Answers
The values of each angles are:
A = 50, B = 130, C = 50, D = 50, E = 130, F = 130, G = 50, H = 80, I = 100
J = 100, K = 100, L = 80, M = 25, N = 100, P= 80, Q = 25, R = 65, S = 115,
T = 65, U= 115 , V = 115, W= 115, X = 65, Y = 65, Z = 115.
From figure,
<H = 80 {vertically opposite angle}
and, <I + 80 = 180 {Linear pair}
<I = 180 - 80
<I = 100
and, <I = <J = 100 degree {vertically opposite angle}
and, <L = 80 {Corresponding angle}
and, <P = <L = 80 {vertically opposite angle}
and, <K = <I = 100 {Corresponding angle}
and, <K = <N= 100 {vertically opposite angle}
and, <B = 130 {vertically opposite angle}
and, <A = <C = 50 {vertically opposite angle}
and, <Q = 90 -65 = 25
and, <M = 180 - 130 - 25 = 25 {Angle Sum property}
and, <R = 180 - 90 - 25 = 65 {Angle Sum property}
and, <U = 180 - <R = 115
<U= <V = 115 degree
<V = <S = 115
<T = <P = 180 - 115 = 65 degree
<F = 130
<D = 50
<G= 50
<E = 130
and, <W = <U = 115
<X = <R = 65
<Y = <X = 65
<Z = <W = 115
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Related Questions
How many solutions does this equation have?
–9d + 4 = –4 − 10d
Answers
Answer:
One Solution
Explanation:
–9d + 4 = –4 − 10dchange sides
–9d + 10d = -4 - 4one solution ↓
d = -8Answer:
One solution
Step-by-step explanation:
When solving for d, you get d = - 8
Are polynomials closed under addition and subtraction?
Answers
Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.
Exponents of polynomials are whole numbers.
Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.
If an operation results in the production of another polynomial, the resulting polynomials will be closed.
The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.
The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.
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the tires of a tractor are 5.25 feet tall. what measure would help to find how many feet the tractor will travel in 1 rotation
and how many feet would it travel
Answers
Answer:
16.485 feet
Step-by-step explanation:
Given that tire is 5.25 feet tall
any circular shape is as tall as its diameter.
we can say that diameter of tire is 5.25 feet.
in one rotation tire will start from one point of tire and reach it again.
it is like on a circle moving from on one point and then reaching to same point.
and we know that distance covered on moving on the point of circle is equal to circumference.
Thus, measure of circumference would help to find how many feet the tractor will travel in 1 rotation.
circumference of circle is given by \(\pi D\)
where D is the diameter of circle.
we will us 3.14 as value of \(\pi\)
thus, circumference of circle is\(\pi * 5.25 = 3.14*5.25 = 16.485\)
Hence, tractor would travel 16.485 feet in one rotation.
If the mean of the four numbers 2,4,x,and 6 is 5,then x is
Answers
The value of the unknown number x is 8.
What is the mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
The given numbers include:
2, 4, x, 6mean = 5The sum of the given numbers is calculated as follows:
\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)
The mean of the given 4 numbers is calculated as follows:
\(\dfrac{12+\text{x}}{4} =5\)
\(12+\text{x}=20\)
\(\text{x}=20-12\)
\(\text{x}=8\)
Thus, the value of the unknown number x is 8.
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Solve.
x^2 - 5x - 8 = 0
Answers
The values of x are : 6.27 and -1.27
Jamil finds that he reads 1/5 of his 115-page book in 1/4 hour
Answers
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
A tire has a radius of 13 inches. Which equation could be used to find the circumference of the tire
Answers
Answer:
the tire should be 16 inches in diameter
a way that you can find diameter is if you are given the radius and you just multiply that number by 2 or ADD the same number because usually it is half of the diameter
BRAINLIEST IF RIGHT If m∠BFG=(2x+146)∘, and m∠BCG=(4x+238)∘, what is the value of x? HELP!
Answers
Answer:
-34
Step-by-step explanation:
The value of x from the figure is -46.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
From the figure,
BCFG is a parallelogram,
So,
m∠BFG = m∠BCG
Now,
2x + 146 = 4x + 238
4x - 2x = 146 - 238
2x = -92
x = -46
Thus,
The value of x is -46.
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verify that the vector xp is a particular solution of the given nonhomogeneous linear system.
x’ = (2 1 1 -1)x+(-5 2); x˅p = (1 3)
Answers
To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.
The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.
Substituting xp into the equation, we get:
x' = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Therefore, the left-hand side of the equation is:
x' = (1 -1 2 -8)
And the right-hand side is:
Ax + f = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.
We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.
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An airplane carried 113 and 137 passengers in two different trips. By setting up an inequality, find the lowest number of passengers to carry if the average number of passengers for the three trips is atleast 120
Answers
Answer:
120 ≤ (113 + 137 + x)/3
x ≥ 177
Step-by-step explanation:
Is the difference of 18 and 3 a rational number?
Answers
Answer:
it is a whole number but because rational numbers include all intergers and whole numbers it is also a rational number
Step-by-step explanation:
Determine the measure of <1 in the figure. PLEASE HURRY!!!!
Answers
Answer:
80°
Step-by-step explanation:
The sum of interior angles for this rectangle is equal to (s - 2)×180 (s being the number of the sides)
(4-2)×180 = 360
Two of the given sides are 90° and the other one is 50+50 = 100 so the measure of angle 1:
90 + 90 + 50 + 50 + ∠1 = 360 add all given angles
280 + ∠1 = 360 subtract 280 from both sides
∠1 = 80
If M(-2,5) is the midpoint of AB and the coordinates of A are (4,7), what are the coordinates of B?
Answers
Answer:
(-8,3)
Step-by-step explanation:
Nicole wants to find out which sport is the fifth grade students' favorite to play in gym class. She decides to do a survey.
Which is the best question for Nicole to ask each fifth grader?
O A What is your favorite sport?
B. What is your favorite sport to watch on TV?
OC. What sport did you play in gym class today?
D. What is your favorite sport to play in gym class?
E. is basketball your favorite sport to play in gym class?
Answers
Answer:
A because it's self explanatory.
I need help asap please
Answers
Answer:
12.36
Step-by-step explanation:
the standard deviation is 12.36123 or 12.36 rounded.
4. if f (x) = 2x2 – 32, what is the value of f (5)?
Answers
Step-by-step explanation:
f(x)=2×2-32
f(5)=252-32
f(5)=220
What is the unit rate?
Answers
Answer:
2.75
Step-by-step explanation:
How to Find Unit Rate? In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months. What is his total cost for the computer? O $1,560 O $1,680 O $1.724 O $1.968
Answers
Answer:
$1,968
Step-by-step explanation:
If he paid $82 for 24 months when you mulitply 82 by 24 you get 1968. So the total computar was $1,968
PLS HELP 50 POINTS IF YOU DONT KNOW DONT ANSWER THE QUESTION
Answers
Answer:
It is C or t < 6
Step-by-step explanation:
The line starts at 6 and goes left. The way I remember which way it goes is the greater than or less than sign looks like the tip to the arrow
< ---- and ---- >
It is an open circle so it will not be a greater than or equal to sign
If u go to school u should know that!,, ( WHO IS GETTING POINTS TODAYYY???!! )
Answers
Answer:
D. twenty-eight and nine tenths
\(( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )\)
Answers
Answer:
\(\frac{1}{2}\) (a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
\(\frac{1}{2}\) a² + \(\frac{1}{2}\) ab - b² ← factor out \(\frac{1}{2}\) from each term
= \(\frac{1}{2}\) (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
\(\frac{1}{2}\) a² + \(\frac{1}{2}\) ab - b² = \(\frac{1}{2}\)(a + 2b)(a - b)
determine the equation that is represented by the table below. x 3 4 5 6 y -3 0 3 6 can some one answer please
Answers
calculate the slope of the line that contains the points (2, −8) and (−4, 4)?
Answers
⊂ Hey, islandstay ⊃
Answer:
Slope = -2
Step-by-step explanation:
Formula for Slope(m):
(y₂ - y₁) / (x₂ - x₁)
Solve:
(x₁, y₁) and (x₂, y₂)
(2₁, -8₁) and (-4₂, 4₂)
Now put it in the slope formula;
4 - (-8) / -4-2
12/-6
Slope(m) = -2
xcookiex12
4/20/2023
Can someone please check if it’s correct??
Answers
Answer:
these both are ture
Step-by-step explanation:
Please help with algebra
Answers
Answer:
initial cost = 24,165
after 7 years = 14,540.10
Step-by-step explanation:
initial cost = 24,165
after 7 years:
= 24,165(0.93)^7
=14540.1015382 = 14,540.10
Becky is using the expression 2z + 3 to represent the number of chairs in her classroom. There are twice as many chairs as tables, and there are three extra chairs in the back. What does z represent?
The number of chairs.
The number of tables.
The number of chairs at tables.
The number of chairs and tables.
Answers
Answer:
The number of chairs
Step-by-step explanation:
The equation is 2z + 3
2 ( = multiply by)
z ( # of chairs)
+3 ( the 3 extra chairs in the back)
Answer:
The number of tables
Step-by-step explanation:
Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.
Multiply the given polynomials. Answers should be simplified and written in standard form.
(3x+5)(x²+8x-10)
Answers
Answer:
3x³ + 29x² + 10x - 50
Step-by-step explanation:
(3x + 5))(x² + 8x - 10)
each term in the second factor is multiplied by each term in the first factor , that is
3x(x² + 8x - 10) + 5(x² + 8x - 10) ← distribute parenthesis
= 3x³ + 24x² - 30x + 5x² + 40x - 50 ← collect like terms
= 3x³ + 29x² + 10x - 50
Answer: 3x³+29x²+10x-50.
Step-by-step explanation:
\((3x+5)*(x^2+8x-10)=\\3x*(x^2+8x-10)+5*(x^2+8x-10)=\\3x^3+24x^2-30x+5x^2+40x-50=\\3x^3+29x^2+10x-50.\)
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
Answers
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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A = (1,5)
C = (1.75, 2.5)
B = (?)
Answers
Project p has an npv of $150,000; project q has an npv of $75,000. if you choose to work project p, what is the opportunity cost of not choosing project q?
Answers
The opportunity cost is merely the expense of not making a decision.
As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.
What is Net Present Value (NPV)?The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).
Some key features regarding the Net Present Value (NPV) are-
To calculate NPV, approximate the amount and timing of future cash flow and choose a discount factor equal to a minimum standard rate of return.A discount rate may represent ones cost of capital or even the releasing on comparable risk investments.If a project's or investment's NPV is positive, this means it's own rate of return would be greater than the discount rate.NPV takes into account the time value of the money and may be used to compare this same rates of return of various projects or to compare a predicted rate of return with hurdle rate required to endorse an investment.The discount rate, which may be a hurdle rate for just a particular project on the a company's cost of capital, represents the time value of money in the NPV formula.To know more about the Net Present Value (NPV), here
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