given parallelogram BCDE
what is the equation to find x?
what is x?
what is length of side CD?
please help
Answers
Answer:
x=3
CD = 13
Step-by-step explanation:
BE = CD in a parallelogram
1+4x = 5x -2
Subtract 4x from each side
1+4x-4x = 5x-2 -4x
1 = x-2
Add 2 to each side
1+2 = x-2+2
3 =x
The length of CD
CD = 5x-2 = 5*3 -2 = 15-2 = 13
Related Questions
To make cupcakes the recipe requires 3/4 of a Cup of cocoa powder In my pantry I have 5/2 cups of cocoa powder. How many recipes can i make
Answers
Answer:
3 1/3
Step-by-step explanation:
5/2 divided by 3/4 = 3 1/3
If f(x) = x -5, what is f(2)
Answers
f(2) = -3
Step-by-step explanation:
f(x) = x - 5
f(2)) = (2) - 5 = -3
PLEASE HELP !! two angles in a triangle have measurements of 20 degrees and 50 degrees. what is the measure of the third angle? the options are 70 degrees, 30 degrees, 110 degrees, and 120 degrees
Answers
Answer:
the answer is 110 degrees because 50 plus 20 is 70 and a triangle is 180 degrees so you do 180 minus 70 which gives you 110 :)
Step-by-step explanation:
Which is the most expensive? 6 for $46.50 or 9 for $67.50?
Answers
Answer:
6 for 46.50$
Step-by-step explanation:
you can divide 67.50 over 46.50 (it is less than 3/2)
so 46.50 for 6 is the most expensive
of course if you buy more, it is going to be cheaper than buying less
Complete the table of values:
Answers
Formula given: [tex]y=x^{2} -x-6[/tex]
x -3 -2 -1 0 1 2 3
y 6 0 -4 -6 -4 -4 0
when x = -2
[tex]=(-2)^{2} -(-2)-6[/tex]
[tex]=0[/tex]
when x = -1
[tex]=(-1)^{2} -(-1)-6[/tex]
[tex]=-4[/tex]
when x = 1
[tex]=(1)^{2} -(1)-6[/tex]
[tex]=-6[/tex]
when x = 2
[tex]=(2)^{2} -(2)-6[/tex]
[tex]=-4[/tex]
when x = 3
[tex]=(3)^{2} -(3)-6[/tex]
[tex]=0[/tex]
Answer:
-3 -2 -1 0 1 2 3
6 0 -4 -6 -6 -4 0
Step-by-step explanation:
One is given the following function;
[tex]y=x^2-x-6[/tex]
The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.
[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]
[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]
[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]
[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]
[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]
make greatest and smallest possible 7- digit number from 4,7,1,9,0,6,7
Answers
Answer:
greatest 9776410 smallest 1046779
Step-by-step explanation:
in smallest we cannot write 0 first because 0 has no units
Answers:
Largest possible = 9776410
Smallest possible = 1046779
====================================================
Explanation:
To make the greatest 7-digit number, we start with the largest digit at the left-most end. So we start with 9. Then the next digit is the next largest, which is 7, and so on until we get
9776410
If we swap any two distinct digits, then we'll get something smaller than that value above. For instance, swap the 1 and 0 which leads to 9776401 and this is smaller than 9776410. This is simply because 01 is smaller than 10. Every other digit is kept the same. Try out other digit swaps to see that the result is smaller than the value in bold.
------------------------
To make the smallest 7-digit number, we just take the idea mentioned in the first section and we reverse it. We start with the smallest digit. We can't have 0 as the first value or else it won't be a 7-digit number. So we go for 1 instead. Then we can pick 0 next. For the third digit we pick the third smallest (the digit 4), and we build up to get
1046779
If we swap any distinct two digits, then we'll get something larger than this value. Let's say we swap the second 7 and the 9 at the end. We go from 79 at the end to 97. Since 79 < 97, this means 1046779 < 1046797. That's one example of many.
--------------------------
So in short, the largest number possible has all the largest digits to the left (and we decrease going left to right). The smallest number possible is the reverse of this having the smallest digits to the left (then increasing from left to right). The 0 cannot be at the left-most digit position, or else won't have a seven digit number.
If a = 5 and b
6, evaluate the following expression:
3a - 26
Answers
Step-by-step explanation:
3a-26
3(5)-26
15-26
=-11
Answer:
[tex]3a - 26 \\ 3 \times 5 - 26 \\ 15 - 26 \\ = - 11[/tex]
All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation
Answers
~All squares are rhombuses, but not all rhombuses are squares.
This statement is ✨True✨
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
Answers
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:
[tex]k = \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - Input.
[tex]y[/tex] - Output.
If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:
[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]
[tex]k_{1} = \frac{45.5}{13}[/tex]
[tex]k_{1} = \frac{7}{2}[/tex]
[tex]k_{2} = \frac{y_2}{x_2}[/tex]
[tex]k_{2} = \frac{49}{14}[/tex]
[tex]k_{2} = \frac{7}{2}[/tex]
[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]
[tex]k_{3} = \frac{52.5}{15}[/tex]
[tex]k_{3} = \frac{7}{2}[/tex]
Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.
A un carpintero le encargaron cambiar la forma de una mesa, de circular a cuadrada. El radio de la mesa mide 2 m y los lados del cuadrado que le encargaron deben medir 2.83 m, como se muestra en la figura. (considerar π=3.14). ¿Cuántos metros cuadrados de área tiene que eliminar para que quede la mesa cuadrada?
Answers
Answer:
4.46 m^2
Step-by-step explanation:
Sabemos que para un círculo de radio R, el área es:
A = pi*R^2
mientras que para un cuadrado de lado L, el área es:
A = L^2
Ahora queremos calcular los metros cuadrados de área que tiene que sacar el carpintero, esto será simplemente igual a la diferencia entre el área original de la mesa (cuando es circular) y el área final de la mesa (cuando es cuadrada).
Originalmente, la mesa es circular y tiene un radio de 2m.
Entonces el área original es:
A = 3.14*(2m)^2 = 12.56 m^2
Al final, la mesa será un cuadrado de tal forma que sus lados deben medir 2.83m, entonces el área final de la mesa será:
A' = (2.83m)^2 = 8.01m^2
La diferencia nos da:
A - A' = 12.56 m^2 - 8.01m^2 = 4.46m^2
Esto nos dice que se deben eliminar 4.46 m^2 para que la mesa quede cuadrada.
When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number ?
Answers
Answer:
- 3
Step-by-step explanation:
let n be the number , then
3n + 4 = n - 2 ( subtract n from both sides )
2n + 4 = - 2 ( subtract 4 from both sides )
2n = - 6 ( divide both sides by 2 )
n = - 3
The number is - 3
The number is - 3.
To find the number.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. All the whole numbers are also integers, because integers include all the positive and negative numbers.
Given that:
let n be the number , then
3n + 4 = n - 2 ( subtract n from both sides )
2n + 4 = - 2 ( subtract 4 from both sides )
2n = - 6 ( divide both sides by 2 )
n = - 3
So, the number is - 3.
Learn more about integer here:
https://brainly.com/question/24145706
#SPJ2
What is the solution for the following system of equations?
5x + 7y = 3
2x + 3y = 1
O (-1,2)
O (1,-2)
O (-2,1)
O (2,-1)
Answers
Step-by-step explanation:
I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.
Answer:
[tex](2, -1)[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]
Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]
Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]
Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]
Condense the expression into a
single logarithm and simplify.
2log10x + + log105
Answers
Answer:
log10( 5x^2)
Step-by-step explanation:
2 log10 (x) + log10 (5)
we know that c loga (b) = log a (b^c)
log10 x^2 + log10 (5)
We also know that logc a + logc b = logc (ab)
log10 (x^2* 5)
log10( 5x^2)
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?
Answers
Answer:
24 Miles
Step-by-step explanation:
We multiply:
40 * 0,6 = 24 miles
ecuaciones con resultado 17
Answers
Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
Let p: x < −3
Let q: x > 3
What is represented by p ∨ q?
x < −3 and x > 3
x > 3 or x < −3
If x < −3, then x > 3
x < −3 if and only if x > 3
Answers
Answer:it is the number above the 5
Step-by-step explanation:
how much water should be added to one liter of pure ammonia to make a mixture of 50% ammonia
Answers
Answer:
I assume that this is a math question not a chemistry question...
In math I assume the answer is 1 liter....
total = 2 liters (1 liter water 1 liter ammonia )
If this is a chemistry question there is a difference between total
volume, and total weight, which would not result in the answer being 1 liter
Step-by-step explanation:
I need help............
Answers
Problem 35
The bar graph is shown below
You simply draw various rectangles such that the heights represent the frequency of each animal type.
Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.
You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).
=======================================================
Problem 36
1 book = 20 mm thickness
5 books = 5*20 = 100 mm thickness
1 paper = 0.016 mm thickness
5 papers = 5*0.016 = 0.08 mm thickness
total thickness = 100+0.08 = 100.08 mm
Answer: 100.08 mm=======================================================
Problem 37
121/11 = 11
121 = 11*11
If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121
This is probably the easiest way to get the answer assuming repeated values are allowed.
You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.
-----------
If your teacher requires you to add 11 different numbers, then you can follow this procedure
Write out eleven copies of "11" in a sequenceSubtract 2 from the first "11" (to get 9) and add it to the last copy of "11" (to get 13)Subtract 4 from the second "11" (to get 7) and add it to the second to last copy of "11" (to get 15)Subtract 6 from the third "11" (to get 5) and add it to the third to last copy of "11" (to get 17)Subtract 8 from the fourth "11" (to get 3) and add it to the fourth to last copy of "11" (to get 19)Finally, subtract 10 from the fifth "11" (to get 1) and add it to the fifth to last copy of "11" (to get 21)After carefully following those steps, you'll get this sequence (in the exact order shown):
{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}
There are three properties to notice of this sequence
It's composed of two decreasing arithmetic sequences {9, 7, 5, 3, 1} and {21, 19, 17, 15, 13}The 11 in the middle hasn't been changed from the original sequence of nothing but "11"s.You should find that the terms of this new sequence add to 121.That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}
and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121
Answer: 1+3+5+7+9+11+13+15+17+19+21 = 121Mr. Jackson orders a lunch special. The cost of each lunch is $6.00. The delivery man charges $2.00 for delivery. Complete the table below and write an expression to determine "Cost of ordering "AND" lunches.
Answers
Answer:
$8.00
$32.00
$62.000
N.$6.00 + $2.00
Step-by-step explanation:
i need help...... ..
Answers
Problem 27)
Refer to the diagram that says "problem 27".
This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.
This equation comes from the simple interest formula below
i = P*r*t
i = 100*0.05*x
i = 5x
y = 5x
Note: The graph is a straight line through (0,0) and (1,5)
=====================================================
Problem 28)
The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.
The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.
The graph of points is shown below in the figure labeled "problem 28".
When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.
Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix? 3(3)(0.75)(2) = (3 + 0.75)x 3(3) + 0.75(2) = (3 + 0.75)x 3(3)(0.75)(2) = (3 + 0.75) + x 3(3) + 0.75(2) = (3 + 0.75) + x
Answers
Answer:
B
Step-by-step explanation:
3(3) + 0.75(2) = (3 + 0.75)x
Helppppppppppppppppppppppppppppppppppppppppppp meeeeee
Answers
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
The king has 14 different colored flags that he uses to send coded messages to his general inn the field. For example blue-green-red might mean attack at dawn and red-green-blue- may mean retreat. He sends by arranging 3 of the flag atop the castle wall. How many coded messages can the king send?
Answers
Answer:
364 messages
Step-by-step explanation:
The king uses 14 flags in all and arranged 3 at a time to send a code to his general. The number of coded messages that can be sent by the king can be determined by;
Total number of colored flags = 14
Number of flags arranged per time = 3
So that,
[tex]^{14} C_{3}[/tex] = [tex]\frac{14!}{(14 - 3)!3!}[/tex]
= [tex]\frac{14!}{11!3!}[/tex]
= [tex]\frac{14*13*12*11!}{11!3!}[/tex]
= [tex]\frac{14*13*12*11!}{11!3*2!}[/tex]
= 364
[tex]^{14} C_{3}[/tex] = 364
The number of coded messages that can be sent by the king is 364.
Hannah either walks or cycles to school. The probability that she walks to school is 0.75. If she walks, the probability that she is late is 0.6. If she cycles, the probability that she is late is 0.2. Work out the probability that on any one day Hannah will not be late for school
Answers
Answer:
0.17
Step-by-step explanation:
im not really sure but that closest as 0.75+0.6+0.2=0.83 and 1.00-0.83=0.17
Answer:
0.17
hope this helps
Which of the following is the proper name for the figure below?
T
M
A
y
X
Ο Α. ΔΑΤΧ
Ο Β. ΔΑΤΜ
Ο C. ΔΑΥΜ
Ο D. ΔΑΥΧ
Answers
Answer:
A
Step-by-step explanation:
i don't know the real answer but i have learned it before so it's an educated guess
Someone help fast please
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The sequence of payment is geometric , that is
1, 3, 9, ...
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , then
[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and
7174453 ÷ 100 = $71,744.53 → A
solve the equation 3x²–2x=5
Answers
Answer:
x= -1 or x= 5/3
Step-by-step explanation:
3x²–2x=5
3x²-2x-5=0
(3x+_)(x-_)
(3x-5)(x+1)
(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5)
3x-5=0
3x=5
x= 5/3
x+1
x=-1
x= -1 or x= 5/3
Hope this helps!
Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)
Answers
Answer:
cos(2π/35)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Sum/Difference Formula [cosine]: [tex]\displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)[/tex]Step-by-step explanation:
Step 1: Define
Identify
cos(π/5)cos(π/7) + sin(π/5)sin(π/7)
Step 2: Simplify
Sum/Difference Formula [cosine]: cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)Subtract: cos(π/5 - π/7) = cos(2π/35)Find the value of x in the isosceles triangle shown below.
Answers
Answer:
x = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
using pythagoras theorem
here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.
a^2 + b^2 = c^2
[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]
13 + 13 = x^2
26 = x^2
[tex]\sqrt{26}[/tex] = x
Answer:
answer would be c
Step-by-step explanation:
hope this helps
How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}
Answers
Answer:
There are 24 different correspondences.
Step-by-step explanation:
A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.
So, to count all the possible combinations, we need to find the number of possible options for each mapping
The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.
The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).
The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.
The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.
The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:
Combinations = 4*3*2*1 = 12*2 = 24
There are 24 different correspondences.