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?
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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helpppp please... need to get this doneeee
Answer:
if this is iready
Step-by-step explanation:
the answer is
the third one
If f(x)=12(4−x), then what is f(−6)?
Answer:
f(-6)= 120
Step-by-step explanation:
f(x)=12(4-x)
f(-6)=12(4-(-6))
f(-6)=12(10)
f(-6)=120
A cylinder has a circular base radius 14cm and height of 10cm.Find the total surface area of the cylinder. [take pie 22/7] *
Answer:
ii) curved surface area =2 pie rh
2*22/7*14*21
1548 cm2
iii) total surface area=2 pie r(r+h)
2*22/7*14(14+21)
2780
iv) volume of cylinder=pie r2h
22/7*14*14*21
12936 ans
Step-by-step explanation:
Answer:
As = 2112 cm²
Step-by-step explanation:
given:
A cylinder has a circular base radius 14cm and height of 10cm.
find:
the total surface area of the cylinder. [take pie 22/7] *
solution:
surface area (As) = 2πrh + 2πr²
where r = 14 cm; h = 10 cm; π = 22/7
plugin values into the formula:
As = 2 (22/7) 14 (10) + 2 (22/7) 14²
As = 880 + 1232
As = 2112 cm²
Imagine she found 100 worms of the same length as she found on Tuesday. What would the total length of the 100 worms be? (write the numerical answer only.)
Step-by-step explanation:
you didn't give us the full question. what were the lengths of the worms found on Tuesday?
DeAnna had $23 to spend on two pencils. After buying them she had $17.
How much did each pencil cost?
Answer:
$3
Step-by-step explanation:
23-6=17 well 6÷2=3 so that means that it equals $3
The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you se regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers.
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.
Difference between the points of intersection of A, B and C-All the points of intersection of given angle A, B and C keeps the different value as all the sides of the triangle is not equal.
The differences in terms of the angles-
The length of the angle C using the above formula,
[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]
Similarly, the measure of angle B,
[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]
The measure of angle A,
[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]
The length of the side opposite each angle-The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.
The pattern regarding the measurements-All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.
Situation in which all the points of intersection resemble one another-When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.
Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
Learn more about the law of cosine here;
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What is 15% of $79.99?
Answer:
11.9985
Step-by-step explanation:
79.99 x .15 = 11.9985
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get
[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]
[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex] (adding the second equation to the first one)
[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]
7x + 2x - 3x idk it give me a hand
Answer:1x
Step-by-step explanation:
Answer:
the answer is 6x
is -3.16227766017 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
If the given decimals are all there is, then you can express this number as a ratio (=fraction), i.e.,:
[tex]\frac{-316227766017}{100000000000}[/tex]
Please Help! 7+b=b+7
Answer:
Yes, 7+b=b+7
Step-by-step explanation:
It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.
Hope this helps!
Answer:all real numbers are solutions
Step-by-step explanation:
a high school football player is practicing his frield goals kicks. The equation h=-9t²+45t where t is the number of seconds gone by and h is the height of the ball in feet. how long does it take for the ball to hit the ground
h = -9t^2 + 45t
First, let's factor the equation.
h = -9t(t - 5)
Let's set both terms equal to zero.
-9t = 0
Divide both sides by -9
t = 0
t - 5 = 0
Add 5 to both sides.
t = 5
We know that it took more than 0 second sto hit the ground, therefore, the only answer that makes sense is t = 5
It took 5 seconds for the football to hit the ground.
Teri,Jannae and Abi recieve £200,£350 and £450 respectively as their dividends in a joint investment
write the ratio of their dividends in its lowest terms
Answer:
4 : 7 : 9
Step-by-step explanation:
The ratio of their dividends is
200 : 350 : 450 ← divide each part by 50
= 4 : 7 : 9 ← in simplest form
Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.
Answer:
about 39%
Step-by-step explanation:
In order to find the percent, you need to find the total amount of games they played first.
9 games + 7 games + 2 games = 18 games total
Divide the number of games they won by the total amount of games they played:
7 games / 18 games = about 39%
solving multistep linear equations and inequalities
help me please
Answer:
Step-by-step explanation:
Part A:
C = 10t + s
Part B:
10(3) + 8
30 + 8 = $38
Please help me ASAP 100 PTS
Answer:
The second choice
Step-by-step explanation:
Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.
Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8
The answer is B.P=9.4 m, A 48m^2
train can travel 1136 miles in 4 hours. What is the unit rate that this train is traveling per hour
Answer:
4544
Step-by-step explanation:
1136 *4 = 4544
Diane delivers newspapers for $5 a day plus $0.04 per
newspaper delivered. Jeremy delivers newspapers for $2 a
day plus $0.10 per newspaper delivered. How many
newspapers would Diane and Jeremy each need to deliver in order to earn the same amount?
30
75
83
50
Answer:
50
Step-by-step explanation:
For x number of newspapers, their earnings are:
D = 5 + 0.04x
J = 2 + 0.10x
5 + 0.04x = 2 + 0.10x
3 = 0.06x
x = 50
Question 1 is points) If point A is (3.1). What is it's new position after x --> {X-3. y - 1). 0 (0.0) (62) (2-2) 01-3-1)
Answer:
(0,0), or A
Step-by-step explanation:
Given the function { x - 3, y - 1 }:
[tex](3 -3, 1-1)=(0,0)[/tex]
Equations: -5n=1 n+15= (-10) n/5 = -1/5 n-13= -12 Solutions n= -25 n= -1/5 n= -1 n=1 Match each equation with it's solution
Answer:
-5n = 1 ⇒ n = -¹/₅ n+15 = (-10) ⇒ n = 25 n/5 = -1/5 ⇒ n = -1 n-13= -12 ⇒ n = 1Step-by-step explanation:
-5n = 1
÷(-5) ÷(-5)
n = -¹/₅
n + 15 = (-10)
-15 -15
n = -25
n/5 = -1/5
×5 ×5
n = -1
n - 13 = -12
+13 +13
n = 1
Answer:
-5n = 1 : n = -¹/₅
n+15 = (-10): n = -25
n/5 = -1/5 : n = -1
n-13= -12: n = 1
If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.
Answer:
x = 6
Step-by-step explanation:
Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,
PR = PQ + QR
Putting the given values of PQ ,QR & PR
=> 4x - 12 + 2x + 7 = 31
=> 6x - 5 = 31
=> 6x = 31 + 5
= 36
=> x = 36/6 = 6
Carson bought 2.5 pounds of gummy bears for $2.75 per pound. How much did he spend on gummy bears? (Round your answer to the nearest hundredths place.) Please help meeeeeeee
Factoring Completely:
x^2-16x+48
Answer:
(x - 12)(x - 4)
Step-by-step explanation:
Given
x² - 16x + 48
Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)
The factors are - 12 and - 4, since
- 12 × - 4 = + 48 and - 12 - 4 = - 16 , thus
x² - 16x + 48 = (x - 12)(x - 4) ← in factored form
Find the slope of the following lin
y = 4x
Gradient = slope
Gradient = 4
It takes 2 finish carpenters 8 days to do the work. Each finsh carpenter ears $37.50 per hour and works 7 hours per day. How much will it cost to hire the finish carpenters?
Answer:
Total cost= $4,200
Step-by-step explanation:
Giving the following information:
It takes 2 finish carpenters 8 days to do the work.
Each finish carpenter ears $37.50 per hour and works 7 hours per day.
To determine the total cost, first, we need to structure the total cost formula:
Total cost= 2*(37.5x)
x= total number of hours
Now, for 8 days:
Total hours= 8*7= 56
Total cost= 2*(37.5*56)
Total cost= $4,200
which phrase should be inserted on the line to correctly compare the two factions 4/5 + 16/20 a is greater than B cannot be compared C is less than and D is equal to
First, let's reduce our fractions to their simplest forms.
4/5 is already in its simplest form
16/20 = 4/5.
Now that both of por fractions are in their simplest forms, let's compare them.
4/5 is equal to 4/5
D is the correct answer.
Answer: C. is less than
Step-by-step explanation: the person above me is wrong
What is the value of n |n|=5
Answer:
N x lNl=5 answer is -5
Step-by-step explanation:
Took the test today
Answer:
Step-by-step explanation:
Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose (-2,4) (-2,0) (6,4) (6,0)
Answer:
The coordinate of B is (6,0)
Step-by-step explanation:
Given;
coordinate of A = (-4,2) = (x₁, y₁)
coordinate of M = (1,1)
let coordinate of B = (x₂, y₂)
Mid-point is given by;
[tex]M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)[/tex]
Therefore, the coordinate of B is (6,0)
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = −m − a n=a+m n = a − m
Answer:
n = m − a
Step-by-step explanation:
Given:
a = m - n
Where,
a = Actual cost an item
m = Original price
n = amount of coupon
Solve the formula for the amount of the coupon
a = m - n
Add n to both sides
a + n = m - n + n
a + n = m
Subtract a from both sides
a + n - a = m - a
n = m - a
Amount of coupon, n = Original price of an item, m - Actual cost of an item, a