Answer:
(x, y) = (6, 2)
Step-by-step explanation:
You solve for x and y by writing equations that reflect the relation applicable to the given geometry.
The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.
2x -4 = 4y . . . . . . down diagonal
x +4 = 7y -4 . . . . . up diagonal
__
We can subtract the first equation from 2 times the second equation to eliminate the x-variable.
2(x +4) -(2x -4) = 2(7y -4) -(4y)
2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses
12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms
20 = 10y . . . . . . . . . . . . . . . . . . add 8
2 = y . . . . . . . . . . . . . . . . . . . . divide by 10
Substituting into the second equation gives ...
x +4 = 7(2) -4
x = 6 . . . . . . . . . . . . subtract 4
The values of x and y are (x, y) = (6, 2).
_____
The lengths of the diagonals are 20 and 16.
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
Please Mark as brainliest
b(a+b)+a; use a=9, and b=4
Answer:
61
Step-by-step explanation:
b(a + b) + a
First, distribute b to a+b
ba + b^2 + a
Now, substitute values
9(4) + 4(4) + 9
36 + 16 + 9 = 61
-Chetan K
help me no bots I need help pls give me all 3 answers!
Answer:
y= -10x+70
slope being -10 and y-intersept being 70
Step-by-step explanation:
Answer:
Equation: y=-10x+70
Slope: -10
Y-Intercept: 70
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
find the sequence 5n+1
Answer:
Their are many answers for that seqence such as
1,6,11,16,21, etc..
Answer:
6,11,16,21,26,31,36...
Step-by-step explanation:
5x1=5 +1=6
5x2=10+1=11
...
What’s the definition of coefficient
Answer:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
Step-by-step explanation:
Q: What is the coefficient in 6x^2
A: 6
Note: It is USUALLY a number
compare. 2 1/4 and 3 /14
Answer:
[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]
[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]
[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]
i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]
but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number
and [tex]\frac{3}{14}[/tex] is a proper fraction
Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x â’ 12y = â’48 â’3x â’ 5y = 29 x 4y = 16 â’9x â’ 15y = 87 x 4y = 16.
The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].
Given Equations,
[tex]3x + 5y = 29......(1)[/tex]
[tex]x + 4y = 16.......(2)[/tex]
We have to find out Which system of equations is equivalent to the Given system of Equations.
1). System of equation are,
[tex]3x+5y=29\\-x-4y=16[/tex]
taking - common and transposing to R.H.S we get,
[tex]x+4y=-16[/tex]
This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.
Similarly, on checking other options,
2. system of equation,
[tex]3x+5y=29\\-3x-12y=-48[/tex]
Taking -3 common from L.H.S. we get,
[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]
[tex]x+4y=16[/tex].
Hence the Above system of equation is equivalent to the given system of equation.
So, there is no need to check option (3) and option (4).
Hence the correct option is (B).
For more details on Equations follow the link:
https://brainly.com/question/11897796
Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!
pls pls plz plz pls help
Answer:
x is 24°
Step-by-step explanation:
angles substended by the same chord or arc....90-66= 24°.
a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?
What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
For more details about expressions follow the link:
https://brainly.com/question/545403
50 points
Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of a and b in the table below? Round to the nearest tenth if necessary.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Picture frames
99
88
a
b
a = StartFraction 11 over 99 EndFraction; b = 11.1 percent
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a = StartFraction 88 over 99 EndFraction; b = 88.9 percent
a = StartFraction 11 over 11 EndFraction; b = 100 percent
Answer:
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a
because I did my research
Answer:
B. a=11/88 ; b=12.5%
Step-by-step explanation:
A geodesic dome has a hexagonal floor. If the diagonal of the floor is to be 24ft. 8in., what is the distance around the floor?
Answer:
e
Step-by-step explanation:
e
John had one piece of rope that was 176 feet long. He cut the rope into as many 9-foot pieces as possible. The last piece of rope was less than 9 feet long.
Answer:
The ninth piece is 0.5 feet long
Step-by-step explanation:
176 divided by 9
Hope this helps!
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
Which expression is equivalent to 3(2x + 2) +4x + 3?
Answer:
10x + 9
Step-by-step explanation:
3(2x + 2) +4x + 3
=> 6x + 6 + 4x + 3
=> 10x + 9
Therefore, 10x + 9 is the solved equation.
Hoped this helped.
[tex]GeniusUser[/tex]
3(2x + 2) + 4x + 3
6x + 6 + 4x + 3
10x + 6 + 3
10x + 9
Answer is that 10x + 9 is equal to 3(2x+2) + 4x + 3
In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP AHHHHH
Applying the inscribed angle theorem, the missing measures are:
1. m∠EDA = 29°
2. m∠BDC = 21°
3. m∠BDC = 21°
4. measure of arc AB = 80°
5. m∠AEB = 40°
6. m∠AEB = 29°
7. m∠BAC = 21°
8. measure of arc ED = 90°
9. m∠ECD = 45°
10. m∠ACB = 40°
11. m∠EBD = 45°
12. m∠ADB = 40°
13. m∠CAD = 45°
14. m∠EAB = 111°
15. m∠EBC = 90°
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).
The diagram showing circle P is attached below. We are given the following:
measure of arc EA = 58°
measure of arc BC = 42°
measure of arc CD = 90°
Thus:
1. m∠EDA = ½(measure of arc EA)
m∠EDA = ½(58)
m∠EDA = 29°
2. m∠BDC = ½(measure of arc EA)
m∠BDC = ½(42)
m∠BDC = 21°
3. m∠BEC = ½(measure of arc BC)
m∠BDC = ½(42)
m∠BDC = 21°
4. measure of arc AB = 180 - 58 - 42
measure of arc AB = 80°
5. m∠AEB = ½(measure of arc AB)
m∠AEB = ½(80)
m∠AEB = 40°
6. m∠ECA = ½(measure of arc EA)
m∠AEB = ½(58)
m∠AEB = 29°
7. m∠BAC = ½(measure of arc BC)
m∠BAC = ½(42)
m∠BAC = 21°
8. measure of arc ED = 180 - 90
measure of arc ED = 90°
9. m∠ECD = ½(measure of arc ED)
m∠ECD = ½(90)
m∠ECD = 45°
10. m∠ACB = ½(measure of arc AB)
m∠ACB = ½(80)
m∠ACB = 40°
11. m∠EBD = ½(measure of arc ED)
m∠EBD = ½(90)
m∠EBD = 45°
12. m∠ADB = ½(measure of arc AB)
m∠ADB = ½(80)
m∠ADB = 40°
13. m∠CAD = ½(measure of arc CD)
m∠CAD = ½(90)
m∠CAD = 45°
14. m∠EAB = ½(180 + 42)
m∠EAB = ½(222)
m∠EAB = 111°
15. m∠EBC = ½(measure of arc EDC)
m∠EBC = ½(180)
m∠EBC = 90°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/14267250
please please help i beg ill give brainlist
Answer:
[tex]a_{15}=-268,435,456[/tex]
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
[tex]a_n=a_1x^{n-1}[/tex]
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
[tex]a_n=(-1)(-4)^{n-1}[/tex]
Then, you can solve for the 15th term:
[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
Directions- If each quadrilateral below is rectangle, find the missing measures
Answer:
1) 59
2) 31
3) 59
4) 31
5) 31
6) 59
7) 118
8) 62
9) 62
10) 118
11) 31
Step-by-step explanation:
The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!
Can someone Please help me on this easy math problem
In the figure below, m∠1 = x and m∠2 = x - 4. Which statement could be used to prove that x = 47?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
The answer is C) m∠1 + m∠2 = 90
Explanation: So ∠1 is x and ∠2 is x-4
Basically you know than ∠3 is 90° ... And a straight line is 180° .. So technically we can just find out 180-90 is 90(the other angle 1 + 2).
To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-
So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°
In other words you can say m∠1 + m∠2 = 90
the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago
Simplify the question
Solve for x. I need help understanding my math.
Answer:
x = 33
Step-by-step explanation:
11 - 4 = 7
You need to make that fraction equal 11
33/3 = 11
I hope this helps!
Which statement about the slope of the line is true?
It is −2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B.
The slope from point O to point A is two times the slope of the line from point A to point B.
Explanation:
Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.
slope = rise/run = -1/2
rise = -1 and run = 2
A negative rise value means we go downhill when moving to the right.
add 17 divied by 20 + 7 dived by 20 help
Answer:
1.2
Step-by-step explanation:
17 ÷ 20 + 7 ÷ 20
I hope this helps!
2.0,3.1,4.2,5.3 what is the next three numbers and what are they adding by
Answer:
6.4, 7.5, 8.6adding 1.1 each time
Do Now 13.2:
Green light has a frequency of 5.71 x 10' Hz.
Calculate the energy of a green light photon.
(SHOW ALL WORK for FULL CREDIT!)
Answer:
Not Step-by-step explanation:
Not enough info
PLEASE HELP!!! TRIG
The three solutions of the equation
f(x)=0 are 0°, 180°, and 360°.
Therefore, the three solutions of the equation f(x-30°)=0 are:
Answer:
30°, 210°, 390°
Step-by-step explanation:
Given
f(x ) = 0 has solutions 0°, 180°, 360° , then
f(x - 30) = 0
Add 30° to each of the solutions of f(x) = 0
(0 + 30)° = 30°
(180 + 30)° = 210°
(360 + 30)° = 390°