Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
D.
Step-by-step explanation:
Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.
What is the simplified form of (-3xy)(5xy-1)?
Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles away, but you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 15 minutes is only 5 miles per hour. What average speed do you need to go for the rest of the trip to get to the church on time
Answer:
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Step-by-step explanation:
We use the following relation to solve the question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
First 15 minutes:
Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]
Velocity of 5 miles per hour. So the distance is of:
[tex]d = vt = 5*0.25 = 1.25[/tex]
Final 15 minutes:
The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:
[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
What is the constant of proportionality of y=9x so what does k=
what is the equation for the line shown? picture attached.
Find the percent of a number 20% of 155
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
2+5xi-3y=14+3x-5yi.Find x and y
Question:
[tex]5x-3y=14[/tex]
[tex]3x-5y=2[/tex]
Find x and y
Answer:
[tex]x = 4[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]5x-3y=14[/tex] -- (1)
[tex]3x-5y=2[/tex] -- (2)
Required
Find x and y
We'll solve this using elimination method.
Multiply (1) by 3 and (2) by 5 to eliminate x
([tex]5x-3y=14[/tex]) * 3
([tex]3x-5y=2[/tex]) * 5
-------------------------------
[tex]15x - 9y = 42[/tex]
[tex]15x - 25y =10[/tex]
Subtract
[tex]15x - 9y = 42[/tex]
- ([tex]15x - 25y =10[/tex])
-----------------------
[tex]15x - 15x - 9y + 25y = 42 - 10[/tex]
[tex]- 9y + 25y = 42 - 10[/tex]
[tex]16y = 32[/tex]
Make y the subject
[tex]y = \frac{32}{16}[/tex]
[tex]y =2[/tex]
Substitute 2 for y in [tex]5x-3y=14[/tex]
[tex]5x - 3 * 2 = 14[/tex]
[tex]5x - 6 = 14[/tex]
Collect Like Terms
[tex]5x = 14+6[/tex]
[tex]5x = 20[/tex]
Make x the subject
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70
Answer:
Step-by-step explanation:
The first term here is -50 and the common ratio is 0.70. Note that the second term is 0.70(50) = 35.
The formula a(n) = a(0)*r^(n -1) becomes a(n) = -50*0.70^(n -1), and so
the 5th term is a(5) = -50*0.70^4 = -12.005
Is 4/10 equal to 2/3
Answer:
no, its not
Step-by-step explanation:
you can find the decimals by dividing the numerator and the denominator
4/10 = 0.4
2/3 = 0.6666666......
so the values are obviously different
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
Need help don’t know what to do I’m confused
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran?
Answer:
4.5 (j + m) + 27
Step-by-step explanation:
In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?
The probability that a student is a female given that they have an A is 0.2
How to determine the probability?The given parameters are:
Female = 11
A= 10
Female and A = 2
The probability is calculated using:
P(Female given A) = P(female and A)/P(A)
This gives
P(Female given A) = 2/10
Simplify
P(Female given A) = 0.2
Hence, the probability that a student is a female given that they have an A is 0.2
Read more about probability at:
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Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
Select the correct answer from each drop-down menu.
Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and
45% responded favorably.
What is the 90% confidence interval for the true proportion of club members who use compost?
Answer:
0.45 and 0.5
Step-by-step explanation:
plato/edmentum
The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)
What is Confidence Interval?
This refers to the probability of a parameter falling across a set of values around the mean.
To find the 90% confidence interval,
Probability= 45%= 0.45
Level of significance= 90%
1-0.90
= 0.10
[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]
The value of 0.05
P0.05= 1.645
P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]
0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]
0.45 ± 1.645 * 0.035178
0.45 ± 0.0578
0.45 - 0.0578, 0.45 + 0.0578
(0.4, 0.507)
Read more about confidence intervals here:
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Which of these situations would follow the general rule for basis of inherited property?
Louis died on August 12, 2019, leaving his house to his sister, Etty.
On August 15, 2018, Leroy gave his brother Ralph appreciated stock. Leroy's brother Ralph died on February 16, 2019. Ralph's only heir was Leroy.
Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
Janet died on January 1, 2019. At that time, she had an IRA with a balance of $32,640. She named her daughter, Emily, as the beneficiary of her IRA.
Amon the following situation 2 cases follow the general rule for basis of inherited property
Given , Statements of inheritance.
1. Louis died on August 12. 2019 leaving his house to his sister, Etty.
This is a case of inheritance of property as it justifies conditions of the definition of Inheritance of Property i.e Louis died and as a consequence his property is transferred to his sister which is her relative as per law. So, this is a valid case of inheritance. Even a person can transfer his property to some unrelated person, if he so mentions in his will.2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.
In this case, transfer of stock from Leroy to Ralph is outside the definition of inheritance, since Leroy was not died at that time. On second instance, when stock was transferred to Leroy after Ralph death in February 2019. It is a case of inheritance but it is the case of inheritance of stock, not inheritance of property. Stock of a company is not considered a property.3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
A 401(k) plan is a retirement savings account that allows an employee to divert a portion of his or her salary into long-term investments. The employer may match the employee's contribution up to a limit.This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.
4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.
This is also a case of inheritance but not the case of inheritence of property. IRA (Individual Retirement Account) is not considered as property.Know more about inheritance of property,
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what is the answer? ;3
In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Answer:
The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
Trust me edge 2022
An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective
Answer:
probability that a rivet is defective is 0.00868
Step-by-step explanation:
given data
rivets = 20
all seam need reworking P = 16% = 0.16
solution
we consider here probability of a defective rivet = p
and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)
so that for non-defective = 1 - P [all the rivets are non-defective]
and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]
= [tex]1 - (p})^{20}[/tex] ....................1
so
1-0.16 = [tex]1 - (p})^{20}[/tex]
0.84 = [tex]1 - (p})^{20}[/tex]
[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p
solve it we get
p = 0.00868
so, probability that a rivet is defective is 0.00868
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
Elena says I find 25.44 and then move the decimal point
Answer: help a homegirl out
Step-by-step explanation: let me get these points please
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
[tex]C = \frac{5(F-32)}{9}[/tex]
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
[tex]C = \frac{5(F-32)}{9}[/tex]
[tex]F = \frac{5(F-32)}{9}[/tex]
[tex]9F = 5F - 160[/tex]
[tex]4F = -160[/tex]
[tex]F = -\frac{160}{4}[/tex]
[tex]F = -40[/tex]
It will read the same at F = -40.
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
divide the following
3554by10
4678 by 40
Combine like terms.
3(2-5) – (4w=11)
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
28 decreased by 2.6%
Answer:
Please check the explanation.
Step-by-step explanation:
Given
28 decreased by 2.6%First we need to determine the percentage decrease such as:
Percentage decrease = 2.6% of 28
= 2.6/100 × 28
= 0.026 × 28
= 0.73
New value can be determined using the formula
New vaue = 28 - percentage decrease
= 28 - 0.73
= 27.27