Answer:
True, because multiples of a right triangle triple produces a similar right triangle
Step-by-step explanation:
4) At Rory’s school, students must join one after school club. Based on the data in Graph #2, which club attracted about 30% of students?
x
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
The hiking club attracted about 30% of the students as per the given graph. which is the correct answer would be option (D).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
At Rory’s school, students must join one after-school club. Based on the data in the given graph,
According to the given graph
We can see that hiking and science clubs together attracted about 50% of students.
Here as a comparison to hiking and science clubs, we found that the hiking club is more attractive than the science club which is approximant about 30% of the students.
Therefore, the hiking club attracted about 30% of the students.
Hence, the correct answer would be an option (D).
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whats the midpoint of (2,2) and (10,10)
Answer:
Midpoint=(6,−354)
Step-by-step explanation:
I solved this using the MidPoint Calculator:) Im a 7th grader.
After a 5-hour flight from Newark, Harry arrived in
Denver at 2:30 pm. If the time in Newark is 2 hours
later than the time in Denver, what was the time in
Newark when Harry began the flight?
E. 10:30 am
F. 11:30 am
G. 12:30 pm
H. 3:30 pm
We need to know how to solve different time zone problems to solve this problem. The time in Newark when Harry began the flight is 11:30 am, option (F) is the correct answer.
In this question we have two cities Newark and Denver that have a time difference of 2 hours. Newark is 2hrs later than the time in Denver. The flight from Newark to Denver takes 5 hrs. Harry arrived at 2:30 pm, we need to find out at what time the flight left Newark. If we subtract 5 hrs from 2:30 pm we get 9:30 am, so when the flight left Newark it was 9:30 am in Denver, since the time in Newark is 2 hrs later than Denver, so it was 11:30 am in Newark.
Therefore the time when the flight left Newark is 11:30 am, option (F) is the correct answer.
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 2348 no votes, what was the total
number of votes?
Answer:
2935
Step-by-step explanation:
if you divide the total of no votes (2348) to 4 you will get 587
587 x the number of yes votes (5)
would be 2935
How to write 1.09 in a fraction
Answer:
1.09 = [tex]1\frac{9}{100} [/tex]
A package of 6 pairs of insulated socks cost 49.74 What is the unit price of the pairs of socks?
6.
Select all the conditions for which it is possible to construct a triangle.
A. A triangle with angle measures 60 degrees, 80 degrees, and 40 degrees
B. A triangle with side lengths 4 cm, 5 cm, and 9 cm
C. A triangle with side lengths 4 cm, 4 cm, and 7 cm
D. A triangle with side lengths 5 cm and 12 cm and a 90 degree angle.
E. A triangle with 2 right angles.
Help idmeadiitly
5) If a || b and b | c, can you conclude that a || c? Explain
your reasoning and include a drawing to support your
answer.
Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Parallel Lines' Slope Parallel lines have an equal slope. The slope of parallel lines is equal because they are all equally inclined with respect to the positive x-axis. If m1, m2 are the slopes of two parallel lines, then m1 = m2 is the result.Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
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Classify the TriangleThe answer choices are : equilateral, scalene or isosceles
The three sides and three angles of the given triangle are given to be equal.
An equilateral triangle has three sides of equal length and three equal angles.
So, the given triangle is equilateral.
Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for each phone sale and a different fixed commission for each accessory sale. Yesterday Grace sold 18 phones and 21 accessories and made a total commission of $204. Today she sold 6 phones and 14 accessories and made a total commission of $82. Determine the price of each phone and the price of each accessory.
What's the commission for each phone and the commission for each accessory?
The commission for each phone exists $2 and the commission for each accessory exists $9.
How to find the price of each phone and the price of each accessory?Given: Commission on 18 phones and 21 accessories = $204
commission on 6 phones and 14 accessories = $82.
Let the commission of each phone be P and the accessory be A.
From the given information, we get
18P + 21A = 204
6P + 7 A = 68 -----(1)
6P + 14 A = 82 ------(2)
By substitution of (1) in equation (2),
⇒ 68 - 7A + 14A = 82
simplifying both of the above equations we get
⇒ 7A = 14
⇒ A = 2
The value of A = 2.
Commission of each accessory = $2
To estimate the commission on each phone:
6P + 7 x 2 = 68
⇒ 6P = 54
⇒ P = 9
Commission of each phone = $9
Therefore, the required answers are 2 and 9.
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Find the number that should be added to the equations to make it a complete squares.
1. x^2 + 22x
2. x^2 - 2x
3. x^2 + 7x
The number that must be added to complete the squares is 121 .
Since x² represents the area of a square with a side of length x and bˣ represents the area of a rectangle with sides b and x, the process of completing the square can be seen as a visual manipulation of rectangles.
When the x² and bˣ rectangles are simply joined into a larger square, a corner is lost. The expression (b/2)² can be added to each side of the equation above to calculate the area of the remaining corner, thereby giving rise to the idiom "completing the square".the given expressions are x² + 22x
This can be written in the form of a square polynomial as :
x² + 2×x×11 + 11² = (x+11)²
Therefore we have to add 11² = 121 to the polynomial to complete the square.
Similarly for x² - 2x we have to add 1 to get the form (x-1)²
And we have to add x²+ 7x + (7/2)²
Hence the number to be added is 49/4 .
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I need some help... I am very confused.
The base of the triangle shown is 12 millimeters
What is an equation?An equation is an expression that can be used to show the relationship between numbers and variables.
Given that:
A is the area of the triangleb is the base of the triangleh is the heightb = 2A/h
For the triangle, A = 36 mm², h = 6 mm
Substituting:
b = 2(36)/6
Simplifying gives:
b = 12 mm
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Identify the reason that would be used to justify step 2 in the proof below.
Converse of the Consecutive Interior Angle Theorem
Corresponding Angles Postulate
Alternate Exterior Angle Theorem
Vertical Angles Theorem
The reason that would be used to justify step 2 in the proof below is: Corresponding Angles Postulate (Option B).
What is A corresponding Angle Postulate?Congruence and likeness tests in geometry require comparing corresponding sides and angles of polygons. In these tests, each side and angle of one polygon are matched with a side or angle of the second polygon, with care taken to maintain the order of adjacency.
A mathematical proof is an inductive explanation for a mathematical assertion that demonstrates that the provided assumptions logically ensure the conclusion.
There are several methods for demonstrating anything. There are three of them:
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3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
(10)n = 10(0.11515).
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
ill give 100 points answer fast and brainlist
The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 is; (10)n = 10(0.1515).
The resulting equation from the subtraction is therefore; 9n = 9 (0.1515).
What is the result of the subtraction of both equations?3. It follows from the task content that the equation represented by the statement; "the left side is your power of 10 times n and the right side is the result of multiplying 0.1515".
Hence, the algebraic expression which represents the situation is; (10)n = 10(0.1515).
4. Also, by subtracting the equation n = 0.1515 from the equation above; we have;
(10)n = 10(0.1515).
-
n = 0.1515
Therefore, the resulting equation from the subtraction is;
(10n - n) = 10(0.1515) - 0.1515
9n = 9 (0.1515).
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cuanto es 3416 dividido 23
Answer: 148.52173913
Step-by-step explanation:
Buenos Noches:)
espero que esto ayude
nits 5 and 6: Modeling Mania: Think 1 Question number 1 A scalene triangle has equal sides. I don't know
Explanation:
Scalene triangle has no side equal. Its angles are also not equal.
The three sides of scalene triangle are all differenet from one another.
- 1/4 x (- 4/3) as a fracction
Answer: the answer is x/3
Step-by-step explanation:
Samuel wants to save enough money to buy a new couch, but isn’t sure which bank’s savings account he should sign up for. Wells Fargo has a yearly interest rate of 6%. Chase has an interest rate of 0.5% compounded monthly. If Samuel deposits $3000 at the beginning of the year and makes no additional deposits or withdrawals, which bank would have the higher balance after one year?
wells Fargo would have a higher balance after one year
Step-by-step explanation:
wells Fargo would have a higher balance after one year
The unit cost, in dollars, to produce bins of cat food is $18 and the fixed cost is $30000. The price-demandfunction, in dollars per bin, is p(x) = 568 - 2xFind the cost function.C(x) =Find the revenue function.R(x) = Find the profit function.P(x) = 568 – 2xAt what quantity is the smallest break-even point?
The smallest breakeven point attains at 75.
A formula or equation that describes the behavior of specific sources of income when it is plotted on a graph is called a revenue function.
The cost function calculates the lowest cost of producing a specific level of output at some fixed factor prices.
A relationship that demonstrates the difference that results from subtracting the cost function from the revenue function is called a profit function.
Here, the Price/Demand Function is presented as
P(x) = 568 - 2x
Which means that when there is a demand for x units of cat food, the price will be set at 568 - x for each unit.
Let's now consider the revenue resulting from this demand, or x units.
Revenue = Demand * Price per unit
R(x) = x * (568-2x)
= 568x – 〖2x〗^2
Now let us Evaluate the Cost Function
Cost = Variable cost + Fixed Cost
Variable cost = cost per unit * number of units
= 18*x
= 318
Fixed Cost = 30000 as given in the problem.
Hence
Cost Function C(x) = 18x + 30000
Now let’s find the Profit Function
Profit = Revenue - Cost
P(x) = R(x) - C(x)
568x - 〖2x〗^2 – (18x + 30000)
568x -〖 2x〗^2 – 18x + 30000
-〖 2x〗^2 + 550x - 30000
Finding the quantity at which we reach break-even point is the next step.
At break-even point, we understand this Profit = 0
Hence P(x) = 0
-〖 2x〗^2 - 550x + 30000 = 0
Dividing both sides by -2 we get
X2 – 275x + 15000 = 0
Now we have to find the factors of 15000 whose sum is 275.
Now we have to solve the above quadratic equation using splitting the middle term method.
X2 – 275x + 15000 = 0
X2 – 200x - 75x + 15000 =0
X(x-200) - 75 (x-200) = 0
(x-75) (x-200) = 0
Either (x - 75) = 0 or (x-200) = 0, therefore
(x-75) = 0 = x =75
(x-200) = 0 x =200
Smallest of which is 75.
As a result, 75 units are required to reach the break-even point.
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A 25-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 15 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
Let us use a diagram to demonstrate the event .
From the diagram we are asked to find the value h. The value h can be found using pythagora's theorem.
[tex]\begin{gathered} h^2=25^2-15^2 \\ h^2=625-225 \\ h^2=400 \\ \text{square root both sides} \\ h=\sqrt[]{400} \\ h=20\text{ ft} \end{gathered}[/tex]∆GET ≅ ∆ABS. AB= 10, BS=13, AS=18, and GT=4x-8, what is the value of 'x'?
The value of x for GT is 6.5 .
What is the congruence of triangles?
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.
Given, ΔGET ≅ ΔABS
Following the statement that corresponding sides of congruent triangles are congruent, we have:
GE = AB, ET = BS and GT = AS -(i)
AB = 10, BS = 13, AS = 18, GT = 4x - 8 -(ii)
Comparing (i) and (ii) we have, 4x - 8 = 18 ⇒ 4x = 26 ⇒ x = 26/4 = 6.5
Thus, the value of x for GT is 6.5 .
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Under his cell phone plan, Angel pays a flat cost of $35 per month and $5 per gigabyte. He wants to keep his bill under $50 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Angel can use while staying within his budget.
Answer:
4 gigabytes
Step-by-step explanation:
$55-$35 =$20
Under $55 = less than (<) $55
According to given question we have,
$35 + $5 × g < 55
35 + 5g < 55
compare like terms and simplify we get,
5g < 55 - 35
5g < 20
g < 20/5
g < 4 gigabytes
Inequality: 5x + 35 <50
Answer: x < 3
Dana has 12 jelly beans that she wants to divide among 3 friends. Select the three statements that describe how Dana should divide the jelly beans.
Answer:
Step-by-step explanation: 12/3 is 4
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Calculate rates (backwards)
If pipe costs $30, at $6 / m, how many metres would you get?
Answer:
5 m
Step-by-step explanation:
$30 divided by $6 a m
30/6=5 m
Wendy has a negative balance in her checking account. Her balance is -$13.
If Wendy deposits $60, then buys 4 notebooks for 2 dollars each, how much money would Wendy have in her account after the purchases?
When you write the equivalent algebraic expression f8 for f² f6, why do you add the exponents?
The equivalent algebraic expression f⁸ for f² f⁶ is because product of power law states to add the exponents.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
Algebraic expression types:
Number ExpressionExpression of a BinomialExpression of a Polynomiallet,
RHS = f² f⁶
RHS = f²⁺⁶
RHS = f⁸ = LHS
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Find the equation of the straight line passing through the point (3, 3)
which is perpendicular to the line
y=-}x-4
Answer:y=1/2x-41/2
Step-by-step explanation: First we have to find the slope of the line that's given, y - 4 = 2(x+2). The slope is 2 (if we multiply 2*x we would get 2x and the 2 is the slope).
Two lines are perpendicular if their slopes are negative reciprocals. So if the first line has a slope of 2, a perpendicular line would have a slope of -1/2
Now we have to find the equation for the line with slope of -1/2 that passes through the point (3,3). If we use the point-intercept form we can write it as:
y = mx + b
Since the slope is -1/2 and we know that when x = 3, y = 3 (since the line passes through that point) we can substitute the values and solve for b
y = mx+b
3 = -1/2 *3 + b
3 = -3/2 + b
3 = -11/2 + b
41/2 = b
Now we can write the equation as
y = -1/2x + 41/2
Use the following variables for #'s
(3-5):
f= -6 g= 7 h=9
4) 5-f
The value of the expression 5 - f is 11.
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
A variable is a symbol and placeholder for any mathematical object. In particular, a variable may represent a vector, a number, a function, a matrix, the argument of a function, a set, or an element of a set.
We have the value of the following variables,
f = - 6,
g = 7 and,
h = 9
Now consider the expression 5 - f,
Substituting the value of f in the expression we get,
5 - f = 5 - ( - 6 )
5 - f = 5 + 6
5 - f = 11
Therefore, the value of 5 - f is 11.
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kelly sold 35 books at £1.40 each. 28 bracelets at £1.50 each. some badges at 80p each. She got a total of £115. Work out how many badges Kelly sold
Answer:
the answer is 30 !! :)
Step-by-step explanation:
115-(35*1.40)-(28*1.50)= 24
24/.8 = 30
