Answer: We are given Quadrilateral LMNO is reflected over a line.
Also given Quadrilateral LMNO is congruent Quadrilateral CDAB, that is
LMNO ≅ CDAB.
Note: Reflection over a line represents mirror images of the figures.
From the given image we can see
LM is congruent to CD.
ON is congruent to BA.
LO is congruent to BC.
MN is congruent to AD.
Therefore, DC segment corresponds to ML.
Hope i helped you out!
y = 3x = 2
=
- x + 6
For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?
Answer:
Adults =193
children=52
Step-by-step explanation:
Step one:
let the number of tickets adults be x
and the number of tickets children be y
x+y=245--------1
6.5x+3y=1410.5---2
Step two:
solve the system of equation using substitution
x+y=245
x=245-y
put x=245-y in equation 2 we have
6.5(245-y)+3y=1410.5
1592.5-6.5y+3y=1410.5
-6y+3y=1410.5-1592.5
-3.5y=-182
y=182/3.5
y=52
put y=52 in x=245-y
x=245-52
x=193
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2
If l is parallel to m, solve for x and y.
Answer:
Step-by-step explanation:
3x + 49 = 7x - 23
4x = 72
x = 18
11y - 1 = 3(18)
11y = 55
y = 5
The value of x is 18 and y is 5.
What are the properties of parallel lines?Following are the properties of parallel lines,
The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.Given:
<1 = 7y -23
<2 = 11y -1
<3 = 3x
Using corresponding angle
7x - 23 = 3x + 49
4x = 72
x = 18
again, Using corresponding angle
3x = 11y - 1
3(18) = 11y - 1
11y = 55
y= 5
Hence, the value of x is 18 and y is 5.
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Write an equation in slope intercept form for the line that it passes through (10, 3) and is parallel to the line described by y = 4x + 7.
Answer:
y = 4×-37
Step-by-step explanation:
y - 3 = 4(× - 10)
y - 3 = 4× - 40
+3. +3
y = 4x - 37
sorry if this wrong, but the equation setup is right
2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
If f(x) = 2x + 1, what is f(x) when x = 3?
a)1
b)7
c)13
d)19
Answer:
7
Step-by-step explanation:
part B is the correct answer
Answer:
B) 7
Step-by-step explanation:
f(x)=2(3)+1
2(3)=6
6+1=7
i don’t know how to do this
Answer:
A2: 55
A1: 99-55+x:180
X:26
Which of these describes the system of linear equations below?
3x-2y=7
6x-4y=14
a) the system has no solutions.
b) the system has infinitely many solutions.
c) the ration of the-coordinate to the y-coordinate of the only solution is 2 : 1.
d) the difference between the x-coordinate and y-coordinate of the only solution is one.
Given:
The system of equations is
[tex]3x-2y=7[/tex]
[tex]6x-4y=14[/tex]
To find:
The correct statement for the given system of equations.
Solution:
On comparing the given equations and general form of linear equation, i.e., [tex]ax+by+c=0[/tex], we get
[tex]a_1=3,b_1=-2,c_1=-7[/tex]
[tex]a_2=6,b_2=-4,c_2=-14[/tex]
Here,
[tex]\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], therefore, the two equations are equivalent and the system has infinitely many solutions.
Hence, the correct option is b.
Graph this system of equations on the coordinate plane
y= -3x+3
y= 1/2x -4
Answer:
see the figure
Step-by-step explanation:
see the figure
Answer:
(2,-3)
Step-by-step explanation:
Desmos graphing calculator
Simplify the expression
1/5v+3/10v
[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]
proteins are important to the body because they
Answer:
Proteins are important because it improves your immune system.
Step-by-step explanation:
It's a short answer, but I hope it helps loll.
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
What is the equation linear function in point-slope form M=-1/5 and f(0)=7
Answer:
y-7= -1/5x
Step-by-step explanation:
general formula (y-y1)= m(x-x1)
m is the slope and in this case m=-1/5
(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y
substitute your given in the equation
(y-7) = -1/5(x-0)
y-7= -1/5x
Find the difference between 7/10 and 1/5.
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
multiply 532 and 734 using natural logarithms
Need help on this Math problem
Answer:
I hope I helped :)
Step-by-step explanation:
a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.
b. The slope represents Sam's monthly fee.
c. Sam's monthly fee is 0.4 or 2/5
d. Every 50 minutes is $20.
PLZZZZ HELPPPP THIS IS TIMED!!!
Are the two figures below similar?
A No, the sides are not proportional.
B Yes, the sides are proportional.
C Yes, the sides are congruent.
D No, the sides are not congruent.
Answer:
C. C Yes, the sides are congruent.
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
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Raise to the power:
[tex](-2abx)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]
[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Tony's recipe for soup calls for 11/4 teaspoons of salt. He wants to use 1/2 that
amount. How much salt will he use?
Answer:
11/8
Step-by-step explanation:
Simplify 11/4 = 2 3/4
half of 2 = 1
half of 3/4 = 3/8
1 3/8 changed to an inproper fraction = 11/8
What is the y intercept y=-4-3/2x
Answer:
should be -4
Step-by-step explanation:
Which ordered pair is a solution of the equation? Y = 7x - 3
Answer:
y-intercept: ( 0 , − 3 )
x-intercept: ( 3 7 , 0 )
Step-by-step explanation:
Which number is equivalent to the fraction ?
Answer:
15/7 = 2.14 or 2 1/7
Hope This Helps!
Answer:
2 1/7
Step-by-step explanation:
15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper
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What is the coefficient of the fourth term in this expression?
m3+2kn2+mn2+6k2n
Evaluate the expression when x = -6
Answer:
−39
Step-by-step explanation:
−6^2+5−6−2
=−36+5−6−2
=−31−6−2
=−37−2
=−39
Answer:
4
Step-by-step explanation:
(-6)^2 + 5(-6) -2
= 36 - 30 - 2
= 6 - 2
= 4
Is this the one you meant?
Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.
$383.09
$395.32
$427.91
$442.63
3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]
=======================================================
Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
----------------------
Side notes:
If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])