In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Answers
Answer:
OP = 4
Step-by-step explanation:
N is the midpoint of MO.
Since NO = 3, then MN = 3, and MO = 3 + 3 = 6
MO + OP = MP
6 + OP = 10
OP = 4
A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given the following details as:
O is between M and P.N is the midpoint of MO. NO=3 and MP = 10.Now, from the figure, We have,
Since O is between M and P and N is the midpoint between MO
MP = MN + NO + OP _____(1)
Now,
N is the midpoint of MO so,
MN = N0
N0 = 3 and MP = 10 ____(2)
MN = NO = 3 _______(3)
From (1)
MP = MN + NO + OP
Substituting (2) and (3) in (1)
10 = 3 + 3 + OP
10 = 6 + OP
Subtracting 6 on both sides
10 - 6 = 6 + OP - 6
4 = OP
OP = 4
Thus, OP = 4.
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Related Questions
9.
An amusement park charges $15 for admission and $1.50 for each ride. You go to the park with $30. Write and
solve an inequality that represents the possible number of rides you can go on.
Answers
Answer: 15+1.50x ≤ 30 ; less than or equal to 10 rides
Step-by-step explanation:
Subtract 15 on both sides. 15+1.50x ≤ 30Divide 1.50 on both sides. 1.50x ≤ 15x ≤ 10Solve the inequality
2(4+2x)≥5x+5
Answers
x ≤ 3
x ∈ [ 3 ; +oo )
Step-by-step explanation:2(4 + 2x) ≥ 5x + 5
8 + 4x ≥ 5x + 5
8 - 5 ≥ 5x - 4x
3 ≥ x
x ≤ 3
x ∈ [ 3 ; +oo )
Gershon lives 3 10 mile from the soccer fields. How far does Gershon walk if he walks from home to the soccer fields and back home? How many miles did he walk
Answers
Answer:
Gershon walked 620 mile
Step-by-step explanation:
From the question,
Gershon lives 310 mile from the soccer fields,
This means the distance from where Gershon lives to the soccer fields is 310 mile.
Likewise, the distance from the soccer fields to where Gershon lives his as well 310 mile.
So, if Gershon walks from his home to the soccer fields, he will cover a distance of 310 mile.
Then, if Gershon walks back home from the soccer fields, he will cover another distance of 310 mile.
Now, To determine how many miles he walked,
Total number of miles Gershon walked = The distance from where Gershon lives to the soccer fields + The distance from the soccer fields to where Gershon lives
Hence, Total number of miles Gershon walked = 310 mile + 310 mile
Total number of miles Gershon walked = 620 mile
Hence, Gershon walked 620 mile
What is the simplest form of 63/91
Answers
Answer:
Step-by-step explanation:
9/13
divide them by 7
Divide by 7., okzd
Solve the equation. Show your work / explain your steps. x - 5 + 3x = -21
Answers
Answer:
X = -4
Step-by-step explanation:
See image for explanation
Answer:
x=4
Step-by-step explanation:
x - 5 + 3x = -21
add 3x and x and add 5 to both sides of the equation
4x = -16
then divide both sides by 4
x = 4
ya answer is x = 4
The baseball team is ordering hats for the upcoming season. The hat company
charges a certain amount per hat plus an initial fee of $55. There are 14 players on the
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?
Answers
8x + 4(x - 1) simplified
Answers
Answer:
12x-4
Step-by-step explanation:
8x+4(x-1)
multiply whats inside the parenthesis by 4
8x+4x-4
add like terms
12x-4
On what dThe function f(x) = x5 + (x + 3)2 is used to create this table. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 31, question mark, 9, 17. Which value completes the table? –17 –3 1 3
Answers
Answer:
the answer is 3
Step-by-step explanation:
I just did it
The value of the function for x=-1 is 3.
The given function is [tex]f(x)=x^{5} +(x+3)^{2}[/tex].
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
From the table, we get coordinates as (-2, -31), (-1, y), (0, 9) and (1, 17).
To find the y value of the coordinate (-1, y), substitute x=-1 in the given function.
That is, [tex]f(-1)=(-1)^{5} +(-1+3)^{2}=3[/tex]
Therefore, option D is the correct answer.
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in June Mr Chen's students read 40 books. In July, they read 30 books. what is the percent increase or decrease in the number of books they read?
Answers
Answer:95%
Step-by-step explanation:
Answer:
25% decrease
Step-by-step explanation:
did the quiz
graph the inequality -5 < x < 1
Answers
Answer:
B
Step-by-step explanation:
Open circle represents < and >
Since -5 is less than x, that is the starting point.
1 is greater than x, that is the end point.
Best of Luck!
Is -4 greater than -4.25?
Answers
Answer:
Yes
Step-by-step explanation:
The smaller the negative number, the greater it is. i.e., -230 < -9.
Answer:
yes
Step-by-step explanation:
it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative
hey wots 700÷28 ? answers ?
Answers
Answer:
Answer mine plz
Step-by-step explanation:
Answer:
its 25
Step-by-step explanation:
I guess I was help full for u
plz follow me for more update
Hey guys so I have a question I am not really sure about and confused so let's say we have an inequality its
-12x 6 so the sign flips for this one now how would the first one work with both negatives will this inequality flip as well or stay the same please I just keep on getting confused.
Answers
Answer:
Step-by-step explanation:
This is an easier way
[tex]-10p<-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\Simplify\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10p}{10}>\frac{70}{10}\\\\Simplify\\p>7[/tex]
I think this is what u meant
[tex]\frac{-10p}{-10} < \frac{-70}{-10} \\\\p > 7[/tex]
NEED HELP PLEASEE!!!
Answers
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{\frac{84}{15}in^{2}}[/tex]
[tex]\text{Area of a rectangle: A = l * w }\\\\w = 4\frac{1}{5}, \text{ and } l = \frac{4}{3} \\\\\text{Rewrite the mixed number into an improper fraction to make it easier to solve:}\\\\4\frac{1}{5} = \frac{21}{5}\\ \\\text{Multiply the two fractions:}\\\\\frac{21}{5}*\frac{4}{3} = \frac{21*4}{5*3} = \frac{84}{15}in^{2}[/tex]
The data set and dot plot display the number of questions a student missed on 8 math
quizzes. What is a correct description of the distribution?
1
3
3
5
4
3
2.
3
0 1 2 3 4 5 6 7 8 9 10
The data is skewed: the measures of center are varied.
The data is normal; the measures of center are varied.
The data is normal; the measures of center are equal.
None of the other answers are correct
The data is skewed: the measures of center are equal.
Answers
Answer:
the answer is 4
Step-by-step explanation:
(5/8 x - 10) - (1/8 x - 12)
Answers
Answer: 16x-25 over 4(4x-5)(2x-3)
Step-by-step explanation:
5/8x - 1/8x =1/2 (if simplified)
-10 - -12
-10+12
10-12
-2
1/2x - -2
Answer 1/2x +2
What is your dream car
Answers
Answer:
Toyota like my mom hajaha
Either a Ford like my dad or a Audi like my aunt lol
A number (n) minus 6 is greater than or equal to 11.
Answers
Answer:
the number can be 17 or higher.
Step-by-step explanation:
17-6=11
Eliminate the y in the following system of equations. What is the result when you add the two equations?
x+y=2
3x-4y=27
A.7x=29
B.x=-23
C.7x=35
D.4x=29
Answers
Answer:
C
Step-by-step explanation:
x + y = 2
Subtract x from both sides;
y = -x + 2
3x - 4y = 27
Substitute y;
3x - 4(-x + 2) = 27
Distribute;
3x + 4x - 8 = 27
7x - 8 = 27
Add 8 to both sides;
7x = 35
Divide both sides by 7;
x = 5
Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.
Answers
Answer:
4.8
Step-by-step explanation:
24/5 = 4.8
A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.
A rational expression to represent the amount of juice in each cup is 24/5.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
Given, Kim divided 24 ounces of orange juice into 5 cups.
Therefore, the amount of juice in each cup is:
24/5
Hence, a rational expression to represent the amount of juice in each cup is 24/5.
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What is the value of -34 +2(x-7) if x=-1?
Answers
Answer:
Step-by-step explanation:
-34+2（-8）
-34-16
-50
can someone please help me
Answers
Answer:
i think the answer would be none.
Step-by-step explanation:
Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold ribbon, does he have enough to decorate the top of the box?
Answers
This question is incomplete and lacks the required diagram
Complete Question
Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold ribbon, does he have enough to decorate the top of the box?
Answer:
Yes, he has enough ribbon to decorate the top of the box.
Step-by-step explanation:
From the above question, we are told that the volume of the box = 296cm³
Volume of the box = a³
296cm³ = a³
a = √296cm³
a = 6.6644437033cm
The side length of the box = 6.6644437033cm
The length of the ribbon = 24 1/4 inches
= 24.25 inches long.
Converting this to centimeters =
1 inch = 2.54cm
24.25 inches =
24.25 × 2.54 cm
= 61.595cm.
Length of the ribbon = 61.595cm.
Since from the above, we know the edges of the cube = square
Edge length of the box = 6.6644437033cm
The perimeter of a top of the box
= 4a
= 6.6644437033cm × 4
= 26.657774813 cm
Subtracting the perimeter of the top of the box from the length of the ribbon
61.595cm - 26.657774813 cm
= 34.937225187 cm ( ribbon left)
Therefore, he has enough ribbons left
True or false? <4≈<5
Answers
Answer:
false FALSE FALSE FALSE
Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk
Answers
Refrigerator 162$ and desk cost 54
Step-by-step explanation:
Cost of refrigerator and desk =$2163x+x=2164x=216x=216/4x=54now, Cost of refrigerator = 3x = 3*54 = 162Which is the correct classification of StartRoot 32 EndRoot? irrational number, nonrepeating decimal irrational number, terminating decimal rational number, nonrepeating decimal rational number, terminating decimal
Answers
Answer:
its A i got you
Step-by-step explanation:
The correct classification of [tex]\sqrt{32}[/tex] is it is an irrational number.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
We know if a number is not a perfect square it is an irrational number.
[tex]\sqrt{32}[/tex] can be written as [tex]\sqrt{2\times2\times2\times2\times2[/tex] which is [tex]2^2\sqrt{2}[/tex].
= [tex]4\sqrt{2}[/tex] and [tex]\sqrt{2}[/tex] is not a perfect square so it is an irrational number.
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Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds. About how much will the bag of nuts cost? Estimate $7.89(2.3). The bag of nuts will cost about .
Answers
Answer:
About $16
Step-by-step explanation:
To find the answer first round the weight from, 2.3 to 2. Next round the price per pound from $7.89 to 8.00. Last, multiply the weight of the bag by the price per pound. I hope this was helpful. Have a wonderful day!
Answer:
the person above me is right give them 5 stars and thanks.
Step-by-step explanation:
For a field trip 12 students rode in cars and the rest filled 8 buses.
How many students were in each bus if 324 students were on the
trip?
Help plzzzz
Answers
subtract 12 from 324, which is 312, and do 312 divided by 8 to get the answer.
Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²
Answers
Answer:
b
Step-by-step explanation:
The perimeter of the polygon is 4√(a² + b²).
Option D is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The polygon is formed by joining the four-point:
(0, b), (-a, 0), (a, 0), and (0, -b)
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Now,
Using this formula, we can find the lengths of the sides of the polygon:
The distance between (0, b) and (-a, 0) is d1.
= √[(0 - (-a))² + (b - 0)²]
= √(a² + b²)
The distance between (-a, 0) and (0, -b) is d2.
= √[(0 - (-a))² + (-b - 0)²]
= √(a² + b²)
The distance between (0, -b) and (a, 0) is d3.
= √[(0 - a)^2 + (0 + b)^2]
= √(a² + b²)
The distance between (a, 0) and (0, b) is d4.
= √[(0 - a)²+ (b - 0)^2]
= √(a² + b²)
The perimeter of the polygon is:
P = d1 + d2 + d3 + d4
= 4√(a² + b²)
Thus,
The perimeter of the polygon is 4√(a² + b²).
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Find the midpoint between (-1, -1) and (-9,6).?
Answers
Answer:
(-5,-3.5) is the midpoint
Step-by-step explanation:
See photo for the step-by-step explanation
Answer:
(4, -3.5)
Step-by-step explanation: