Answer:
Postulates are the base structure of Mathematics.Step-by-step explanation:
Postulates are suggestion or assumptions that something is true based on reasoning, for example, the definition of a point in Euclidian Geometry.
Therefore, mathematics is grounded in systems of postulates that are tacitly true. Those postulates are used to define and demonstrate theorems, which are the strong structure of every law in Mathematics.
The postulates are helpful as they are taken to be true without proof and are basic structure from which lemmas and theorems are derived .
What are postulates?A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.
According to the question
Postulates are helpful because they are basic structure from which lemmas and theorems are derived and they are also known as an axiom, which is taken to be true without proof.
Hence, postulates are helpful as they are taken to be true without proof and are basic structure from which lemmas and theorems are derived .
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150 adults complete a survey 80 are female what's the ratio from men to female
Answer:
7:8 (if it's in it's simplest form.) if not, then it's 80:70 :)
Step-by-step explanation:
The total weight of 6 pieces of butter and a bag of sugar is 3.8 lbs. if the weight of the bag of sugar is 1.4lbs, what is the weight of each piece of butter?
4a and do a number line on paper and tell me how you did it
Which of the following correctly uses absolute value to show the distance between −70 and 13? A. |−70 − 13| = |−83| = −83 units B. |−70 − 13| = |−83| = 83 units C. |−70 + 13| = |−57| = 57 units D.|−70 + 13| = |−57| = −57 units.Please help I am in a time limit!!!!
Answer:
|−70 − 13| = |−83| = −83 units
Step-by-step explanation:
The following correctly uses absolute value to show the distance.
I took the test too
How many degrees are in 1/3
in the diagram, ray OT bisects angle SOU, measure of angle UOV equals 35 and measure of angle YOW equals 120 find the measure of each angle
Final Answers:
m∠ZOY = 60°
m∠ZOW = 180°
m∠VOW = 60°
m∠SOU = 190°
m∠TOU = 95°
m∠ZOT = 85°
Here's a step-by-step solution with the final answers:
1. Identify the given angles:
m∠UOV = 35°
m∠YOW = 120°
OT bisects ∠SOU
2. Find m∠VOW:
∠VOW and ∠YOW are supplementary angles because they form a straight line.
m∠VOW = 180° - m∠YOW = 180° - 120° = 60°
3. Find m∠ZOY:
∠ZOY and ∠VOW are vertical angles, so they are congruent.
m∠ZOY = m∠VOW = 60°
4. Find m∠ZOW:
∠ZOW and ∠YOW are adjacent angles that share a common side (OW).
m∠ZOW = m∠ZOY + m∠YOW = 60° + 120° = 180°
5. Find m∠SOU:
Since OT bisects ∠SOU, m∠TOU = 1/2 * m∠SOU.
We'll find m∠TOU later, so keep this relation in mind.
6. Find m∠TOU:
∠TOU and ∠UOV are adjacent angles that share a common side (OU).
m∠TOU = m∠VOW + m∠UOV = 60° + 35° = 95°
7. Find m∠SOU (using the relation from step 5):
m∠SOU = 2 * m∠TOU = 2 * 95° = 190°
8. Find m∠ZOT:
∠ZOT and ∠TOU are supplementary angles because they form a straight line.
m∠ZOT = 180° - m∠TOU = 180° - 95° = 85°
Final Answers:
m∠ZOY = 60°
m∠ZOW = 180°
m∠VOW = 60°
m∠SOU = 190°
m∠TOU = 95°
m∠ZOT = 85°
The probable question is in the image attached.
What is 2/12 in lowest terms (simplest form)?
the charge per mile for a compact rental car is $0.12 she has a budget of $60 for mileage charges. what is the greatest number of miles Miss Rodriguez and travel without going over budget
Mr Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds. What is the average change in the speed each second?
By dividing the total change in speed (30 miles per hour) by the total time span (10 seconds), it can be determined that Mr. Diaz decreased his car's speed by an average of 3 miles per hour each second.
Explanation:In this problem, Mr. Diaz decreased his car's speed by 30 miles per hour over a span of 10 seconds. To find the average change in speed each second, we divide the total change in speed by the total time period.
So, we can calculate the average change as follows:
30 miles per hour ÷ 10 seconds = 3 miles per hour per second
Therefore, the average change in Mr. Diaz's car speed each second is 3 miles per hour.
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Assume that in a batch of 34 defective items there are 22 with major defects and 23 with minor defects.
How many items in this batch have both major and minor defects?
427 thousand scientific notation
scientific notation is the standard form of writing numbers in a particular format
scientific notation is writing a number between 0 and 10 times a power of 10
the number to be written is 427 000
so we need to get the decimal point after the first digit from the right
decimal point should come to the right of digit 4
for the decimal to come next to 4 it has to move 5 places to the left. Then its 4.27 multiplied by 10⁵
scientific notation is - 4.27 x 10⁵
Based on the information given 427 thousand as scientific notation is:4.27 x 10⁵.
Scientific notationScientific notation is the way of writing or expressing number in simplest form.
4.27 x 10⁵=4.27×10×10×10×10×10
4.27 x 10⁵=427,000
Scientific expression=4.27 x 10⁵
Inconclusion 427 thousand as scientific notation is:4.27 x 10⁵.
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Create and solve equations, showing your work. You must create the equations and show the steps required to solve them.
Your portfolio must include a minimum of the following types of equations:
One one-step equation
One equation that contains fractions
One equation with decimals
One real-world problem that is solved by an equation
One-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.
What is the equation of variable?The variable is the unknown part of the equation. Variable changes with change in the quantities for any situation.
One one-step equationThe one step-equation is written below.
[tex]4y=64[/tex]
Divide both side with 4,
[tex]y=16[/tex]
The equation is solved in one-step.
One equation that contains fractions.The following equation is the equation which contains the fraction,
[tex]3x=\dfrac{24}{5}[/tex]
Divide both side with number 3,
[tex]x=\dfrac{24}{5\times3}\\x=\dfrac{8}{5}[/tex]
One equation with decimals-The following equation is the equation which contains the decimals,
[tex]9x+0.3=17.7[/tex]
Subtract both side with decimal number 0.3,
[tex]9x+0.3=17.7\\9x=17.7-0.3\\9x=18[/tex]
Divide both side with number 9,
[tex]x=2[/tex]
One real-world problem that is solved by an equationA taxi driver charge $1 for the a mile of a taxi ride and one time booking charge $2. The equation for this is given as,
[tex]y=1x+2[/tex]
Here in the variable (y) represent the total charge of taxi and variable (x) represent the number of rides the taxi travelled.
Thus, the one-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.
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The difference between two numbers 2.when each number is rounded to the nearest hundred , the difference between them is 100. What Numbers Could these be?
The two numbers that have a difference of 2 and a rounded difference of 100 are: 149 and 151.
When rounded to the nearest hundred, 149 rounds down to 100, and 151 rounds up to 200.
The difference between 100 and 200 is 100, which is the rounded difference between the two numbers.
149 and 151:
Difference: 151 - 149 = 2
Rounded difference: 100 - 0 = 100 (151 rounds to 100 and 149 rounds to 0)
Therefore, the two numbers that have a difference of 2 and a rounded difference of 100 are 149 and 151.
Complete question:
The difference between two numbers is 2. When each number is rounded to the nearest hundred, the difference between them is 100.
Write what the two numbers could be. (1 Point)
197 and 195
125 and 123
149 and 151
97 and 98
PLEASE HELP!
The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 2 miles east and 2 miles north of the city's center. Truth Park is 3 miles west and 4 miles south of the city's center. How far is it from Truth Park to the mall, to the nearest tenth of a mile?
a.) 2.8
b.) 7.8
c.) 5
d.)2.2
Option: b is the correct answer.
b) 7.8 miles.
Step-by-step explanation:Let us suppose that the city center is located at C(0,0) on the coordinate grid.
Now, The mall is 2 miles east and 2 miles north of the city's center.
This means that the coordinate of the mall is located at M(2,2)
and Truth Park is 3 miles west and 4 miles south of the city's center.
This means that the coordinate of the Truth park is located at P(-3,-4)
Hence, the distance between the mall and Truth park is equal to the sum of the distance between the Center city and mall and center city and Truth park.
i.e. PM=CM+PC
From the figure we may observe that:
[tex]CM=\sqrt{(2-0)^2+(2-0)^2}\\\\CM=\sqrt{4+4}\\\\CM=\sqrt{8}=2\sqrt{2}[/tex]
Hence, [tex]CM=2.828\ miles[/tex]
Similarly,
[tex]PC=\sqrt{(0-(-3))^2+(0-(-4))^2}\\\\\\PC=\sqrt{3^2+4^2}\\\\\\PC=\sqrt{9+16}\\\\\\PC=\sqrt{25}\\\\\\PC=5\ miles[/tex]
Hence, PM=2.828+5=7.828 miles
The distance between mall and Truth park to the nearest tenth is:
7.8 miles
Anna started a dog walking business. So far she has $117. She spent $45 dollars on supplies and charges $12 per hour. How many hours has she worked so far? *
*Penelope has a birdhouse that is 4.9 feet above the roof of her garage. She has a second birdhouse that is 5.36 feet below the roof of her garage. What is the distance between the birdhouses?* ***************** I don't understand how to solve this problem, and I'd very much appreciate it if someone could help me out! :)
Answer:
Step-by-step explanation:
Penelope has a birdhouse that is 4.9 feet above the roof of her garage.
She has a second birdhouse that is 5.36 feet below the roof of her garage.
The distance of first birdhouse from the roof = 4.9 feet
The distance of the second birdhouse from the roof = 5.36 feet
The distance between the birdhouses = 4.9 + 5.36
= 10.26 feet
Total distance between the birdhouses are 10.26 feet.
find the distance between the points:
(1, 3) and (3, -4)
Please explain and show work
323,423 rounded to the nearest hundred thousand
Is three quarters of earths water salt water?
Why do you suppose the United States still uses the English System for everyday measurements, while almost every other country uses Sl? Give several possible reasons
HELP ASAP WITH THIS QUESTION.
What is 372 divided by 2
how wide is a rectangular strip of land with length 6 mi and area 48 square mi? find the perimeter of the rectangular strip of land.
Final answer:
The width of the rectangular strip of land is 8 miles. The perimeter of the strip is 28 miles.
Explanation:
To find the width of a rectangular strip of land with a length of 6 miles and an area of 48 square miles, we use the formula for the area of a rectangle, which is Area = length × width. Since the area and the length are given, the width can be calculated as Area / length, which is 48 square miles/6 miles = 8 miles wide.
Now, to find the perimeter of the rectangular strip of land, we use the formula Perimeter = 2(length + width). Plugging in the given length of 6 miles and the calculated width of 8 miles, the perimeter equals 2(6 miles + 8 miles) = 2 × 14 miles = 28 miles.
A volleyball player has a assists per game during a 7 game match. The volleyball player has 35 assists during the entire match. Which equation can be used to find a?
The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price. Which expression represents the amount of tax that is paid on the bicycle?
The expression "0.09x" represents the amount of tax that is paid on the bicycle.
What is the expression?Expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that the expression 0.09x + (x - 30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax.
⇒ 0.09x + (x - 30)
Here the tax is on the original price.
Here the tax paid on the bicycle is denoted by the term "0.09x".
Thus, the expression "0.09x" represents the amount of tax that is paid on the bicycle.
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What is -1.1 repeating as a fraction
How do I turn 1/9 into a decimal?
You have $50 in your bank account. You make $8 per hour mowing lawns. How many hours must you mow lawns to have a total of $130 in your account?
Kay scored a total of 35 points in 2 games. she scored 6 times as many in the 2nd game as in the first. how many more points did she score in the 2nd game?
Answer:
She scored 25 points in the second game more than in the first one.
Step-by-step explanation:
at the zoo there were 3 times as many monkeys as lions Tom counted a total of 24 monkeys and lions how many monkeys were there