For the following figure, complete the statement for the specified points.
Points A, S, Q, and R are _____.
collinear
coplanar
both collinear and coplanar
neither collinear nor coplanar
Answers
Answer:
D. Neither collinear nor coplanar
Step-by-step explanation:
We know that,
Collinear points - are the points which lie in the same straight line.
Coplanar points - are the points which lie in the same plane.
From the figure, we see that,
The points A, S, and R lie in the same line but Q does not lie in the same line.
The points A and Q lie in the same plane but others do not lie in the same plane.
Hence, we get,
These points are neither collinear nor coplanar.
Thus, option D is correct.
Related Questions
Solve for x. x−14=38 Enter your simplified answer in the box.
Answers
x - 14 + 14 = 38 + 14
x = 52
Answer:
52
Step-by-step explanation:
Find the average rate of change of the function defined by the following table.
x y
-2 -5
2 35
6 75
10 115
Answers
A careful examination of the data in the table shows that for each 4 unit increase in x, y increases by 40.
It's valid to surmise that the average rate of change is 40/4, or 10. This is the slope of the line thru the given points.
Answer:
1/10
Step-by-step explanation:
The x goes up by 4 and the y goes up by 40
= 4/40 = 1/10
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What is the area of the rectangle?
60 units²
66 units²
70 units²
74 units²
Answers
The graph of f(x) = 2^x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
Answers
A figure drawn in the coordinate plane has the coordinates J(‒1,5), K(6,5), L(9,1) and M(2,1).
1) Use what you have learned in this unit to prove that the figure is either a parallelogram, rectangle, square or a rhombus.
2) Use what you have learned in this lesson to find the area and perimeter of the figure.
Answers
The 2 horiz. lines in this figure are y=1 and y=5. The distance between these two y-values is the "width" of the parallelogram: width=4.
The 2 slanted lines have what length? Hint: What is 9-2? What is 6-(-1)?
The area of this parallelogram is = to the product of the width (4) and the length (7).
How do you find the length of the slanted end lines? You must know this fact to find the perimeter of this parallelogram.
We can easily count the dimensions from the x and y values.
From the Pythagorean Theorem, we can calculate the sides equaling 5 and the top and bottom each measure 7.
The perimeter = 5 * 2 + 7 * 2 = 24
area = height * top (or bottom) length
area = 4 * 7 = 28
2x-1
Evaluate the algebraic expressions for the given values of the variable
Answers
joanna bought 1 1/2 pounds of apples, 3/4 pounds of strawberries, 1/2 pound of grapes, 1 3/4 pounds of oranges, and 1 1/4 pounds of pears. How many pounds of fruit Joanna bought in all?
Answers
apples- 1.5
strawberries- 0.75
grapes- 0.50
oranges- 1.75
pears- 1.25
add all these together and you get 5.75 pounds of fruit in total
if you desire to have your answer as a fraction the fraction for 5.75 would be 5 75/100 simplified to 5 3/4
Your answer is 5.75 or 5 3/4
Greg, marcia, peter, jan, bobby and cindy go to a movie and sit next to each other in 6 adjacent seats in the front row of the theater. if marcia and jan will not sit next to each other, in how many ways different arrangements can the 6 people sit?
Answers
6! ways but you know that marcia and jan will not sit together.
Write out this, as: G, (M, J), B, P <-- M and J (Marcia and Jan are grouped together to find the ways they will be sat together, so we can subtract this away).
In this combination, considering M and J as one, you have 5! ways. Then you see that M and J can switch position, so there would be added 2! ways.
In total, possibility of J and M to sit together is 5!2!
6!-5!2!
=720-240
= 480 possible ways of seating the friends so that Jan and Marcia are not together.
Hope I helped :)
ROUND 4,719,429 TO THE NEAREST 10,000
Answers
round up if 5 or over, round down if 4 or under
Sort the sequences to whether they are arithmetic, geometric, or neither
1) 98.3 , 94.1 , 89.9 , 85.7
2) 1 ,0 , -1 ,0
3) 1.75 , 3.5 , 7 ,14
4) -1 ,1 , -1 ,1
5) -12, -10.8, -9.6, -8.4
Answers
her answer is right but you just have to switch 4 and 5 around 4 is geometric while 5 is arithmetic
Final Answer:
Each sequence is tested for a common difference or ratio to determine if it is arithmetic or geometric. The sequences 98.3, 94.1, 89.9, 85.7 and -12, -10.8, -9.6, -8.4 are arithmetic, 1.75, 3.5, 7, 14 is geometric, and 1, 0, -1, 0 as well as -1, 1, -1, 1 are neither.
Explanation:
To determine if a sequence is arithmetic, geometric, or neither, we look for a common difference or ratio between consecutive terms.
For the sequence 98.3, 94.1, 89.9, 85.7, we subtract consecutive terms: 94.1 - 98.3 = -4.2, 89.9 - 94.1 = -4.2, 85.7 - 89.9 = -4.2. The common difference is -4.2, so this sequence is arithmetic.The sequence 1, 0, -1, 0 does not have a common difference or ratio, so it is neither arithmetic nor geometric.For 1.75, 3.5, 7, 14, the ratios are 3.5/1.75 = 2, 7/3.5 = 2, and 14/7 = 2. The common ratio is 2, so this sequence is geometric.The sequence -1, 1, -1, 1 alternates signs without a common difference or ratio, so it is neither.For the sequence -12, -10.8, -9.6, -8.4, the difference is -10.8 - (-12) = 1.2, -9.6 - (-10.8) = 1.2, -8.4 - (-9.6) = 1.2. The common difference is 1.2, making it an arithmetic sequence.Jacob held different part-time jobs during his summer holiday. The table below shows the total money he earned for different amounts of time, in hours: Hours Worked 1 2 3 4 5 6 7 8 9 Money Earned (dollars) 4 8 12 16 20 24 28 32 36 What type of association will the scatter plot for this data represent between the number of hours worked and the total money earned?
Answers
The type of association scatter plot for this data represents the number of hours worked and the total money earned is a positive correlation.
How to find the type of association that represent the data?The number of hours and the amount of money increases at an even rate, 4 dollars for each hour.
The given table;
Hours Worked 1 2 3 4 5 6 7 8 9
Money Earned (dollars) 4 8 12 16 20 24 28 32 36
We can see here as the number of hours increases the amount of money is increasing, so it indicates that there is a positive association.
Also, there is an unequal change in equal intervals of time, so it represents a positive nonlinear association.
Hence, the graph is a line, y=4x,
The type of association scatter plot for this data represents the number of hours worked and the total money earned is a positive correlation.
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whats the bisector of an obtuse angle forms
acute angles
right angles
obtuse angles
straight angles
Answers
Answer:
A.Acute angle
Step-by-step explanation:
We are given that an obtuse angle
We have to find that which type of angle of bisector of an obtuse angle.
Bisector of an obtuse angle means it is divided into two equal parts.
Obtuse angle is that angle whose measurement is greater than 90 degrees and less than 180 degrees.
Suppose, we have an obtuse angle =100 degrees
After bisection , it divides into two equal parts
Let x and x are two equal parts of given obtuse angle
[tex]x+x=100[/tex]
[tex]2x=100[/tex]
[tex]x=\frac{100}{2}=50[/tex]
Each angle measurement=50 degrees < 90 degrees
The angle which is less than 90 degrees and greater than zero degrees is called acute angle.
Hence, the bisector of an obtuse angle forms acute angles.
Answer:A.Acute angle
Anna is selling tickets to her tennis tournament. An adult ticket costs $20 and a student ticket costs $16. Anna collects $1020 for a total of 55 tickets. How many adult and how many student tickets has Anna sold?
Answers
Anna sold 35 adult tickets and 20 student tickets.
Explanation:Let's assume that Anna sold x adult tickets and y student tickets. From the given information, we can form the following equations:
Equation 1: x + y = 55 (total number of tickets)
Equation 2: 20x + 16y = 1020 (total amount collected)
We can solve this system of equations using the substitution method or the elimination method. Let's use the elimination method. First, multiply Equation 1 by 16 so that the coefficients of y cancel out when added to Equation 2:
16x + 16y = 880 (equation obtained by multiplying Equation 1 by 16)
20x + 16y = 1020 (Equation 2)
Now subtract Equation 1 from Equation 2:
20x + 16y - (16x + 16y) = 1020 - 880
4x = 140
Divide both sides of the equation by 4:
x = 35
Substitute the value of x into Equation 1:
35 + y = 55
y = 55 - 35
y = 20
simplify ( 1/2A + 1/2B )^2
Answers
Thus, the given expression can be re-written as [(1/2)(A+B)]^2.
Square the (1/2) and the (A+B) separately, and then multiply together the resulting squares:
(1/4)(A^2 + 2AB + B^2)
___+ ___+ ___
4 2 4
this is your answer
if x is 50 then what is x4+44+3.5
Answers
_______________________________
Explanation:
________________________________
Given: " x⁴ + 44 + 3.5 " ; and given: "x = 50" ;
we can plug in "50" for "x" ; and solve:
________________________________________
10⁴ + 44 + 3.5 ;
= 10,000 + 44 + 3.5 ;
= 10,047.5
________________________________________
Ann and betty shared the sum of money in the ratio 2:3, if ann received $60 less than betty, what was the total sum of money shared
Answers
Happy Halloween:)
I think that would be the answer.
Hope this helped ☺
A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How many hours must a service call be for it to be better for you to call A1 Plumbing Service?
Answers
A1 = 35x+25
Good guys = 40x
35x+25 = 40x
subtract 3x x from each side
25 = 5x
divide each side by 5
x = 25/5 = 5
so 5 hours they would be the same cost, anything over 5 hours and A1 would be better
so X>5 for A1 to be the better price
Which should be the first step in solving the equation 1.2 w -3.8= 12.4
1. Add 3.8 to both sides of the equation.
2. Subtract 1.2 from both sides of the equation.
3. Multiply both sides of the equation by 1.2.
4. Divide both sides of the equation by 3.8.
Answers
Answer:
Option 1 - Add 3.8 to both sides of the equation.
Step-by-step explanation:
Given : Equation [tex]1.2w-3.8=12.4[/tex]
To find : Which should be the first step in solving the equation?
Solution :
Equation [tex]1.2w-3.8=12.4[/tex]
Step 1 - Adding 3.8 both side,
[tex]1.2w-3.8+3.8=12.4+3.8[/tex]
[tex]1.2w= 16.2[/tex]
Step 2 - Divide 1.2 both side,
[tex]\frac{1.2w}{1.2}=\frac{16.2}{1.2}[/tex]
[tex]w=13.5[/tex]
Therefore, The first step in solving the equation is 'Add 3.8 to both sides of the equation.'
So, Option 1 is correct.
A translation of directed line segment from the origin to (0,-3) followed by a reflection around the line y=x
Answers
To translate a directed line segment from the origin to (0,-3), simply subtract 3 from the y-coordinate. To reflect a point across the line y=x, swap the x and y coordinates. The reflected point of (0,-3) would be (-3,0).
Explanation:To translate a directed line segment from the origin to (0,-3), we can simply subtract 3 from the y-coordinate. The new coordinate would be (0,-3).
To reflect a point across the line y=x, we swap the x and y coordinates. So the reflected point of (0,-3) would be (-3,0).
Please Hurry!! Use any model you choose to solve the story problem. Macy is making a border out of strips of wall boarder placed end to end along the 12-foot wall in her room. Each strip 1/3 is foot long. How many strips of wall border will Macy need?
Answers
Macy needs 36 strips of wall border to cover a 12-foot wall, calculating by multiplying the wall's length by the reciprocal of 1 strip's length.
To solve how many strips of wall border Macy will need, we divide the total length of the wall by the length of each strip. Macy's wall is 12 feet long, and each strip is 1/3 foot long. So, we divide 12 by 1/3 or multiply 12 by the reciprocal of 1/3.
Here is the calculation step by step:
Convert 1/3 to its reciprocal by flipping the numerator and denominator, which gives us 3/1 or just 3.Multiply the length of the wall, 12 feet, by 3.12 * 3 = 36Macy will need 36 strips of wall border to cover the 12-foot wall.
Manuel rode his bicycle at an average speed of 13 miles per hour for 1 hours. of d = the total distance he rode, which choice is the most reasonable value for d?
Answers
The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
Answers
Answer:
[tex]w=\frac{V}{lh}[/tex]
Step-by-step explanation:
As per the statement:
The volume of a rectangular prism is calculated using the formula:
[tex]V = lwh[/tex] ....[1]
where, V is the Volume of the prism
l is the lenght
w is the width
h is the height of the prism respectively.
We have to Rewrite the formula to find the width of the base of the prism.
Divide equation [1] by [tex]lh[/tex] to both sides we have;
[tex]\frac{V}{lh} = \frac{lwh}{lh}[/tex]
Simplify:
[tex]\frac{V}{lh} = w[/tex]
or
[tex]w=\frac{V}{lh}[/tex]
Therefore, the the formula to find the width of the base of the prism,if the volume, length of the base, and height of the prism are already known is:
[tex]w=\frac{V}{lh}[/tex]
To find the width of a rectangular prism when the volume, length, and height are known, you can rearrange the formula V = lwh to solve for width, resulting in the formula w = V / (lh).
Explanation:The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height. If we know the volume (V), the length of the base (l), and the height of the prism (h), and we want to find the width (w), we can rearrange the formula to solve for width.
To do this, you divide both sides of the equation by the length and the height. As a result, the formula to find the width when the volume, length, and height are known is w = V / (lh). By dividing the volume by the product of the length and the height, you can find the width of the base of the prism.
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How to order decimals from least to greatest with different decimals places?
Answers
Mateo is draining a pool at a rate of 1/8 of a gallon every 1/2 hour. If he continues to drain the pool , how much waters will be drained in 1 hour?
Answers
Mateo will drain 2/8 (simplified: 1/4) of a gallon in one hour.
2(1/8) gallon 1/4 gallon
----------------- = ---------------- = 1/4 gallon per hour
2(1/2) hour) 1 hour
Can you guys please help me with math? (Pt 2.)
(I've attached the picture)
Elian is placing a rectangle in the coordinate plane. He knows that the shorter side of the rectangle is half the length of the longer side. He places the longer side on the x-axis.
What coordinates should he assign to the top-left vertex of the rectangle?
Enter your answer in the boxes.
Answers
it didnt move left or right on the x-axis
it went up a units (since its half of 2a)
Let
x--------> the length side of the rectangle
y-------> the width side of a rectangle
we know that
[tex]y=\frac{1}{2}x[/tex] ------> equation A
[tex]x=2a\ units[/tex] ---------> given problem (see the graph)
substitute the value of x in the equation A
[tex]y=\frac{1}{2}2a=a\ units[/tex]
therefore
the answer is
the top-left vertex of the rectangle is the point [tex](0,a)[/tex]
Divide. (359)÷(−223) Enter your answer as a mixed number, in simplified form,
Answers
Answers
the answers is-3.245 hope this helps subscribe to my channel Elite_Raider Perez
Answer:
-3.245 I hope this helped hun! :3
Ingrid is making a quilt using squares that measure 5in on each side. What is the length of a diagonal of one of the quilt squares?
Answers
hope this helps! :)
Answer:
8.7 Maybe.
Step-by-step explanation:
Ms. Frazier chooses two students to come to the board from a class of 12 boys and 8 girls. What is the probability that she will select a girl student first and a boy student second?
Answers
The probability that Ms. Frazier selects a girl first and a boy second from her class is 24/95, calculated by multiplying the probability of selecting a girl (8/20) by the probability of selecting a boy thereafter (12/19).
Explanation:To calculate the probability that Ms. Frazier will select a girl student first and a boy student second from her class of 12 boys and 8 girls, we need to use the concept of conditional probability because the selection of the second student depends on the first.
The total number of students is 12 boys + 8 girls = 20 students. The probability of selecting a girl first is the number of girls divided by the total number of students, which is 8/20. Once a girl is selected, there are now 19 students left. The probability of selecting a boy next is the number of boys left (which is still 12) divided by the new total, which is 12/19. The joint probability of both events happening in succession (selecting a girl then a boy) is found by multiplying the probabilities of the two individual events.
So, the probability of selecting a girl first and a boy second is (8/20) × (12/19) = 96/380. This simplifies to 24/95 when we divide both numerator and denominator by 4.
Therefore, Ms. Frazier has a probability of 24/95 to choose a girl first and a boy student second.
The probability of selecting a girl student first and a boy student second is approximately 0.2526.
Explanation:To find the probability of selecting a girl student first and a boy student second, we need to calculate the probability of each event separately and then multiply them together.
Step 1: Probability of selecting a girl student first
Number of girls: 8Total number of students: 12 boys + 8 girls = 20Probability of selecting a girl student first = Number of girl students / Total number of students = 8/20 = 0.4Step 2: Probability of selecting a boy student second
Number of boy students: 12Total number of students after selecting a girl student: 20 - 1 = 19Probability of selecting a boy student second = Number of boy students / Total number of students after selecting a girl student = 12/19 ≈ 0.6316Step 3: Multiply the probabilities from Step 1 and Step 2:
Probability of selecting a girl student first and a boy student second = Probability of selecting a girl student first × Probability of selecting a boy student second = 0.4 × 0.6316 ≈ 0.2526What is a correct congruence statement for the triangles shown?
Suppose △AYH≅△ZRL.
What is the corresponding congruent part for each segment or angle?
ZR¯¯¯¯¯
RL¯¯¯¯¯
∠L
∠Z
ah_____ yh___ ay__
Answers
Sand dollars are animals that live buried in the sand of shallow coastal waters. The thin circular body of a sand dollar is usually 2 to 4 inches wide. Find the area of a sand dollar that is 3 inches wide.
Answers
The diameter is twice the area.
The diameter is the width of a circle.
This means the radius is (3/2).
A = π(3/2)^2
A = π(9/4)
A = 9π/4
A = 7.0685834706
A = 7.07
Answer:
The area of a sand dollar that is 3 inches wide is [tex]7.0686 inch^2[/tex]
Step-by-step explanation:
Width of sand dollar's circular body = d = 3 inches
Radius of the sand dollar's circular body = r
[tex]r=\frac{d}{2} = \frac{3 inch}{2}=1.5 inches[/tex]
Area of circle = [tex]\pi r^2[/tex]
So, the area of a sand dollar that is 3 inches wide:
[tex]A=3.14\times (1.5 inch)^2=7.0686 inch^2[/tex]
The area of a sand dollar that is 3 inches wide is [tex]7.0686 inch^2[/tex]