Answer:
You are looking at a pair of parallel lines (a and b) and a transversal that crosses them both.
Now that you know what think back to when you learned the relationship between angles formed by a transversal and a set of parallel lines.
You can have same side exterior, same side interior, alternate interior and alternate exterior. Which set of these are these angles?
Remember same side interior and same side exterior angles are supplementary (they have a sum of 180 degrees). Alternate interior and alternate exterior angles are congruent. Knowing this how can an equation be written using the expressions in the image?
Step-by-step explanation:
Answer:
x = 3.4
Step-by-step explanation:
Since these two angles are opposite exterior angles, they are equivalent. that means that 5x - 2/3 = 3 1/3x + 5, from here you should simplify the terms so you have all of x on one side and all of the number on ther other, it should be 1 2/3x = 5 2/3, then all you have to do is divide both sides by 1 2/3 to get x which is 3.4 or 3 2/5
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50. A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.a.Find the t-statistic for a hypothesis test that is designed to answer the question.
Answer:
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
Step-by-step explanation:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.
This means that [tex]\mu = 50[/tex]
A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.
This means that [tex]X = 56, s = 25, n = 100[/tex]. So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]
[tex]t = \frac{6}{2.5}[/tex]
[tex]t = 2.4[/tex]
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
I need help with percentages please.several stores in the mall are having a sale on jeans that cost $50 before any discount the table shows the discounts being offered
? Help if you know how to do this
Answer:
[tex]x = 2.5[/tex]
Step-by-step explanation:
Given
[tex]AC = 2x - 1[/tex]
[tex]AB = 2x + 1[/tex]
[tex]BC = 2\sqrt{7[/tex]
[tex]\angle A = 60^{\circ}[/tex]
Required
Find x
To find x, we make use of cosine formula which states:
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
In this case:
[tex]BC^2 = AB^2 + AC^2 - 2*AB*BC*CosA[/tex]
Substitute values
[tex](2\sqrt{7})^2 = (2x + 1)^2 + (2x-1)^2 - 2*(2x + 1)*(2x - 1)*Cos(60^{\circ})[/tex]
Evaluate all exponents
[tex]4*7 = (4x^2 + 4x + 1)+(4x^2 - 4x + 1) - 2(4x^2 - 1)*cos(60^{\circ})[/tex]
Open brackets
[tex]28 = 4x^2 + 4x + 1+4x^2 - 4x + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]
Collect Like Terms
[tex]28 = 4x^2 +4x^2+ 4x - 4x+ 1 + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]
[tex]28 = 8x^2+ 2 - (8x^2 - 2)*cos(60^{\circ})[/tex]
Substitute 0.5 for cos(60)
[tex]28 = 8x^2+ 2 - (8x^2 - 2)*0.5[/tex]
Open bracket
[tex]28 = 8x^2+ 2 - 4x^2 + 1[/tex]
Collect Like Terms
[tex]8x^2- 4x^2 + 2 + 1 - 28 = 0[/tex]
[tex]4x^2 -25 = 0[/tex]
Collect Like Terms
[tex]4x^2 =25[/tex]
Divide both sides by 4
[tex]x^2 =\frac{25}{4}[/tex]
[tex]x^2 =6.25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{6.25[/tex]
[tex]x = 2.5[/tex]
Y=-2x+6 what is the y intercept
Answer:
the Y intercept is 6
Step-by-step explanation:
the Y intercept of a linear equation like that equation
any equation formed as: y=mx+b
B of the equation would always be the Y intercept
The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.
To find the y-intercept, we substitute x = 0 into the equation:
y = -2(0) + 6
y = 0 + 6
y = 6
Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
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please help
Professor Ivy’s students have the following scores on her Exam.
61 88 67 88 91 69 45 92 52 38 98
Find the mode value.
Answer:
88
Step-by-step explanation:
The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.
Gary has to travel for work. He spent $128 on gas for his car last week.That is only 80% of what he usually spends per week.Hiw much does Gary spend on gas per week?
Answer: 48
Step-by-step explanation: all you have to do is subtract $128 by 80% that will equal 48
Your welcome!
V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that
[tex]v^2-15=-2v[/tex]
We have to find two solutions of quadratic equation.
[tex]v^2+2v-15=0[/tex]
Using addition property of equality
[tex]v^2+5v-3v-15=0[/tex] (By using factorization method)
[tex]v(v+5)-3(v+5)=0[/tex]
[tex](v+5)(v-3)=0[/tex]
Substitute each factor equal to 0
[tex]v+5=0[/tex] and [tex]v-3=0[/tex]
[tex]v=-5[/tex] and [tex]v=3[/tex]
Hence, two solutions of quadratic equation are
v=-5 and v=3
On a number line, the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the
directed line segment from Q to Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?
9514 1404 393
Answer:
A
Step-by-step explanation:
Using m=3, n=5, x2=2, x1=-14, the only match is the first one.
The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
Midpoint of a lineThe formula for expressing the midpoint of a line is expressed as:
[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]
Given the following parameters
m=3,
n=5,
x2=2,
x1=-14,
Substitute
[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
This given the correct expression for the point on the line
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Can someone please Help meeeee !!!!!
Answer:
4
Step-by-step explanation:
x must equal 2 and 2 to the power of 2 is 4
Answer:
4
Step-by-step explanation:
Original equation: 3x-1=5
Add 1 on both sides: 3x=6
Divide by 3 on both sides: x=2
If x=2, then x^2 = 4.
Let me know if this helps!
i need help
pls and thank you
find the slope of the line. (1,1) ,( 3,5)
Answer:
m=2
Step-by-step explanation:
5-1/3-1
4/3-1
4/2
2
I hope this helps
A standard amount for a tip in a restaurant is 35% of the meal cost. True or false
Answer: False
Step-by-step explanation:
it’s usually 20%
Answer:
False
Step-by-step explanation:
1. Normally it is 20%.
2. Move yous decimal one place to the left
3. Round this number to the next easy coin amount
4. Double that number
That is roughly 20%
Determine whether line c is a transversal of lines a and b. Explain your reasoning.
I WILL AWARD DA BRILLIANT AWORD THINGY
Answer:
Yes
Step-by-step explanation:
A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.
The required line C is a transversal of lines a and b.
What is a line?A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.
Thus, the required line C is a transversal of lines a and b.
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BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?
Answer:
I don't get the question
Step-by-step explanation:
Solve the equation
-7=y/7
Answer:
y=-49
Step-by-step explanation:
help please, help me
Answer:
7.07 in^2 is what i got
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate
Answer:
The proportion of this group that likes chocolate is 0.625.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Likes sprinkles
Event B: Likes chocolate
25% of your friends who like Chocolate (C) also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.25[/tex]
40% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.4[/tex]
Of the friends who like sprinkles, what proportion of this group likes chocolate
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]
The proportion of this group that likes chocolate is 0.625.
What is the answer plwese help!?!"!.!
Answer:
768 in.
Step-by-step explanation:
Your answer
1 point
Practice Question #7: There are 24 students in Ms. Watters Social Studies
class. 5/8 of these students earned an A on the geography unit
assessment. How many students earned an A? (enter only the number) *
How many unique triangles can be drawn side lengths of 5 inches and 6 inches, with an angle of 45 degrees bewteen the given sides?
Answer:
1
Step-by-step explanation:
SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.
Answer:
1
Step-by-step explanation:
becasue
Help me pls I do not want to fail math.
Answer:
2a=3b
Step-by-step explanation:
b/a=2/3 not b/a =3/2
b/3=a/2 not b/2=a/3
2a/3=b not 3a/2=b
hope it's helpful ❤❤❤
THANK YOU
how would I do linear expression
Answer:
Linear expression is linear equations
Step-by-step explanation:
All the teachers at a school are either left footed or right footed.
At the school
the number of left footed teachers:the number of right footed teachers = 3:13
At the school, there are 18 left footed teachers.
How many right footed teachers are there?
Answer:
78
Step-by-step explanation:
Ratio of left-footed teachers to right-footed teachers = 3:13
18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)
13x6 = 78 (whatever you do to one side, you have to do the other)
78 right-footed teachers
The are 78 teachers are right footed.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The ratio of the number of left footed teachers: the number of right footed teachers = 3:13
Total left footed teachers = 18
let the Common ratio be x.
Then , number of left footed teachers= 3x
and, number of right footed teachers= 13x
So, 3x= 18
x= 6
Hence, there are 78 teachers are right footed.
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Raj is 3 inches taller than Howard. Let h represent Howard’s height. Write an algebraic expression to represent Raj’s height.
Answer:
h + 3
Step-by-step explanation:
Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.
Answer:
h + 3
Step-by-step explanation:
h + 3
3 = they are 3 inches TALLER which means you need to add 3
h = Howards height
So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Choose all that apply: 4/6 + 2/3 =
Answer:
1.3 & 1/3
Step-by-step explanation:
Which expression has the same value as -4(5 - x)?
A. -4.5 + 4.x
B. -4.5 - 4.x
C. (-4 + 5).(-4 + ( - x))
D. (4 - 5)(-4 - x)
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
PLEASE ANSWER FOR BRAINLIEST!!!!!!!!!
You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $14. Club B offers membership for a fee of $21 plus a monthly fee of $13. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In __ months the total cost of each health club will be the same.
The total cost for each health club will be $__.
Answer:
In 3 months the total cost of each health club will be the same.
The total cost for each health club will be $_60_.
Step-by-step explanation:
Write an equation of the parabola in intercept form
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tickets did they give away to employees
Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39