10. Olive Street crosses two parallel railroad tracks, as shown below
Railroad tracks
30°
Answer
What is the measure of Z1? [2 pts]
Show your work.
2
degrees
1
-Olive Street
Answers
The measure of angle 1 is given as follows:
m < 1 = 150º.
How to obtain the measure of angle 1?From the image given at the end of the answer, we have that two Railroad tracks are transversal to the Olive Street.
Considering that Olive Street is transversal to the parallel lines, we have that the angle 2 forms a linear pair with the angle of 30º.
Linear pairs are supplementary angles, meaning that the sum of their measures is of 180º, hence the measure of angle 2 is given as follows:
m < 2 + 30º = 180º
m < 2 = 180º - 30º
m < 2 = 150º.
Now we have that angles 1 and 2 are alternate interior angles, as they are between the two parallel lines, on the opposite side of the transversal.
Alternate interior angles are congruent, meaning that the measure of angle 1 is given as follows:
m < 1 = 150º.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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Related Questions
How do you find the total amount given the percentage of a partial amount
Answers
The whole value can be found by using a phenomenon known as proportion
What is percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
Now we are given a percent p of a value let us say x and that value be v
We have to find the initial value let us say that value to be 'P'
To find that we use proportion
That is ratio of value to their respective percentage will be equal
Hence we will have
P/100 = v/ x
P= (v/x)*100
Hence we get the initial value
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Mandy solved this system of equations using elimination
Answers
True, Mandy claims that there are no fixes for the system.
What do you mean by the system of linear equation?
A system of linear equations is usually a set of two linear equations in two variables. A linear equation in two variables has an infinite number of solutions. The goal of solving a system of equations is to transform two bivariate equations into a single univariate equation.
Given system of linear equation:
9x + 15y = 6 ....(1)
5y = -3x + 4 ....(2)
Using elimination method,
Substitute the value of x from eq (1) to eq(2)
9x + 15y = 6
9x = 6 - 15y
x = [tex]\frac{6-15y}{9}[/tex]
Now, substitute this in eq(2)
5y = - 3x + 4
5y = -3( [tex]\frac{6-15y}{9}[/tex]) + 4
5y = -1([tex]\frac{6-15y}{3}[/tex]) + 4
5y = -2 + 5y + 4
5y - 5y = 2
0 = 2
Which is not possible, hence given system of linear equation has no solution.
Hence, Mandy's statement is true.
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Which of the following is quadratic equation whose quadratic roots are 2 and 3?
Answers
The required quadratic equation which has the roots -2, and -3 is (C) x²+5x+6=0.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unspecified amount, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.
Factoring, using square roots, completing the square, and the quadratic formula is the four ways to solve a quadratic problem.
So, the product of a quadratic equation's elements can be used to represent any quadratic equation.
The necessary equation is created as follows:
(x - (-2))(x - (-3)) = 0
(x + 2)(x + 3) = 0
x² + 5x + 6 = 0
Therefore, the required quadratic equation which has the roots -2, and -3 is (C) x² + 5x + 6 = 0.
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Correct question:
Form a quadratic equation whose roots are -2,-3.
(A) x² - 6x + 5 = 0
(B) x² - 5x - 6 = 0
(C) x² + 5x + 6 = 0
(D) x² - 5x + 6 = 0
Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Lucy need to drive for the two plans to cost the same?
Answers
The two plans will cost the same when Lucy has driven 550miles. ($55 + $0.50 x 550)= $330
(0.6*550)=$330
The difference between both the trip rate is .10$
and the difference between initial fee is 55$
so after 1 mile the difference is .10$
the 55$can be earn after
55*10=550 mile.
What are typical speeds and an illustration?Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)
Why is the average speed determined?The overall distance traveled by an object over the total amount of time is the thing's average speed. The average speed v of an object during a motion that covers a total distance of d and a total duration of t can be estimated using the formula v = d t.
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In AWXY, if LX = LY, WX = 9x - 11, XY = 4x + 1, and WY = 7x - 3, find x and the measure of
each side.
Answers
The length of WX = 25, WY = 25, XY = 17.
What is an isosceles triangle?Isosceles triangles have two sides that have the same length.
ABC, if it is an isosceles triangle then AB=AC
Properties of isosceles triangle used in this question:
In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal and its reverse also hold.
ABC is an isosceles triangle AB=AC then
∠B =∠C
Given: ΔWXY, ∠X = ∠Y
Therefore, WX = WY
WX = 9x-11
WY = 7x-3
XY = 4x=1
9x-11 = 7x-3
9x-7x = -3+11
2x = 8
x = 4
We can calculate easily all the side with the help of x value
WX = 9x-11 = 9*4 -11 = 26-11
= 25
WY = 7 x (-3) = (7×4)– 3 = 28-3
= 25
XY = 4x=1 = (4×4) +1 = 16+1
= 17
Hence, we get all the sides.
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excluding the jokers, a deck of cards has 52 cards. what is the probability ofdrawing three aces in a row without replacement?
Answers
The probability of drawing three aces in a row without replacement is 0.00018 from a deck of 52 cards.
We know that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.
We are given that cards are drawn without replacement, it means counts of cards after drawing a single card will change.
We know very well that in a deck of 52 cards, count of aces is 4.
So,probability of drawing a single ace from 52 cards is =4/52.
Now,after drawing a single ace total number of cards reduce to 51 and number of aces counts reduce to 3
So, probability of drawing a single ace from 51 cards = 3/51
Similarly probability of drawing of single ace from 50 cards is =2/50
So, total probability of drawing of three aces is =(4/52) × (3/51) × (2/50)
or P(E)=(1/13) × (1/17) × (1/25) =1 / 5525 =0.00018
Hence, required probability is 0.00018 .
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autumn is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. autumn will earn $30 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. autumn earned a total of $480 in royalties on 10 commercials and movies. write a system of equations that could be used to determine the number of commercials and the number of movies on which autumn's songs were played. define the variables that you use to write the system.
Answers
Autumn's songs were played in 2 movies and 8 commercials combined.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Assume that y is the total number of movies that featured Autumn's songs, and x is the total number of commercials.
There will be the following equations that describe the given issue:
Here
30x+120y=480
x + 4y = 16 equation 1.
and
x + y = 10
y = 10-x equation 2.
putting eq 2 in 1 we have
x+4(10x) = 16
⇒-3x+40= 16
⇒x=8
⇒ y = 2
Hence, Autumn's songs were played in 2 movies and 8 commercials combined.
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Please help⚠️⚠️ it’s about the measures
Answers
Answer: m∠5 = 116°
Step-by-step explanation:
Because m∠4 and m∠6 are consecutive interior angles, then we know
m∠4 + m∠6 = 180
(106 - y) + (3y - 10) = 180
104 - y + 3x - 10 = 180
96 + 2y = 180
2y = 84
y = 42
And also the m∠4 and m∠5 are alternate interior angles, we get:
m∠5 = m∠4 = 3y - 10
Since we also calculate what y is, we just plugin.
mm∠5 = m∠4 = 3(42) - 10 = 126 - 10 = 116
one of the requirements of regression analysis is called the multicollinearity assumption. how is multicollinearity defined?
Answers
Multicollinearity can be defined as when two independent variables are correlated, multicollinearity occurs. Reason: Only the interactions between the independent variables are considered multicollinear.
Multicollinearity is the prevalence of excessive intercorrelations amongst or extra impartial variables in a more than one regression model. Multicollinearity: Multicollinearity exists whilst or extra of the explanatory variables are extraordinarily correlated.
This is a hassle as it could be tough to disentangle which ones first-rate explains any shared variance with the outcome. It additionally indicates that the 2 variables may also in reality constitute the identical underlying factor. Multicollinearity takes place whilst or extra impartial variables are extraordinarily correlated with each other in a regression model. This method that an impartial variable may be anticipated from any other impartial variable in a regression model.
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an f of 69 from an experiment with 4 groups and 42 observations in each group would be considered group of answer choices small. huge. consistent with the null hypothesis. moderate.
Answers
The null hypothesis asserts that the data are well described by both your model and the model without independent variables.
What is the F-test null hypothesis?The two theories for the F-overall test's significance are as follows:The null hypothesis claims that your model and the model with no independent variables both adequately describe the data.The alternative premise asserts that your model, rather than the intercept-only modelF-Ratio or F, better fits the data.The population variance is estimated by statistical MSwithin.If the null hypothesis is incorrect, MSbetween will typically be greater than MSwithin because variances are always positive.The F-ratio will then be greater than one.By first presuming that only chance elements were responsible for the outcome, null hypothesis significance testing applies the principles of probability to calculate the likelihood of an occurrence.This type of testing is a statistical test in which the hypothesis of no effect based on a specific observation is evaluated against an experimental component.To learn more about the F-test null hypothesis refer to:
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Samuel measured a house and it’s a lot and made a scale drawing the scale he used was 14 inches:5 feet in the drawling the porch is 56 inches wide what is width of the actual porch
Answers
the width of the actual porch will be 20 feet.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A rectangle is a closed, four-sided figure in two dimensions. All of a rectangle's angles are equal to 90 degrees, and its opposite sides are equal and parallel to one another. See the shape, sides, and angles of the rectangle in the illustration below.
The scale of the Drawing was 14:5
If the width of the porch is 56 inches then what is the length of the porch
Since the scale of the drawing is 14:5 this implies that ratio of width of drawing and the original is 14:5.
Let x be the original width of porch and the width of the drawing is given as 56 inches, therefore by the given ratio we have
56:x=14:5
x = 56*5/14 = 20 feet
Hence the width of the actual porch will be 20 feet.
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Part C
Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
The fractions are: 3/4 and 1/6
Answers
The Least common denominator of the given fractions is 12.
What is least common denominator?
The lowest common multiple of the denominators of a group of fractions is known as the lowest common denominator, or LCD, in mathematics. It makes adding, taking away, and comparing fractions easier.
Consider the given fraction, 3/4 and 1/6
The denominator are 4 and 6.
The multiples of 4 are, 4, 8, 12, 16, 20.
And the multiples of 6 are, 6, 12, 18, 24, 30.
From the above listed multiples of 4 and 6, 12 is the least common multiple of both the numbers.
Hence, the Least common denominator of the given fractions is 12.
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Which of the following is a solution to the equation
x² + 5x + 4 = 2x² - 10?
A) -7
B) -2
C) 0
D) 2
Answers
Answer:
x=−2
Step-by-step explanation:
x2+5x+4−(2x2−10)=2x2−10−(2x2−10)
−x2+5x+14=0
(−x−2)(x−7)=0
−x−2=0
Hence B is the correct option
The price of a baseball cap is $9.00 plus $0.78 tax. What is the cost of 6 caps?
Answers
Answer:
60.68
Step-by-step explanation:
9*6+.78*6=60.68
Suppose you are using the Pythagorean theorem to
find the length of the base of the given triangle. Which
expression is appropriate for this situation?
Answers
Using the Pythagorean Theorem, the length of the base is: 15 units.
What is the Pythagorean Theorem?The Pythagorean theorem is used to find any of the length of the legs or hypotenuse of a right triangle if we know any two measures of its side. The theorem is given as: the square of the hypotenuse = sum of the squares of the legs of the right triangle.
It can be expressed as c² = a² + b², where c is the longest side of the right triangle.
Note: The hypotenuse is the longest side of the triangle.
Thus, given the triangle in the image below, where:
c = 25
a = 20
b = length of the base
The expression that would be appropriate for this situation would be written based on the Pythagorean Theorem, which is:
b = √(c² - a²)
Substitute
b = √(25² - 20²)
b = 15 units
The length of the base is: 15 units.
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..................................
Answers
Answer:
what are you asking?!?
Step-by-step explanation:
Kiki runs 437 miles during the first week of track practice. She runs 623 miles during the second week of track practice.
How much longer does Kiki run during the second week of track practice than the first week of track practice?
1521 mi
125 mi
2521 mi
225 mi
QUICK PLEASE!!!!!!
Answers
Answer:
186- none of those answers are correct, the right answer is one hundred eighty six miles
Step-by-step explanation:
623
-437
____
186
Answer:
The difference in the number of miles run by Kiki during practice is 186 miles.
Step-by-step explanation:
Given that Kiki runs 437 miles during the first week of track practice and she runs 623 miles during the second week of track practice.
The difference in miles will be:
= 623 - 437 = 186 miles.
there
Write an equivalent expression for 6a + a + 8b + b.
A
Answers
Answer:
7a+9b
Step-by-step explanation:
Please I need help trying to answer this Simplify (z9z−5)−2.
Answers
Answer:
9z^2 -7
Step-by-step explanation:
(z9z−5)−2.
(9z^2−5)−2.
9z^2-5 -2
9z^2-7
Write the problem as a mathematical expression.
Multiply
z9 by z by adding the exponents.
Subtract
2 from −5 .
ANSWER:
z^10 − 7
In the given figure, write the relation between AB and CD as well as AB and AE.
Answers
Answer:
see explanation
Step-by-step explanation:
since both AB and CD are at right angles to AE then
AB and CD are parallel lines.
since AB and AE are at right angles to each other then
AB and AE are perpendicular lines
no LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
unit 11 probability and statistics homework 2 answers
Answers
The probability that at least 5 will do their homework on time in a class of 50 students is 0.1
Probability
Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.
the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06.
Each student does homework independently.
In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time.
Probability = event occur/ total number of outcomes
= 5/50= 1/10=0.1
Thus the probability becomes 0.1
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Lawson planted a tree when it was 14 inches tall and it will grow 3 inches per year. Ezra planted a tree when it was 8 inches tall and it will grow 5 inches per year. Determine how many years it will take for the trees to be the same height.
Answers
Answer:
Year 1:
Lawson; 14+3=17
Ezra; 8+5=13
Year 2:
Lawson; 17+3=20
Ezra; 13+5=18
Year 3:
Lawson; 20+3=23
Ezra; 18+5=23
Factor the polynomial by its greatest monomial factor.
Answers
The factorization of the given polynomial by greatest monomial factor is given as 3b⁵(1 + 5b - 6b²).
How to factorize a polynomial?The factorization of a polynomial can be done by taking out the common part to all of its terms and then expressing it as the product of those parts.
The given polynomial is 3b⁵ + 15b⁴- 18b⁷
It can be factorized as follows,
The largest factor common for all the terms of 3b⁵ + 15b⁴- 18b⁷ is 3b⁵.
Then, the given expression can be written as,
3b⁵ + 15b⁴- 18b⁷
= 3b⁵(1 + 5b - 6b²)
Hence, the given polynomial can be factorized as 3b⁵(1 + 5b - 6b²).
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Add: 5p - 7q, 3q - 4p + 12, 6q - 13pq - 15 .
Answers
Answer:
(5p - 7q) + (3q - 4p + 12) + (6q - 13pq - 15)
Open brackets
5p - 7q + 3q - 4p + 12 + 6q - 13pq - 15
Combine like terms,
5p - 4p - 7q + 3q + 6q - 13pq + 12 - 15
p + 2q - 13pq - 3
Thus, The answer is (p + 2q - 13pq - 3)
Answer:
p + 2q - 13pq - 3
Step-by-step explanation:
Now we have to,
→ Add the following expressions.
The expressions are,
→ 5p - 7q, 3q - 4p + 12, 6q - 13pq - 15
Let's solve the problem,
→ (5p - 7q) + (3q - 4p + 12) + (6q - 13pq - 15)
→ 5p - 7q + 3q - 4p + 12 + 6q - 13pq - 15
→ (5p - 4p) + (-7q + 3q + 6q) + (-13pq) + (12 - 15)
→ (p) + (2q) + (-13pq) + (-3)
→ p + 2q - 13pq - 3
Hence, answer is p + 2q - 13pq - 3.
How do you write 3% as a fraction and a decimal?
Answers
Answer: decimal 0.03 fraction 3/10
Step-by-step explanation:
PLEASE HELP ASAP
which construction is being described
1. a line through point B parallel to AC
2. The bisector of BAC
3. An angle congruent to BAC, and the two resulting angles, BAF and FAC, are congruent to each other.
4. A ray perpendicular to AB
Answers
Answer:
The bisector of BAC
Step-by-step explanation:
Point D and point E are equidistant from point A. Therefore, when two arcs are constructed equidistant from these points, intersecting eachother, a line drawn though this intersection and point A bisects angle BAC
Find the equivalent fraction of 4 /9 by finding the value of : 4 /9 = 12 /_ = 40 /90 = _/108
Answers
Step-by-step explanation:
Given;4/9 = 12/_ = 40/90 = _/108Let us take the first number x and second be y
So,
4/9 = 12/x = 40/90 = y/108
Now,
4/9 = 12/x
4x = 12(9)
4x = 108
4x/4 = 108/4
x = 27
Now,
40/90 = y/108
4/9 = y/108
4(108) = 9y
432 = 9y
9y = 432
9y/9 = 432/9
y = 48
Now,
4/9 = 12/x = 40/90 = y/108
4/9 = 12/27 = 40/90 = 48/108 = 0.44
In the popular Texas hold 'em variety of poker, players make their best five-card poker hand by combining the two cards they are dealt with three of five cards available to all players. You read in a book on poker that if you hold a pair (two cards of the same rank) in your hand, the probability of getting four of a kind is 88/1000. Explain what this probability means.
Answers
This probability means that in a very long series of hands of poker, about 8.8% of the time we will get 4 of a kind.
The results of a chance process are unpredictable, yet they follow a predictable distribution over a large number of repeats. The frequency of a particular occurrence happening across many repeats approaches a single number, according to the law of large numbers. The likelihood of a chance result is determined by its long-term relative frequency. The probability given in the question is 88/1000, which means that we should anticipate 88 poker hands with a four-of-a-kind for every 100 hands with a pair.
The probability stated in the question for different Texas hold'em poker games has this meaning. Because it is also possible that 87 or 89 of 1000 such hands will have four of a kind, this probability does not guarantee that exactly 88 of those hands will contain four of a kind. There are frequently more than 88 fours of a kind, though this isn't always the case.
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Calculate the monthly share of annual expenses and find the total monthly expenses.
1. Annual, $4,200; Living, $670; Fixed, $800
Answers
The monthly share of annual expenses is $1820/month.
What is a monthly share?The monthly Share is calculated by dividing the annualized net amount of non-monthly billed services by 12.
Nonrecurring billing:
A one-time transaction is a non-recurring payment.
There is usually only one invoice or bill involved, and it only happens once.
Frequently, the amount is greater than the sum for recurring payments.
Subscriptions that are on monthly billing are billed on the same day each month for as long as the subscription is current.
So, we have:
Annual: $4200
Living: $670
Fixed: $800
Now, calculate as follows:
4200/12 = 350
Then,
350 + 370 + 800 = $1820/month
Therefore, the monthly share of annual expenses is $1820/month.
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if you use a different experimental photo-missive material, what would be the same on the graph? (5 points) the y-intercept the intercept the slope
Answers
The slope would be the same on the graph.
What is a slope?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b.
M represents the line's slope. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in the equation y = 3x - 7.
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