The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
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Answer:
Parallel lines requires the terms line and plane because line and plane that are parallel cannot cross each other therefore they will never make a point of intersection. The characteristics of that parallel lines consists of lines and planes. Perpendicular lines requires the terms line and point because whenever two lines intersect, it creates a point and whenever two planes intersect, it creates a line. The characteristics of that perpendicular lines are points and lines.
The characteristics of the geometric figures that create the different requirements are;
Parallel lines are lines on the same plane and that are equidistant from each otherPerpendicular lines are lines that form a 90 degree angle at the point of their intersection.Reasons:
The characteristics of parallel lines are;
The shortest distance between the lines that are parallel is the same at all points along the lines.The lines are on the same plane.As the plane is extended indefinitely, the lines do not intersect.The characteristics of perpendicular lines are;
Perpendicular lines are lines that intersect at a point.Where two lines are perpendicular, the slope of one line is the negative reciprocal of the other, such that the product of the slopes of two lines that are perpendicular is -1.The angle formed at the intersection of perpendicular lines is 90°.An horizontal and a vertical line on the same plane are perpendicular to each other.Therefore, the characteristics of the geometric figures that create the different requirements are;
Parallel lines are lines on the same plane.Perpendicular lines are lines that form a 90 degree angle at the point of their intersection.Learn more about parallel and perpendicular lines here:
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Liam has 9/10 liter of liquid for a science experiment. He pours the liquid into test tubes that hold 1/15 liter. How many test tubes can Liam completely?
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Compare the ratios from the tables. 2:3 is ___ 5:6 10:12 is ___ 6:9 The ratios in Table 1 are ___ the ratios in table 2.
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Answer:
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Step-by-step explanation:
Answer:
1) less than
2) greater than
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Step-by-step explanation:
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Is this sentence true or false? 2(x+8) = 2x - 8
Answers
Answer:
FALSE
Step-by-step explanation:
Applying the distributive property on the left side gives ...
2x +16 = 2x -8
Subtracting 2x from both sides gives ...
16 = -8 . . . . a FALSE statement
The given statement is false.
_____
When an algebraic equation is transformed according to the properties of equality, the truth of it does not change.
if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight
Answers
Answer:
The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.
Step-by-step explanation:
Let the weight of the lighter person be 1 unit.
The weight of the heavier person will be [tex]1\times 5=5u[/tex]
Total weight: [tex]1u+5u=6u[/tex]
6 units = 132
Divide 6:
[tex]1u=\frac{132}{6}[/tex]
[tex]1u=22[/tex]
The weight of the lighter person is 22 pounds.
Weight of the heavier person [tex]= 5\times 22=110[/tex]
The weight of the heavier person is 110 pounds.
Step-by-step explanation:
someone= 5x
someone + x= 132
5x + x = 132
6X=132
x=22
One person ("someone") weighs x× 5 = 110.
the other person ("x) weighs x = 22
if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128
Answers
Answer:
56
Step-by-step explanation:
a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) = -16x^2 + 10x + 100, where x is time in seconds. during which interval is the diver at least half way down
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Answer:
2.1 < x < 2.5 seconds
Step-by-step explanation:
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I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
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Answer:
They should all be true because she is 56 inches tall and the minimum for the roller coasters is 54 inches. So its probably the same minimum for the drop tower.
Step-by-step explanation:
Answer:
a. True
b. True
c. True
d. True
Step-by-step explanation:
all true because the min height to ride the drop tower is 51 in
and the roller coaster is almost the same as 51 in.
if Cindy is 56 in high, then Cindy can ride both the roller coaster and the drop tower.
PLEASE HELP!!! Write a quadratic equation if its roots are: [tex]\sqrt{3} -1/2[/tex] and [tex]\sqrt{3} +1/2[/tex]
Answers
Answer:
x²- √3 x +1/2
Step-by-step explanation:
To write a quadratic equation with roots only:
x² -(sum of the roots)x+(product of roots)
x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)
x² -(2√3)/2 + ( 9-1)/4
x²- √3 x +1/2
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates after both reflections are what
Answers
Answer:
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
Step-by-step explanation:
Let be a point [tex](a,b)\in\mathbb{R}^{2}[/tex], reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:
[tex]d = d'[/tex]
[tex]b - 0 = 0 - b'[/tex]
[tex]b' = -b[/tex]
y-Axis reflection:
[tex]d = d'[/tex]
[tex]a - 0 = 0 - a'[/tex]
[tex]a' = -a[/tex]
If we know that [tex]X (x,y) = (3,2)[/tex], [tex]Y(x,y) = (5,-1)[/tex] and [tex]Z (x,y) = (-2, 3)[/tex], the coordinates after both reflections are, respectively:
[tex]X'(x,y) = (-3,-2)[/tex]
[tex]Y' (x,y) = (-5,1)[/tex]
[tex]Z'(x,y) = (2,-3)[/tex]
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
please help algebra 2 question D:
Answers
First, let's let's evaluate the numerator and denominator separately.
The numerator: (-2)^2(3)(4) - (-1) = 48 + 1 = 49
The denominator: (-2)^2 = 4
Now that the numerator and denominator are simplified, let's take the square root of 49/4
sqrt(49/4) = 3.5
the school environment science club has $500 of funds. each time they go on a field trip. it costs them $80. Write an algebraic expression that represents the money the club has after going on x field trips
Answers
Answer:
500 ÷ 80=x
Step-by-step explanation:
If the school environment science club has $500 of funds and it cost $80 divide 500 and 80 and it should give you your answer.
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Answers
c= the square root of (x1-x2)^2 + (y1-y2)^2
Therefore ...
(8-2)^2 + (2-9)^2
6^2 + (-7)^2
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Square root of 85= 9.22 approx.
Hence, the distance between the two points is 9.22
Everyday my cousin and I played a game of chess. To make it interesting, whoever lost the game owes a chocolate to the other. We played many games of chess over many days. After the last game we played, we counted the number of games each of us had won and lost. Since I won more than her, she handed me 29 chocolates, even though she did win 5 games. How many total games did we play?
Answers
Answer:
34, I think.
Step-by-step explanation:
if you have 29 chocolates, and she won 5, 29+5 equals 34
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Answers
Answer:
7.390
Step-by-step explanation:
Answer:
7.39
Step-by-step explanation:
The hundredths place of 7.393 is the 9.
To round off to the nearest hundredth, drop all decimal place to the right of the hundredths place.
7.39
Since the first dropped digit to the right of the 9 is a 3, we keep the 9 as is.
Answer: 7.39
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Answers
Answer:
The answer is on point (3,1)
Answer:
(-4,8) and (-4,-6)
Step-by-step explanation:
As you can see, in the answer I have provided above, the x-coordinates are the same and these points are 7 units away from point D as well.
PLEASE MARK ANSWER AS BRAINLIEST!!!Write the expression as a decimal number.
5×1+1×
1
10
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1
100
+6×
1
1000
=
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Answer:
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Answer:
-11, -2, 3, 6
-16, -5, 21, 29
Step-by-step explanation:
Answer:
You are almost correct
2. -11, -2, 3, 6
3. -16, -5, 19, 21
Step-by-step explanation:
This is the answer because:
1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have
2) Therefore, the answers would be
2. -11, -2, 2, 6
3. -16, -5, 19, 21
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Answer:
400 miles
Step-by-step explanation:
x - miles driven
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60 + 0.90x - a day cost of renting from B
140 + 0.7x = 60 + 0.9x
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80 + 0.7x = 0.9x
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Answers
Answer:
k = 24
Step-by-step explanation:
Step 1: Write equation
k/12 = 2
Step 2: Multiply 12 on both sides
k = 24
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Answer:
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Step-by-step explanation:
4960-
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When it’s Area you multiply the numbers
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6-4(2x-3)+10x
Show and explain work
Answers
Answer:
18+2x
Step-by-step explanation:
6-4(2x-3)+10x
6-8x+12+10x multiply 2x-3 by -4
18+2x combine like terms
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What is the greatest common factor (gcf) of 56 and 98
Answers
Answer: The greatest common denominator is 14
Select the decimal that is equivalent to
8
Choose 1 answer
A 0.767
B
0.767
С
0.875
D
0.875
E
None of the above
Answers
Answer:
NONE OF THE ABOVE (E).Step-by-step explanation:
8 is a whole number.
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combining like terms with negative coefficients and distribution
-2(2x+4)?
Answers
Answer:
-4x - 8
Step-by-step explanation:
Step 1: Write out expression
-2(2x + 4)
Step 2: Distribute -2
-4x - 8