Answers
Answer:
CF = 16
Step-by-step explanation:
BCDE is a parallelogram. CE and BD are its diagonals.
Diagonals of a parallelogram bisects each other.
[tex]
\therefore \: CF = \frac{1}{2} \times CE\\\\
\therefore \: CF = \frac{1}{\cancel 2} \times \cancel {32 } \:\:\:\:\purple{\bold {16}} \\\\
\therefore \: CF = 16 [/tex]
Related Questions
For the equation y = 2.5X, choose which ordered pairs would be on the line if it was graphed? Select ALL that apply.
(0, 0) and (-4, -10)
(1, 3.5) and (2, 5)
(1, 2.5) and (3, 6.5)
(-1, -2.5)
(0. 0) and (2, 5)
(3, 7.5) and (-3, -7.5)
Answers
Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
£3591
Step-by-step explanation:
Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.
The formula for Depreciation rate =
P = Po × e^-rt
P = Amount after depreciation
Po = Initial amount = £ 3600
r = depreciation rate = 5% = 0.05
t = time in years = 2
Hence:
P = £3600 × e ^ -0.05 × 2
P =£ 3600 × e-0.0025
P = £ 3591.0112406
Approximately = £3591
Jasper and Corey have saved up a total of $78.00. Jasper has saved 6 dollars more than twice as much as
Corey. How much has Corey saved?
Answers
Answer:
24
Step-by-step explanation:
Corey has saved an amount of 24 dollars, if they have saved up a total of $78.00.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that Corey has saved an amount of x dollars.
Given that Jasper and Corey have saved up a total of $78.00.
Jasper has saved 6 dollars more than twice as much as
Corey.
As per the given condition, the algebraic form is:
(6 + 2x) + x = 78.
Rearrange the terms of variables of x in the above equation,
6 + 2x + x = 78
Apply the addition operation,
6 + 3x = 78
Subtract 6 from both sides in the equation,
3x = 72
Now divide both sides by 3 in the equation,
x = 24
Therefore, Corey has saved an amount of 24 dollars.
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Please help I have searched this question and have not found it. I am bad at math and I'm taking a test and need answers so please help me
Juanita has completed typing 6 pages of her term paper. If her term paper is 18 pages long, how many more pages does she have to type?
A. 3 pages
B. 11 pages
C. 12 pages
D. 14 pages
Please select the best answer from the choices provided
Answers
Answer:
C because 18-6=12
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
all you do is subtract lol
Find the equation of the line that contains the point (-5,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form,if possible.
Answers
Answer:
y = -5x/6 - 33/6
Step-by-step explanation:
The standard form of equation of a line in point slope form is y - y0 = m(x - x0)
m is the slope
(x0, y0) is the point on the line
First we need the slope of the given equation 5x+6y=11.
Rewrite in standard form;
5x+6y=11
6y = -5x + 11
y = -5/6 x + 11/6
Hence the slope is -5/6
Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6
Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;
y - y0 = m(x - x0)
y - (-3) = -5/6 (x - (-5))
y + 3 = -5/6(x+3)
6(y+3) = -5(x+3)
6y+18 = -5x - 15
6y+5x =-15 -18
6y+5x =-33
Express in slope intercept form
6y = -5x - 33
y = -5x/6 - 33/6
Which ordered pair represents the translation of R to S?
Answers
What is the graph of the function rule y=1/3x−1
Answers
the y-intercept is -1 so it will go through-1 on the y-axis.
the slope is 1/3 so rise or run
Find the unknown side length of the rectangle is 3 2/3 and if the area is 11m2
Answers
Answer:
The width of the rectangle given is equal to 3m.
Step-by-step explanation:
In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....
[tex]A_{rectangle} = (l)(w)[/tex]
[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]
[tex]w = \frac{A_{rectangle} }{l}[/tex]
Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........
[tex]w = \frac{A_{rectangle} }{l}[/tex]
[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]
[tex]w = 3m[/tex]
Please help me out!!!!!
Answers
Answer:
Take f(x) to be 4x^3-5x^2-4x-4Take g(x) to be 5x^2+xThen proceed to do f(x)/g(x)Perform synthetic or long division (which ever is your preferred method) Your remainder will be whatever is left over at the end of the division and the quotient will be the first variables.The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
I’ll give brainliest
Answers
Answer:
The slope of WX and WY
Step-by-step explanation:
For us to have a rectangle, the angles at the edges equal 90
What this mean is that the width and the length are at 90 degrees
Hence, we can say that they are perpendicular to one another
Thus, we can calculate the slopes of both to drive home our point
Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle
Write 5.5% as a fraction in simplest form
Answers
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
15 POINTS!!!!
Solve the equation.
p over five + 6 = 10
A. 44
B. 30
C. 20
D. –20
Answers
p/5 + 6 = 10
=> p/5 = 10-6
=> p/5 = 4
=> p = 5×4
=> p = 20
C. 20
A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue
Answers
1.8/1.8 : 3/1.8 = 1:1.67 and there you go.
write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how old is Samantha?
Answers
Answer:
Samantha's age = 27 years
Step-by-step explanation:
Let Jack's age be = xAs Samantha is one year less than twice her brother Jack’s age.
So Samantha's age = 2x-1As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
A national standardized test is graded on a scale from 1 to 5 the scores for a particular school are given below if a student Is chosen at random what is the possibility that they scored a 4 or a 5
Answers
Answer:
Step-by-step explanation:
The possibility of scoring a 4 is 1/5
The possibility of scoring a 5 is 1/5
The possibility of scoring either 4 or a 5 is 2/5
I need help with this proof!
Answers
Answer:
∠B ≅ ∠F ⇒ proved down
Step-by-step explanation:
In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent
Let us use this fact to solve the question
→ In Δs BCD and FED
∵ ∠C and ∠E are right angles
∴ Δs BCD and FED are right triangles ⇒ (1)
∵ D is the mid-point of CE
→ That means point D divides CE into 2 equal parts CD and ED
∴ CD = ED ⇒ (2) legs
∵ BD and DF are the opposite sides to the right angles
∴ BD and DF are the hypotenuses of the triangles
∵ BD ≅ FD ⇒ (3) hypotenuses
→ From (1), (2), (3), and the fact above
∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency
→ As a result of congruency
∴ BC ≅ FE
∴ ∠BDC ≅ ∠FDE
∴ ∠B ≅ ∠F ⇒ proved
pleasee help i put it as 24 points and I will mark brainliest thank you
Answers
Hope this helps
Have a happy holidays
Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.
Answers
Answer:
216g of margarine
Step-by-step explanation:
From the above question:
12 small cakes required 108g of margarine
If he would be making 24 of the small cakes, hence, that would be calculated as:
12 small cakes = 108g of margarine
24 small cakes = x
Cross Multiply
12 × x = 24 × 108g
x = 24 × 108g/12
x = 216g of margarine
Therefore, he would need 216g of margarine to make 24 of small cakes
Hackensack and New York City are 12 miles apart. On a map, the two cities are 2 Inches apart. How many miles does 1 Inch represent on the map?
Answers
Answer:
6 miles
Step-by-step explanation:
From the question, we are told that 12 miles represents 2 inches on the map.
We are to calculate the amount of miles 1 inch will represent. To do this you will say:
12 miles = 2 inches
x miles = 1 in
Cross multiply;
2 * x = 12 * 1
2x = 12
x = 12/2
x = 6
Hence 1 inch will represents 6 miles on the map
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
Answers
Which expression has the same value as 37.4 - 54.9?
Answers
Answer:
D
Step-by-step explanation:
In the original expression = 37.4 - 54.9 = -17.5
So, we have to solve all the equations but 1 of them has to equal to -17.5
A) -54.9 + (-37.4) = -92.3
Remove parentheses
= -54.9 - 37.4
Subtract the numbers
-92.3
B) 54.9 - 37.4 = 17.5
Since 54.9 is greater than 37.4 just subtract normally
4 14
5 4. 9 < ------- Line up the decimal points like this
- 3 7. 4 <--------- Subtract the decimals
-----------------
1 7 . 5 <---------- This is the final answer to B.
C) 37.4 - (- 54.9) = 92.3
Change the sign to addition
=37.4 + 54.9
Add the numbers normally
54.9
+ 37. 4
--------------
92.3
D) 37.4 + (-54.9) = -17.5
Change the sign to subtraction
= 37.4 - 54.9
Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)
54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed 37.4 - 54.9 so in this case your answer should be
- 17.5)
37.4 - 54.9 = -17.5
Your final answer is D because it matches 37.4 - 54.9.
Hope this helps!
Answer: -54.9+(-37.4)
Step-by-step explanation:
Your final answer is D because it matches 37.4 - 54.9.
Let f(x) = −2x 2 − 7 and g(x) = √x + 3. Find (f ∘ g)(25)
Answers
Answer:
(f О g)(25) is -135
Step-by-step explanation:
The composite function (f О g)(x) means substitute x in f by g
∵ f(x) = -2x² - 7
∵ g(x) = √3 + 3
→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)
∵ x = 25
∴ g(25) = √25 + 3
∵ √25 = 5
∴ g(25) = 5 + 3
∴ g(25) = 8
→ Now substitute x in f by 8
∵ x = 8
∴ f(8) = -2(8)² - 7
∴ f(8) = -2(64) - 7
∴ f(8) = -128 - 7
∴ f(8) = -135
∴ (f О g)(25) = -135
ind f(x+h) when f(x) = 3x- 4x^2
Answers
Answer:
f(x + h) = -4x² - 4h² - 8hx + 3x + 3h
General Formulas and Concepts:
Algebra I
Function NotationExpand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4x²
f(x + h) is x = x + h
Step 2: Evaluate
Substitute: f(x + h) = 3(x + h) - 4(x + h)²Expand [FOIL]: f(x + h) = 3(x + h) - 4(x² + 2hx + h²)Distribute: f(x + h) = 3x + 3h - 4x² - 8hx - 4h²Rewrite: f(x + h) = -4x² - 4h² - 8hx + 3x + 3h(50-72) 15 =
please help
Answers
Answer:
-330
Step-by-step explanation:
Trust me :)) sjsksksk
Which function rule models the function over the domain specified in the table below?
f(x)
11
11
17
O f(x) =3x + 10
O fx) = 2x + 3
O fx)= 4x +5
O fx) =3x-10
Answers
The function with the domain is given by f ( x ) = 2x + 3
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the x values be x = { -7 , -1 , 3 , 4 , 7 )
Let the y values be y = { -11, 1 , 9 , 11 , 17 }
Now , the function is given as
f ( x ) = 2x + 3 be equation (1)
when x = -7
y = 2 ( -7 ) + 3
y = -11
when x = 7
y = 2 ( 7 ) + 3
y = 17
Hence , the function is f ( x ) = 2x + 3
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How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
Answers
One bag covers 100ft2.
4800ft2/100ft2/bag = 48 bags
Cribe how making a list can help you solve a math problem. Write a problem that could be solved by making a list.
Answers
Answer:
Step-by-step explanation:
All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....
15x - 25 = 275
Get rid of -25 by adding 25 on both sidesDivide 15 on both sides to isolate xCelebrate on solving the problemSee making a list isolates the problem into an easy to read instruction manual.
Can anyone tell me why I got this question wrong? Btw Happy Holidays!
Answers
Answer:
Hope this may helps you
Answer:
Column A:
You calculate slope doing y2-y1/x2-x1
So -10-1/5-(-2)= -11/7
Column B:
Rearrange the equation to get y
-3x+2y=7
2y=3x+7
y= 1.5x + 7
Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.
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What is the solution to the following proportion?
18/x = 3/2
Answers
Answer:
cross multiply to get 12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
18 x 2 is 36 divided by 3 is 12
you can simplify 18/12 by 6 to get 3/2
Explain, in terms of the structure of the expression for L(t) , why Lincoln's balance can never be 499.
Answers
Answer:
after 19 years, Helen's balance is still larger than Lincoln's but after 20 years, Lincoln's balance will be larger than Helen's.
Step-by-step explanation:
