Answers
Answer:
x=65
Step-by-step explanation:
180-140= 40 the other inside angle next to the 140
180-40-25= 115 last inside angle of the triangle
180 -115= 65 angle x
Related Questions
Point E(-5.3) and point D(-4,-3) are located on the grid. Which measurement is closest to the distance between point E and point D
in units?
Answers
Answer:
10.8 units
Step-by-step explanation:
Step-by-step explanation:
To find the distance between two points, use the distance formula.
Which are necessary conditions to apply the sas triangle congruence theorem? select all that apply.
Answers
Answer:
For two triangles to be congruent, SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle. If the congruent angles are not between the corresponding congruent sides, then such triangles could be different.
hope that helps
Step-by-step explanation:
suppose a package delivery company purchased 28 trucks at the same time. five trucks were purchased from manufacturer a, four from manufacturer b, and five from manufacturer c. the cost of maintaining each truck was recorded. the company used anova to test if the mean maintenance costs of the trucks from each manufacturer were equal. to apply the f-test, how many degrees of freedom must be in the denominator?
Answers
As calculated from the data given 24 degrees of freedom must be in the denominator.
df of the numerator is -1
c = 5 - 1 = 4
df of the denominator is - c
n-c = 28 - 4 = 24
In the formal description of the state of a physical system, it is a separate physical parameter. The term "degrees of freedom" describes the variety of spatial motions, rotations, and vibrations that a gas phase molecule may make. When applying the equipartition theorem to calculate the values of various thermodynamic variables, the degree of freedom a molecule has an impact.
Degrees of freedom come in three different categories, including translational, rotational, and vibrational. The number of atoms in a molecule and the geometry—the arrangement of the atoms in space—of the molecule both affect the number of degrees of freedom of each kind the molecule possesses.
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Write this 4th degree polynomial in simplified factored form
Answers
Therefore , the solution of the given problem of polynomial comes out to be (x-4)²(x-1)(x+2) is a four degree polynomial.
Describe polynomials.A polynomial is a mathematical statement with coefficients or uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to a phrase in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, then raised to negative number powers of non-variables.
Here,
Given :
=> (x-4)(x-1)(x+2)
=>(x-4)²(x-1)(x+2)
So,
=> (x-4)²(x-1)(x+2) is a four degree polynomial.
The two zeros of the degree four polynomial presented are x = 2 and x = 4. The two components of the above polynomial are (x - 2) and since x = 2 and x = 4 are its two zeros (x - 4).
The quadratic expression with the coefficients 1, 8, and 15 can be factored to find additional components. This equals x2 + 8x + 15.
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which equation describes a line of symmetry for the figure shown? y=0 y=-x y =x x=0
Answers
Answer:
The last option: x = 0
Step-by-step explanation:
The line of symmetry for a figure is a straight line that divides the figure into two congruent figures
The vertical line passing along the y axis is the line of symmetry and since it passes through all y values where x = 0, the equation is x = 0
y=0 and x=0 so wouldnt y=x
need help!!!!
6(x+3)=2x-64
Answers
6 + 1 8 = 2 - 6 4
Distribute.
Answer:
x= -20.5
Step-by-step explanation:
6x + 18 = 2x -64
-18 from both sides
6x = 2x - 82
-2x from both sides
4x = -82
divide by 4 on both sides
x= -20.5
An executive of Trident Communications recently traveled to London, Paris, and Rome. He paid $180, $230, and
$160 per night for lodging in London, Paris, and Rome, respectively, and his hotel bills totaled $2660. He spent $110,
$120, and $90 per day for his meals in London, Paris, and Rome, respectively, and his expenses for meals totaled
$1520. If he spent as many days in London as he did in Paris and Rome combined, how many days did he stay in
each city? (4 marks)
Answers
The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
The number of days in each cityLet x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.
We can set up the following equations to represent the given information:
180x + 230y + 160z = 2660 (hotel bills)
110x + 120y + 90z = 1520 (meal expenses)
x = y + z (he spent as many days in London as he did in Paris and Rome combined)
We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:
180x + 230y + 160z = 2660
110x + 120y + 90z = 1520
-180y - 180z + 180x = 0
Adding the first and third equations gives us:
360x + 50y - 20z = 2660
Adding the second and third equations gives us: 290x - 60y - 90z = 1520
We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:
1080x + 150y - 60z = 7980
-1450x + 300y + 450z = 7600
----------------------------------
1630x - 150y - 510z = 380
Solving for x gives us:
x = (150y + 510z + 380) / 1630
Substituting this back into the third equation gives us:
y + z - (150y + 510z + 380) / 1630 = 0
Multiplying by 1630 and rearranging gives us:
1480y + 490z = 380
We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:
490(360x + 50y - 20z) = 490(2660)
50(290x - 60y - 90z) = 50(1520)
---------------------------------------------------
19600x + 24500y - 9800z = 1303400
-14500x + 3000y + 4500z = 76000 --------------------------------------------------
4100x - 21500y - 14300z = 1227400
Solving for y gives us:
y = (4100x + 14300z - 1227400) / 21500
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480(4100x + 14300z - 1227400) / 21500 + 490z = 380
Multiplying by 21500 and rearranging gives us:
606800x + 2054200z - 1817320000 = 0
Solving for z gives us:
z = (1817320000 - 606800x) / 2054200
Substituting this back into the equation x = y + z gives us:
x = y + (1817320000 - 606800x) / 2054200
Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0
Using the quadratic formula, we can find the value of x:
x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)
Plugging in the value of y from earlier gives us:
x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)
Simplifying and solving for x gives us:
x = 10
Substituting this back into the equation x = y + z gives us:
10 = y + z
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480y + 490(10 - y) = 380
Solving for y gives us:
y = 6
Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z
Solving for z gives us:
z = 4
Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
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Solve the initial value problem (1+x ^2)y ′′+2y=0,y(0)=0,y (0)=10 If the solution is y=c 0 +c 1 x+c 2 x ^2 +c x^3 +c 4 x ^4 +c 5
x ^5 +c 6x ^6+c 7x^ 7 +⋯. enter the following coefficients: c 0 =
c 1 =
c 2=
c 3 =
Answers
The initial value problem (1+x^2)y'' + 2y = 0 with y(0) = 0 and y'(0) = 10 has a solution form given, and the coefficients can be determined by comparing terms in the equation.
The given initial value problem is (1+x^2)y'' + 2y = 0, with initial conditions y(0) = 0 and y'(0) = 10. We are given a solution form y = c0 + c1x + c2x^2 + c3x^3 + c4x^4 + c5x^5 + c6x^6 + c7x^7 + ..., where c0, c1, c2, c3, etc., are coefficients to be determined.Differentiating the solution form twice, we find y'' = 2c2 + 6c3x + 12c4x^2 + 20c5x^3 + 30c6x^4 + 42c7x^5 + ...
Substituting these derivatives and the solution form into the differential equation, we get (1+x^2)(2c2 + 6c3x + 12c4x^2 + 20c5x^3 + 30c6x^4 + 42c7x^5 + ...) + 2(c0 + c1x + c2x^2 + c3x^3 + c4x^4 + c5x^5 + c6x^6 + c7x^7 + ...) = 0.By comparing coefficients of like powers of x on both sides of the equation, we can determine the values of the coefficients c0, c1, c2, c3, etc. However, the exact values of these coefficients cannot be provided within the space constraints. To obtain the precise values, it is necessary to compare the terms and solve the resulting equations.
Therefore, The initial value problem (1+x^2)y'' + 2y = 0 with y(0) = 0 and y'(0) = 10 has a solution form given, and the coefficients can be determined by comparing terms in the equation.
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Russel has a biased coin for the which the probability of getting tails is an unknown p. He decide to flip the coin n and writes the total number of times X he gets tails. How large should n be in order to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n ? What if he wants 0.99 certainty?
Answers
n should be a whole number, we round up to the nearest integer, giving n = 540. Therefore, if Russel wants 0.99 certainty, n should be at least 540.
To determine how large n should be in order to have a certain level of certainty about the true probability p, we can use the concept of confidence intervals.
For a binomial distribution, the estimate of the probability p is X/n, where X is the number of successes (in this case, the number of times tails is obtained) and n is the number of trials (the number of times the coin is flipped).
To find the confidence interval, we need to consider the standard error of the estimate. For a binomial distribution, the standard error is given by:
SE = sqrt(p(1-p)/n)
Since p is unknown, we can use a conservative estimate by assuming p = 0.5, which gives us the maximum standard error. So, SE = sqrt(0.5(1-0.5)/n) = sqrt(0.25/n) = 0.5/sqrt(n).
To ensure that the true p is within 0.1 of the estimate X/n with at least 0.95 certainty, we can set up the following inequality:
|p - X/n| ≤ 0.1
This inequality represents the desired margin of error. Rearranging the inequality, we have:
-0.1 ≤ p - X/n ≤ 0.1
Since p is unknown, we can replace it with X/n to get:
-0.1 ≤ X/n - X/n ≤ 0.1
Simplifying, we have:
-0.1 ≤ 0 ≤ 0.1
Since 0 is within the range [-0.1, 0.1], we can say that the estimate X/n with a margin of error of 0.1 includes the true probability p with at least 0.95 certainty.
To find the value of n, we can set the margin of error equal to the standard error and solve for n:
0.1 = 0.5/sqrt(n)
Squaring both sides and rearranging, we get:
n = (0.5/0.1)^2 = 25
Therefore, n should be at least 25 to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n.
If Russel wants 0.99 certainty, we need to find the value of n such that the margin of error is within 0.1:
0.1 = 2.33/sqrt(n)
Squaring both sides and rearranging, we get:
n = (2.33/0.1)^2 = 539.99
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In the first week of July,1,020 a record people went to the local swimming pool. In the second week, 125 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 175 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answers
The percent decrease in the number of people who went to the pool over these four weeks is 15.2%.
How to calculate the percentage?The change regarding the people at the swimming pool for the number of weeks will be:
= 1020 - 125 + 145 - 175
= 865
The initial number of people is 1020.
Therefore, the percentage decrease will be:
= Decrease in number / Initial number × 100
= (1020 - 865) / 1020 × 100
= 155/1020 × 100
= 15.2%
The Percentage is 15.2%.
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How would the graph in the Example change ifadereads 5 pages every
3 minutes instead of 4 pages every 3 minutes
Answers
Answer:
(3,4) would become (3,5)
(6,8) would become (6,10)
(9,12) would become (9,15)
Step-by-step explanation:
the points would change as follows:
(3,4) would become (3,5)
(6,8) would become (6,10)
(9,12) would become (9,15)
Find the length of side AC. Round to the nearest tenth
Answers
Answer:
AC ≈ 4.7 ft.
Step-by-step explanation:
GIVEN :-
Length of AB = 5 ftLength of AC = x ft∠A = 20°TO FIND :-
Value of 'x'FACTS TO KNOW BEFORE SOLVING :-
\(\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}\)
SOLUTION :-
Side adjacent to ∠A = AC = x
Hypotenuse = AB = 5 ft
⇒ \(\cos 20 = \frac{x}{5}\)
⇒ \(0.9396.... = \frac{x}{5}\)
⇒ \(x = (0.9396...) \times 5 = 4.6984....\) ≈ 4.7 ft
Using the digits 0-9 without repeating, fill in each blank to create a true statement.
_(_x-_)=_ _
x =_
Answers
Answer:
x=9
if so
10(2x-3)=1,x
x= 9
Step-by-step explanation:
The equation for the given scenario is 2(3x-6)=18 and the solution is 5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
We have to create a true statement using the digits 0-9 without repeating.
Now, the equation is 2(3x-6)=18
Here, 3x-6=9
3x=15
x=5
Hence, the equation for the given scenario is 2(3x-6)=18.
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2. A piece of machinery depreciates in value by 5% a year.
Determine its value in 3 years time if its current value is $50
000.
Answers
The depreciation value of the machinery in 3 years time will be $42 868.75.
Given, Current value of the machinery = $50 000
Depreciation rate of the machinery = 5% per year
To find,Value of the machinery in 3 years time
The value of machinery decreases by 5% every year. Therefore, the value of machinery at the end of the year can be determined by the following formula:
Value at the end of a year = Value at the start of the year - Depreciation
Amount of depreciation = Depreciation rate x Value at the start of the year
According to the above formula, the value of machinery after 1 year will be:
Value at the end of year 1 = $50 000 - (5% × $50 000) =$47 500
After the first year, the value of the machinery will be $47 500. The same formula can be used to calculate the value of machinery at the end of year 2 and year 3.
Year 2: Value at the end of year 2 = $47 500 - (5% × $47 500) =$45 125
Year 3: Value at the end of year 3 = $45 125 - (5% × $45 125) =$42 868.75
Therefore, the value of the machinery after 3 years will be $42 868.75.
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Why would you need to find the area of a shape?
Answers
Answer:
Calculating the area of a shape or surface can be useful in everyday life
Step-by-step explanation:
Answer:
Finding area of a shape helps you determine the space of an area. In the real world, you must learn area to be a house flipper.
Step-by-step explanation:
To find area...
l x w = area
Which properties are best used prove a quadrilateral is a square?
a) Adjacent sides are perpendicular.
b) Diagonals are congruent.
c) Diagnonals are congruent and perpendicular.
d) Opposite sides are parallel and congruent.
Answers
Answer:
a, b, c, & d
Step-by-step explanation:
Evaluate the numerical expression (5-4) 1/2
Answers
Answer:
I think the answer is 1/2
The value of the numerical expression (5 - 4) x 1/2 will be 0.50.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The expression is given below.
⇒ (5 - 4) x 1/2
Simplify the expression, then we have
⇒ (5 - 4) x 1/2
⇒ 1 x 1/2
⇒ 1 / 2
⇒ 0.50
The value of the numerical expression (5 - 4) x 1/2 will be 0.50.
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Which values from the set make this inequality true?
5w>30; {5, 6, 7, 8}
Select EACH correct answer.
5
6
7
8
Answers
Answer:
7 & 8
Step-by-step explanation:
you have to elemiante the numebers by multipling them by the answers
5w>30 5(6)>30 5(7)>30
5(5)>30 30>30 WRONG 35>30 RIGHT,35 is larger then 30
25>30 WRONG (25 is less then 30)
5(8)>30
40>30 RIGHT (40 is greater then 30)
please help i don’t know how to do this
Answers
Answer: A
Step-by-step
Can someone help me with this math homework please!
Answers
Answer:
The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.
Hope this helps (●'◡'●)
The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.
So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.
We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.
Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.
---------------------------
Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.
Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.
Find an equation of the tangent line to the curve at the givenpoint.
y = 8(e^x) cosx
P = (0, 8)
Answers
The equation for the tangent line at (0, 8) is y = 8x + 8.
What is tangent line?A tangent line is a line that touches a curve at a single point, and has the same slope as the curve at that point. The slope of the tangent line is equal to the derivative of the function at the point of tangency.
The tangent line at (0, 8) is the same as the slope of the curve evaluated at x = 0.
To determine the slope, we take the derivative of y with respect to x:
y' = 8e^x(cosx - sinx)
At x = 0, the derivative simplifies to y' = 8cos0 - 8sin0 = 8(1 - 0) = 8.
Thus, the equation for the tangent line at (0, 8) is y = 8x + 8.
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Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
Answers
The means of simplifying is by factoring. The simplified form of the expression is 3x² - 29x + 56
Simplifying expressionsThe means of simplifying is by factoring
Given the expression
(x - 7) (3x-8)
Expand
(x - 7) (3x -8)
3x² -8x - 21x +56
3x² - 29x + 56
Hence the simplified form of the expression is 3x² - 29x + 56
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Find the value of x.
Answers
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm
Answer:
6.1 cm
Step-by-step explanation:
Use the Pythagorean theorem for triangle ABD to find the hypotenuse.
7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.
Write the algebraic expression that matches each graph.
Graph inserted below via image.
Answers
Answer: 7
Step-by-step explanation:
Answer:
y=|x-2|-2
Step-by-step explanation:
Go onto desmos and you can ask it to graph an equation to test your answers.
Factor completely. 4u²-28u+48 0 $ ?
Multiply (7y-4)(2+3y-5) Simplify your answer. Х $ Multiply (x-4w)(5x +w) Simplify your answer. Х 5 ? Simplify. (7x?y - 3y + 5x?) - (6xy2 + x2 - 2x+y) + P х
Answers
The quadratic expression 4u² - 28u + 48 can be factored as (2u - 4)(2u - 12).
The multiplication of (7y - 4)(2 + 3y - 5) simplifies to 7y² - 19y - 8.
The multiplication of (x - 4w)(5x + w) simplifies to 5x² - 19wx - 4w².
The simplification of (7xy - 3y + 5x²) - (6xy² + x² - 2x + y) + P yields 5xy - 6xy² + 4x² - 3y - 2x + y + P.
To factor the quadratic expression 4u² - 28u + 48, we can first find the factors of 48 that add up to -28. The factors are -4 and -12. So, we can rewrite the expression as 4u² - 4u - 12u + 48 and factor by grouping to obtain (2u - 4)(2u - 12).
To multiply (7y - 4)(2 + 3y - 5), we use the distributive property. Multiplying each term of the first expression by each term of the second expression, we get 14y + 21y² - 20y - 12. Combining like terms, the simplified result is 7y² - 19y - 8.
Multiplying (x - 4w)(5x + w) using the distributive property, we obtain 5x² - 20wx + wx - 4w². Combining like terms, the simplified expression is 5x² - 19wx - 4w².
Simplifying the given expression (7xy - 3y + 5x²) - (6xy² + x² - 2x + y) + P, we perform the subtraction by distributing the negative sign to each term in the second expression. Then we combine like terms, resulting in 5xy - 6xy² + 4x² - 3y - 2x + y + P.
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Which of the following deschbes the transformation from Figure 1 to Figure 2?
translation 2 units to the left and 1 unit down
translation 2 units to the night and 1 unit down
translation 4 units to the right and 1 unit down
translation 4 units to the left and 1 unit up
Answers
Answer:
well we need to see a visual representation of figure 1 and figure 2
Step-by-step explanation:
is this triangle congruent?
Answers
Answer:
I think so I'm sorry I'm not so sure.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
ill give the brainliest to the correct and the best explained answer :))
Answers
Answer:
20 m
Step-by-step explanation:
Using the Pythagorean Theorem,
a² + b² = c²
c² = (16)² + (12)²
= 256 + 144
= 400
c =√400
c = 20 m
Solution:
Given:
Length of rectangle = 16 mBreadth of rectangle = 12 mSolve using Pythagoras theorem:
c (Diagonal)² = 12² + 16²=> c² = 144 + 256=> c² = 400=> c = √400 = 20 m
What is the value of x if 5x + 45 = 35?
Select one:
10
-2
-10
2
Answers
Answer:
x= -2
Step-by-step explanation:
Simplifying 5x + 45 = 35 Reorder the terms: 45 + 5x = 35 Solving 45 + 5x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5x = 35 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 35 + -45 5x = 35 + -45 Combine like terms: 35 + -45 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
What is the value of p(b-c) when b=3 ,c=-3 and p=-2
a) 10. B)-2
c) 2. D)-12
Answers
B)-2
C)2
D)-12
The answer for the question 12 because it’s the higher number.