect. To be parallel, two lines must be driven in the same plane, which is a perfectly flat surface such as a wall or sheet of paper.As per the given data in the question;
A, B and C are the vertices of a triangle.
A has coordinates (4, 6)B has coordinates (2,-2)C has coordinates (-2,-4)Whereas,
D lies at the midpoint of AB.
E lies at the midpoint of AC.
The mid piont formula is;
Mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)
The coordinates of D is found by the mid point formula of coordinates.
Put the coordinates of A (4, 6) and B (2,-2).
D = (4 + 2 / 2, 6 - 2 / 2)
D = (3, 2)
The coordinates of E is found by the mid point formula of coordinates.
Put the coordinates of A (4, 6) and C (-2,-4)
E = (4 - 2 / 2, 6 - 4 / 2)
E = (1, 1)
Now, the slope is calculated by;
m of DE = (y₂ - y₁)/(x₂ - x₁)
The slope of E is
m of DE = (1 - 2)/(1 - 3) = 1/3
Slope of BC
M of BC = (-4 + 2)/(-4 - 2)
M of BC = 1/2
As, the slope of both line DE and BC are equal. Thus, both line are parallel to each other.
To know more about the parallel line, here
https://brainly.com/question/17117031
#SPJ9
Im dum i really need help
Answer:
T' = (-4, 0)
S' = (-4 , -10)
U' = (3 , 0)
V' = (3, -10)
Step-by-step explanation:
The solution set of |2x − 2| > 2 is the set of all x-values where the graph y = |2x − 2| ? the line y = 2.
a.)is above
B.)is below
c.)intersects
d.) does not intersect
!100! POINTS!!!!!!
Answer:
a.)
Step-by-step explanation:
|2x - 2| > 2 (greater than 2)
the dilution set is the set of all x values, for which this inequality is true.
and that means
|2x - 2| has to have greater value than the value 2, which is represented by the constant, horizontal line y = 2.
the y values are aligned with the y-axis, which goes up and down. the higher up, the larger the y value.
so, only the values of |2x - 2| higher than 2 keep the inequality true.
so, a.) is the right answer. it is above the line.
b.) below would mean "< 2".
c.) intersects would mean "= 2".
d.) does not intersect would mean "<> 2".
please consider, the intersection points with the line are NOT included, because we have "> 2".
if we had to include the intersection points, it would have to be ">= 2".
The wavelength of ultraviolet light is about 0.00000003 inches. Which number best approximates this length as a power of 10?
A. 3 × 10–9
B. 3 × 107
C. 3 × 10–8
D. 3 × 10-7
if f(x) = 6x - 4, what is f(x) when x = 8?
Answer:
Step-by-step explanation: 44.
f(x)=6x-4
x=8
f(8)=6(8)-4
f(8)= 48-4
f(8)=44
The graph shows the height of a football after being thrown. Use the graph to estimate the x- and y-intercepts of the function, where the function is positive and negative, and interpret the meanings in the context of the situation.
From the graphed function, it is found that:
The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.The function is always positive, which means that the ball is in the air for 6 seconds.The graph shows that the function is never negative.What are the intercepts of a function f(x)?The x-intercept of a function f(x) is the value of x when the f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function f(x) is the value of y when the x = 0, that is, the value of y when the function crosses the y-axis.From this graph, it is found that:
The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.Hence:
The function is always positive, which means that the ball is in the air for 6 seconds.The graph shows that the function is never negative.More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
I NEED HELP ASAP!!!
Which of the following expressions represents “the difference between a number and eleven”?
11 – n
-11 n
n + 11
n – 11
All of the following represent the same concept except _____.
a number minus five
five more than a number
the sum of a number and five
a number increased by five
thank you!!
The difference between a number (n) and eleven is written as;
⇒ 11 - n
The exception statement is;
''a number minus five''
What is Number system?
A system of writing to express the number is called number system.
Now, Let a number is 'n'
Then, The difference between a number (n) and eleven is,
11 - n
And, Find the mathematical expression of all the statement as;
Let x is a number.
1. a number minus five = x - 5
2. five more than a number = x + 5
3. the sum of a number and five = x + 5
4. a number increased by five = x + 5
So, Clearly the exception statement is;
''a number minus five''
Therefore, The difference between a number (n) and eleven is written as;
⇒ 11 - n
The exception statement is;
''a number minus five''
Learn more about the number system visit:
https://brainly.com/question/13088605
#SPJ1
In the following figure, BA≅CA, and D is on BC
If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.
What is the missing length of the triangle?
We are given a triangle with the condition that BA ≅ CA. This means that side BA has a length equal to that of side CA.
Now, an Isosceles triangle is defined as a triangle that has at least two sides of equal length. This means that the given triangle ABC is an Isosceles triangle.
Now, since Triangle ABC is an Isosceles triangle, it means that when we draw a perpendicular line through the point joining the two equal sides, it bisects the third side of the triangle.
Thus, it means that BD is congruent to CD.
If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.
Read more about Length of triangle at; https://brainly.com/question/2217700
#SPJ1
Convert 1/27 to a decimal. Write the decimal using an ellipsis, then write the decimal using an overbar
1/27 to a decimal is .0370
Given,
1/27
Divide 1 by 27 so we get
.0370
Decimal, Integers or whole numbers are numbers to the left of the decimal point, while decimal numbers are numbers to the right of the decimal point. It is critical to understand place value when comparing decimals, doing operations on decimals, and so on. This is how a decimal number's place value chart appears. Chart of Place Values
In the case of decimals, the place value system for the whole number component is the same as the full number. However, following the decimal point, a new realm of numbers emerges in which we employ decimal fractions.
To learn more about Decimal from the given link:
https://brainly.com/question/548650
#SPJ9
Answer:
yes
Step-by-step explanation:
so yea
What is the height, h, of the rectangular prism shown below?
Round your answer to the nearest tenth.
The height (h) of this rectangular prism is equal to 3 units.
What is Pythagorean theorem?Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
How to determine the height (h) of this rectangular prism?In order to determine the height (h) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:
d² = l² + b²
d² = 4² + 3²
d² = 16 + 9
d² = 25
d = √25
d = 5 units.
Therefore, the diagonal of the base of this rectangular prism is equal to 5 units.
Now, we can determine the height (h) of this rectangular prism:
x² = d² + h²
h² = √34² - 5²
h² = 34 - 25
h² = 9
h = √9
Height, h = 3 units.
Therefore, the height (h) of this rectangular prism is equal to 3 units.
Read more on height of a rectangular prism here: https://brainly.com/question/13019376
#SPJ1
23% of a snack mix is almonds. How much snack mix would you need to get 230 g of almonds?
Answer:
23 times 10 is
230 so your answer is 2 times 10
MARKING BRAINLEIST AND 100 POINTS JUST PLS EXPLAIN HOW TO SOLVE!!
What is the length of segment AB when A(-2,2) and
B(5,2)?
Answer:
7
Step-by-step explanation:
You have to do the square root of: (5-(-2)) squared pluse (2-2) squared
Now you have the square root of 7 squared
7 squared is 49, so you have the square root of 49
that equals 7
*Don't forget to mark brainliest
y = – 3
y = x – 0.8
A coordinate grid with 2 lines. The first line passes through the points (0, negative 0.1) and (0.8, 0). The second line is horizontal passes through the point (0, negative 3). The lines intersect at a point with a coordinate of slightly to the left of negative 2 and negative 3.
What is the best approximation for the solution to this system of equations?
(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)
The best approximation for the solution to the system of equation is option C) (-2.2 , -3)
According to the question we have been given two system of linear equation which are:
y = -3 (1)
and y = x - 0.8 (2)
Now solving these two equation and find the value of x
Substituting the value of y from equation (1) to the equation (2) we get
-3 = x - 0.8
-3 + 0.8 = x
x = -2.2
Thus the best approximation for the solution to the system of equation is option C) (-2.2 , -3)
Learn more about solution to equation here : https://brainly.com/question/13729904
#SPJ9
Can someone please help
And explain why correct
If your gonna be immature just go on with your day
Answer:
AD
Step-by-step explanation:
It is the only segment that meets a side of triangle ABC at a right angle.
I NEED HELP MARKING BRAINLIEST
Answer:
15/36
Step-by-step explanation:
Multiply the top and bottom factors together, i.e.,
3 x 5
4 x 9
this ends up with the answer 15/36.
Answer:
5/12 = 0.416666667
Factor:
5/2^2.3 = 0.416666667
A 3-quart container of disinfectant costs $13.56. What is the price per cup?
Answer: The answer is $1.13.
Step-by-step explanation:
There are 12 cups inside a 3-quart container.
A local construction company has been asked to increase the pitch of a client’s roof so that it is steeper. Currently, the roof is pitched at about 30%. In other words, the roof rises 6 feet for every 20 feet of horizontal distance. The pitch of the roof would increase if the roof rose:
Answer:
more than 6 feet for 20 feet horizontal
Step-by-step explanation:
Increasing the rise increases the pitch
SOMEONE PLEASE HELPPPP MEEEEEEE
Answer:
Step-by-step explanation:
h
Answer: Corresponding Angles
Step-by-step explanation:
help meeeeeeeeeeeee.
Answer:
4:1, 20:5
Step-by-step explanation:
You can determine if a ratio is equivalent by dividing each term with the respective term in the other ratio. If you come out with 1, the ratios are equivalent.
Answer:
4:1 & 20:5
Step-by-step explanation:
These two ratios are equal and true to 12:3!
Hopefully this helps have a great day! :D
Suppose you know the measures of all three angles of a triangle. Can you use the Law of Sines to find the lengths of the sides? Explain.
Answer:
No
Step-by-step explanation:
Without any side lengths, the most three angles can determine is similarity, not congruency. This means you can determine the ratio of the lengths of the sides, but not any of the sides individually.
For each pair of functions, find f(g(x)) and g(f(x)) .
f(x)=x-3/2, g(x)=2 x-3
A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.
The value of f(g(x)) = (2x-6)/2 and g(f(x)) = x - 6.
What is meant by composition function?In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.
Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.
Let the given functions be f(x) = x-3/2 and g(x) = 2x - 3
f(g(x)) = f(2x-3)
simplifying the above equation, we get
f(g(x)) = f(2x-3) = ((2x-3) - 3)/2
f(g(x)) = f(2x-3) = (2x-6)/2
f(g(x)) = (2x-6)/2
g(f(x)) = g(x-3/2)
simplifying the above equation, we get
g(f(x)) = g(x-3/2) = 2((x-3)/2) - 3
g(f(x)) = g(x-3/2) = x - 6
g(f(x)) = x - 6
Therefore, the value of f(g(x)) = (2x-6)/2 and g(f(x)) = x - 6.
To learn more about composition function refer to:
brainly.com/question/10687170
#SPJ4
9square rooted x 3square rooted x 2square rooted as single surd
Answer: [tex]3\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\sqrt{54}[/tex]
= [tex]3\sqrt{6}[/tex]
Please help me out please please please
Answer:
I think the first
Step-by-step explanation:
A customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area
that is 6 feet on a side. If one box of pavers covers 5.28 square feet, what is the minimum number of boxes of pavers
the customer should buy?
07
10
O 11
O 16
A customer should buy minimum 16 boxes of pavers.
In this question, a customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area that is 6 feet on a side.
First we find the total area that will be covered by pavers.
Area of rectangle = length × width
Area of rectangle = 15 × 3
Area of rectangle = 45
And the area of square = side²
area of square = 6²
area of square = 36
So, the total area would be,
Total area = area of rectangle + area of square
Total area = 45 + 36
Total area = 81
So, the total area is 81 square feet.
one box of pavers covers 5.28 square feet.
So using unitary method,
81 / 5.28
= 15.534
≈ 16 boxes
This means, approximately 16 boxes will require to cover the above area.
Therefore, the customer should buy minimum 16 boxes of pavers.
Learn more about the Unitary method here:
https://brainly.com/question/22056199
#SPJ1
f(x)=b x and g(x)=logbx are inverse functions. Explain why each of the following is true.
a. The translation f₁(x)=b x-h of f is equivalent to a vertical stretch or compression of f .
The function f₁(x) can be either vertical stretch or vertical compress: TRUE
What do we mean by Logarithmic Function?The following is the formula for basic logarithmic functions: Where b > 0, f(x) = logbx(r), y = logbx.It is the reciprocal of the exponential function x=b∧y.Log functions are denoted by natural logarithm (ln) and common logarithm (log).Here are a few examples of logarithmic functions:
f(x) = ln (x - 2)g(x) = log2(x + 5)-2h(x) = 2 log x, etc.So,
Given function:
f(x) = bˣg(x) = logbxThen,
f₁(x)=b^(x-h)f₁(x)=b^x/b^hNow, Put bˣ=f(x):
f₁(x)=f(x)/b^hf₁(x)=b^(-h)f(x)f₁(x)=c f(x)We discovered that:
c=b^(-h)So, depending on the values of b and h, c can be greater than or less than one.
Therefore, the statement "the function f₁(x) can be either vertical stretch or vertical compress" is TRUE.
Know more about Logarithmic Function here:
https://brainly.com/question/13473114
#SPJ4
m∠W=73°. Find the measure of the complement of ∠W.
115°
15°
17°
107°
The measure of the angle that complements m∠W is 17°. Option C
What are complementary angles?Complementary angles are defined as angles that sum up to 90 degrees.
They are also called angles at right angle.
Example:
If x and y are termed complementary angles, then
x + y = 90°
From the information given, we have that;
m∠W is complementary to another unknown angle x
This is represented as;
x + m∠W = 90°
But m∠W = 73°
Substitute the value into the equation
x + 73° = 90°
collect like terms
x = 90 - 73
x = 17°
Thus, the measure of the angle that complements m∠W is 17°. Option C
Learn more about complementary angles here:
https://brainly.com/question/16281260
#SPJ1
Decide whether the following statements are always, sometimes, or never true.If n is a real number, then 0n=0 .
The following statement that if n is a real number, then 0n = 0 is always true.
The given question states that we have to determine whether the given statement is always true or sometimes true or never true.
The statement given in this question is that if n is a real number, then 0 n = 0.
To solve this question, it us important that we are familiar with real numbers.
Real numbers comprise of both rational numbers as well as irrational numbers. Rational numbers include natural number, whole numbers, fractions, etc. while irrational numbers consist of recurring decimal numbers such as √3, pi, etc.
We know that any real number multiplied with 0 will always return 0 as the answer.
Hence, we can say that the statement that if n is a real number, then 0 n = 0 is always true.
Therefore, we get the following statement that if n is a real number, then 0n = 0 as always true.
Learn more about Real Numbers here:
https://brainly.com/question/551408?referrer=searchResults
#SPJ9
Choose the numbers that are equivalent to 2 7/9.
The equivalent fractions here are: 14/18 , 21/27 , 28/36 , 35/45 , 42/54.
Given, the number 7/9
7/9 = (7/9 × 2/2) = 14/18
7/9 = (7/9 × 3/3) = 21/27
7/9 = (7/9 × 4/4) = 28/36
7/9 = (7/9 × 5/5) = 35/45
7/9 = (7/9 × 6/6) = 42/54
hence the equivalent fractions here are:
14/18 , 21/27 , 28/36 , 35/45 , 42/54
Equivalent fractions are those fractions that reflect the same value even if they may have distinct numerators and denominators. For instance, the fractions 9/12 and 6/8 are comparable as both, when simplified, equal 3/4.
When reduced to their most basic form, all equivalent fractions become the same fraction.
Learn more about Fractions here:
brainly.com/question/2328150
#SPJ9
help me please !!!!!!!!!!!!!!!!!!!!!!!11
Answer:
Step-by-step explanation:
f. 20.5-13.71= 6.79
g. 71.23-36.57-17.89= 16.77
h. 50.147-19.05-7.61= 23.487
i. 92.38-57.25-16.3= 18.83
j. 44.08-17.9-9.06= 17.12
A florist is arranging a bouquet of daisies and tulips. He wants twice as many daisies as tulips in the bouquet. If the bouquet contains 24 flowers, how many daisies are in the bouquet?
(A) 8 daisies (B) 12 daisies (C) 16 daisies (D) 24 daisies
The correct option is (c) 16 daisies
If the bouquet contains 24 flowers then total 16 daisies are in the bouquet.
What are polynomial functions ?In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. All the equations such as quadratic equation, cubic equation which has non negative number as their powers are part of polynomial equation.
Some examples of polynomial equation are :
2x+53x = 93x² + 5x+19(x-3)³Now, for the given question,
let d = number of daisies
t = number of tulips
according to statement polynomial equation is,
d + t = 24 , say equation (i)
Twice as many daisies as tulips:
d=2t
Put the value of d in equation (i)
2t + t = 24
3t = 24
t = 8
As, number of daisies = 2 (number of tulips)
Therefore, d = 2t = 2 (8) = 16
Thus, total 16 daisies are in the bouquet.
To know more about polynomial functions, visit:
brainly.com/question/17822016
#SPJ4
PLEASE HELP ME ASAP
Answer:
x≤−9/2 or x>7/4
Step-by-step explanation: