Parallel lines are those lines that lie in the same plane and never intersect each other. They are equidistant from each other at every point and have the same slope.
Two lines are stated to be parallel when they do not meet at any point in a plane. This means that lines which do not have a common intersection point and never cross paths with each other are parallel to each other. The symbol used for representing parallel lines is ‘||’.
Two parallel lines are represented as:
AB║CD
That is line AB is parallel to CD.
The perpendicular length between the two parallel lines is always constant.
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The three largest categories of motor vehicles are sedan, SUV, and minivan. Suppose
hat of the buyers in a particular community who now own a minivan, 18% will change to
an SUV and 20% will change to a sedan. Of the buyers who now own a sedan, 35% will
hange to a minivan and 20% will change to an SUV, and of those who now own an
SUV, 12% will buy a minivan and 32% will buy a sedan.
Draw a transition diagram that displays these changes.
On solving the provided question, we can say that - here in the percentage obtained = 40 => so, 40/100X100 = 40%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is = 100
obtained = 40
so, 40/100X100 = 40%
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Andy and Trevor share 40 sweets in a ratio 11: 9
How many more sweets does Andy receive than Trevor does?
Answer:
Step-by-step explanation:
no
Answer:
22:18
Step-by-step explanation:
In this case, firstly you have to add 11 and 9 together, which makes 20.
Then, 40 ( number of sweets ), divided by 20 gives us 2.
This means that every piece, or block, of our ratio will be 2.
Therefore, the last step is multiplying 11x2 and 9x2.
So, Andy has 22 sweets an Trevor has 18.
x - y if X is -11 and y is 26
Answer: -37
Step-by-step explanation: -11-26
PLS HELP ASAP 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS
The angles that would make triangle ABC congruent to triangle PDF by AAS are ∠ ACB and ∠ PFD i.e. ∠ ACB = ∠ PFD.
What is triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle ABC and PDF are concurrent by AAS,
The AAS concurrency required two angles and one side to be equal,
Here,
AB = PD,
∠ ABC = ∠ PDF
Now one more angle is required to be equal,
∠ ACB = ∠ PFD
Thus, the missing angle is ∠ ACB and ∠ PFD.
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F(x) = 3x -4 find each value of F(0)
Answer:
Step-by-step explanation:
Rewrite the function as an equation.
y
=
3
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
3
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
3
y-intercept:
(
0
,
−
4
)
Determine whether the geometric series is convergent or divergent. 10 – 8 + 6.4 – 5.12 +... A. convergent B. divergent If it is convergent, find its sum. (If the quantity diverges, leave this blank.) _____
The given series is convergent and the sum S∞ is 5.555
Think about 10 - 8 - 6.4 - 5.12
If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.
the average ratio,
r = -8/10
⇒ r = -0.8
This equals 1 - 0.8 - 1.
The presented series is hence convergent.
Sum of series = S∞ = a/(1 - r)
Here, first term(a) = 10,
common ratio(r) = -0.8,
S∞ = a/(1 - r)
⇒ S∞ = 10/(1 - (-0.8))
⇒ S∞ = 10/(1 + 0.8)
⇒ S∞ = 10/1.8
⇒ S∞ = 5.555
Therefore, the given series is convergent and the sum S∞ is 5.555
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A sequence is represented by the explicit formula
The value of a₂₆ in the arithmetic sequence aₙ= 14 + 9n is 248.
The correct option is D.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
An arithmetic sequence,
aₙ= 14 + 9n
We have to find the value of a₂₆.
That means, n = 26.
Substitute the value of n = 26 to the sequence,
a₂₆ = 14 + 9(26)
a₂₆ = 14 + 234
a₂₆ = 248
Therefore, the value of a₂₆ is 248.
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What is the measure of m?
n
m
28
7
m = [? ] V
Give your answer in simplest form.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{35}{m}=\cfrac{m}{7}\implies 245=m^2\implies \sqrt{245}=m\implies \sqrt{7^2\cdot 5}=m\implies 7\sqrt{5}=m[/tex]
Evaluating Linear Functions
The value of linear equations are f(x) = -17 and f(x) = -73 .
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.
A)
f(x) = -2x + 7 when x = -12f (x) = -2*12 + 7
= -24 + 7
= -17
f(x) = 5x - 13 when x = -14f(x) = 5*-14 - 13
= -60 -13
= -73
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The point A (1,1) and the point B(5,-1) lie on the line L. Find the equation of the line L
Write a proportion to find how many points x a student needs to score a on a test worth 50 points
to get a test score of 40%.
Please Help
A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.
what is proportion ?The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value. When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.
given
test score to 50 points
test score of 40 %
= 50/100 * 40
= 20
A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.
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Please help I have a learning disability and this is due today
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
0 + 32 and 0
yes, it uses the Commutative Property
No they are not equivalent. The first expression is equal to 32, not 0.
yes, it uses the Associative Property
yes, it uses the Identity Property
Answer:
yes, it uses the Commutative Property
Step-by-step explanation:
The difference between the two groups compared will have more significance as the p-value becomes __________. The difference between the two groups compared will have more significance as the t-value becomes __________.
The significance of the difference between the two groups under comparison will increase as the p-value decreases. The significance of the difference between the two groups under comparison will increase as the t-value rises.
If there is a significant difference between two groups, what does that mean?A difference that is "statistically significant" does not necessarily have to be "large, important, or significant in terms of the utility of the finding"; it simply means that there is statistical evidence that there is a difference.
When the p-value exceeds the significance level, what does that mean?In general, when the null hypothesis H0 is true, our sample results could have happened by random chance alone when the p-value is "high" (i.e. greater than or equal to the significance level).
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Given g(x) = 1/2(3x-1) and f(x)=7 identify the value of x which makes f(x) = g(x)
Answer:x=5
Step-by-step explanation:
f(x) = g(x)
[tex]\frac{1}{2}(3x-1)=7\\\\ \frac{3}{2}x-\frac{1}{2} =7\\\frac{3}{2}x-\frac{1}{2}+\frac{1}{2} =7+\frac{1}{2} \\\\\frac{3}{2}x=\frac{15}{2} \\\frac{3}{2}x*\frac{2}{3} =\frac{15}{2}*\frac{2}{3} \\\\x=5[/tex]
Simplify the following polynomial, then evaluate for x = -2
2x2 - 4x + 3x2 + x - 7
Answer:
[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]
How do you graph 3 4 on a number line?
By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 8 equal parts we can graph 3/4 on the number line, where 3/4 = 6/8, which will be equal to the sixth part from the left end.
A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.
For drawing 3/4 on a number line, we will follow the following steps:
We will first draw a line and mark 0 and 1 on it.
In between 0 and 1, we will divide the total distance into 8 equal parts, where one part will represent (1/8)th portion.
As 3/4 can be written as 6/8 which will be equal to 6 parts out of those 8 parts.
Hence. by marking there we can locate 3/4 on the number line.
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The correct question should be like:
How do you plot 3/4 on number line
One of the roots of the equation x^2-5x+q=0 is 2. Find the other root and the value of the coefficient q.
The value of q in the given equation x²- 5x + q = 0 will be 4.
What is a polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
given an equation x²- 5x + q = 0 and the question states that it has a root that is equal to 2
Since 2 is the root of this quadratic equation it will satisfy the equation
Substituting the values in the equation
4 - 5*2 + q = 0
q = 6
Equation will be
x²- 5x + 6 = 0
The root of the given equation using the fraction method
x²- 3x - 2x + 6= 0
(x -2)(x - 3) = 0
The root of the given equation are 2 and 3
Therefore, In the given equation x²- 5x + q = 0 the value of q will be 4.
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having trouble with this, can anyone help?
(equation needs to be put in y=mx+b form)
Check the picture below.
Can you help me with this
1) Jesus has 100 and he expends 8 dollars every
day. How much money would he have left after 8.
days? Show all your work.
Answer: Jesus will have 36 dollars after 8 days
Step-by-step explanation: 8 x 8= 64
100-64=36
Is 0 the middle of a number line?
Zero is the middle point of a number line.
On the number line, all positive (natural numbers) numbers are on the right side of zero, while all negative numbers are on the left. A number's value lowers as we turn to the left. As an illustration, 1 is greater than -2.
A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. [1]
The integers are frequently represented as specially designated, uniformly spaced dots on a line. It is frequently employed as a teaching tool for basic addition and subtraction, particularly when negative numbers are involved.
The number line may also be referred to as a real line or real number line in advanced mathematics.
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Pleaseeee help asapppppp
Simplifying
0.75x + 1.2 = 0
Reorder the terms:
1.2 + 0.75x = 0
Solving
1.2 + 0.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.75x = 0 + -1.2
Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.75x = 0 + -1.2
0.75x = 0 + -1.2
Combine like terms: 0 + -1.2 = -1.2
0.75x = -1.2
Divide each side by '0.75'.
x = -1.6
cant find the anwer help
Answer:
Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?
Answer in explanation:
I went over it and your answer seems correct, but the problem says 'how much money, in dollars'
There are 12 months in a year
3 x 4 = 12
17,211 x 4 = 68,844
you wrote 67.844 so possibly changing to a comma would help!
I hope this helps!
these ar the numbers and i need the ratio
thank you!
help me please its due tomorrow !!!!!!!!!!
help please
ill get in trouble!!!!
Answer:
1:3
Step-by-step explanation:
30PTS 30PTS don’t explain just answer (it’s not 90)
Answer:
20
Step-by-step explanation:
110 -70 = 40 40/2= 20
Answer:
[tex] \sf \: x = {20}^{o} [/tex]
Step-by-step explanation:
Let's take the value of y as,
→ y = 90°
(Because, it is a right angle)
Forming the equation,
→ x + y + 70° = 180°
Now the value of x will be,
→ x + y + 70° = 180°
→ x + 90° + 70° = 180°
→ x + 160° = 180°
→ x = 180° - 160°
→ [ x = 20° ]
Hence, the value of x is 20°.
Write and solve an equation to find what fraction of the student f voted for fruit juice or water
If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;
the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;
the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is
⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]
substituting the values ,
we get the equation as ;
⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]
taking LCM as 4 and 6 as 12 and solving further ,
we get ;
⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .
Therefore , the fraction of fruit punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The given question is incomplete , the complete question is
About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .
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Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-Step Explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].
HELP ME NOW PLEASE DESCRIBE AND CREATE FRACTION PATTERNS
find the rule
1 3/8, 1 3/4, 2 1/8, 2 7/8
The missing term of the arithmetic sequence is 2 1/2
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the equation will be
A = 1 3/8 , 1 3/4 , 2 1/8 , x , 2 7/8
The first term a₁ = 1 3/8
The second term a₂ = 1 3/4
The common difference d of the arithmetic sequence d = second term - first term
Common difference d = 1 3/8 - 1 3/4 = 3/8
Now , the fourth term of the arithmetic sequence is given by
Tn = a + (n - 1) d
Substitute the values in the equation , we get
a₄ = 1 3/8 + ( 4 - 1 ) ( 3/8 )
a₄ = 11/8 + 9/8
a₄ = 20/8
a₄ = 2 4/8
a₄ = 2 1/2
Therefore , the fourth term is 2 1/2
Hence , it is an arithmetic sequence and the fourth term is 2 1/2
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How do you find the base and height of an isosceles triangle?
The base and height of an isosceles triangle can be found by using the Pythagorean theorem.The hypotenuse is also the base of the triangle.
First, you need to determine the length of the two sides that are equal, which are referred to as the "legs" of the triangle. Then, use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the triangle.
Once you have determined the length of the hypotenuse, the height of the triangle can be found using the formula, h = √(b^2 - (l/2)^2). In this formula, b is the length of the hypotenuse, and l is the length of the legs.
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Is y 2x 3 in slope intercept form?
Answer:
y=2x+3
Step-by-step explanation:
y=mx+b
y=2x+3