Answer:
∠ 2 = 122°
Step-by-step explanation:
given ∠ 2 = 2 ∠ 1 + 6
a linear pair of angles sum to 180° , then
∠ 1 + ∠ 2 = 180° , that is
∠ 1 + 2∠ 1 + 6 = 180° ( subtract 6 from both sides )
3∠ 1 = 174° ( divide both sides by 3 )
∠ 1 = 58° , then
∠ 2 = 180° - 58° = 122°
Which has a value between −13 and −14 ?
Answer:
numbers between -13.001 and -13.999
How much will 5% yards cost of fabric be at $10.99 a yard?
If the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55
How to determine the cost of the fabric?The given parameters are
Cost of fabric = $10.99 per yard
This means that the unit rate of a yard of fabric is $10.99
So, the cost of a 5% yard cost of fabric would be
Cost = 5% * Cost of fabric
The above equation becomes
Cost = 5% * 10.99
Evaluate the product
Cost = $0.55
Hence, if the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55
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What is the solution to the equation StartFraction m Over m + 4 EndFraction + StartFraction 4 Over 4 minus m EndFraction = StartFraction m squared Over m squared minus 16 EndFraction? m = –4 m = –2 m = 2 m = 4
The solution to the equation is mathematically given as
m=-2
This is further explained below.
What is the solution to the equation?Generally, the equation is mathematically given as
[tex]\frac{m}{m+4}+\frac{1}{4-m}=\frac{m^2}{m^2-16}[/tex]
Where
The LCM of the denominators are
m^2-16=(m+4)(m-4)
Hence
[tex](m+4)(m-4)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=(m+4)(m-4) \cdot \frac{m^2}{m^2-16} \\[/tex]
m(m-4)-4(m+4)=m^2
m^2-4 m-4 m-16=m^2
8 m=-16
m=-2
In conclusion, the solution to the equation is
m=-2
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Answer:m=-2
Step-by-step explanation:
just answered
Use the inverse relationship to complete the expression.
|fi= √√-1₁
√√-1, then ² = |
N
DONE
The square of the imaginary number i is -1.
What are imaginary numbers?If you multiply a real number by the imaginary unit I which has the characteristic i2 = -1, you get an imaginary number. The imaginary number bi is squared as -b2. Zero is, by definition, both real and fictional.
A number that results from multiplying a non-zero real number by the iota I is an imaginary number. I in this case Equals (-1) or i2 = -1. Finding the square root of negative integers is made easier by using these values. -4i, 6i, I etc. are some instances of imaginary numbers.
i is an imaginary number where, [tex]i=\sqrt{-1}[/tex]
And so, [tex]i^{2}=-1[/tex]
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Calvin bikes to school and back home. When Calvin rides his bike to school, he bikes 10.54 miles round trip in one day. this week, Calvin rode his bike to school and back Monday through Thursday. on Friday, he rode his bike to school but received a car ride home from his friend. how many total miles did Calvin bike this week.
A: 42.16 miles
b: 57.97 miles
c: 52.7 miles
d: 47.43 miles
please help me:(
Answer:
What digital/technological features will your futuristic bath/shower time utilize?
Tuff question I need help
The correct expression is 6^(-11).
What are exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
Given:
6^(-5) / (6^2)^3
Now, using laws of exponents
(a^m)^n = a^(mn)
6^(-5) / (6^6)
again using laws of exponents
a^m/ a^n= a^(m-n)
So, 6^(-5-6)
=6^(-11)
Hence, the value of 6^(-5) / (6^2)^3 is 6^(-11).
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PLEASE ILL BE GIVING BRAINLY TO WHOEVER ANSWEERS FAST!!! Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, and the variable.
A problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
How to illustrate the information?It should be noted that an equation is used to show the relationship between the variables.
In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
This will be;
y = 5x + 3
where y = total cost
x = number of miles
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
The total cost is $53.
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Answer:
problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
How to illustrate the information?
It should be noted that an equation is used to show the relationship between the variables.
In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
This will be;
y = 5x + 3
where y = total cost
x = number of miles
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
The total cost is $53.
Step-by-step explanation:
problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
How to illustrate the information?
It should be noted that an equation is used to show the relationship between the variables.
In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
This will be;
y = 5x + 3
where y = total cost
x = number of miles
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
The total cost is $53.
Please answer this my grade depends on it, also I have other problems like these so please feel free to answer them if you would like.
Answer:
-4,-3 and 4,5
Step-by-step explanation:
Solve please need it quick
Answer: The answer for for angle 3 is 112
Step-by-step explanation: Angle 2 is opposite of Angle 3 which means they equal!
Hope this Helps :D
The nearest star to us, Alpha Centauri, is 4.3 light years away. A light year is 5, 865,696,000,000 miles. How far away is Alpha Centauri in miles? Express your a swer in scientific notation?
Answer:
2.52224885 x [tex]10^{13}[/tex]
Step-by-step explanation:
4.3 x 5.865695 x [tex]10^{12}[/tex]
25.2224885 x [tex]10^{12}[/tex]
2.52224885 x [tex]10^{13}[/tex]
Swimming pool A holds 2^15 gallons of water. Swimming pool B hold 2^13 gallons of water. How many times as many gallons does pool A holds than pool B?
Answer:
4
Step-by-step explanation:
[tex]\frac{2^{15}}{2^{13}}=2^{15-13}=2^2=4[/tex]
PLEASE HELP ASAP 30 POINTS!
Answer:
-4/3
Step-by-step explanation:
Answer:-4/3
Step-by-step explanation:
If 8x+48x+4 is 10 less than 54 , what is the value of 2x2x ?
Answer:
x=5/7 so (2x + 2x) = 2 6/20
Step-by-step explanation:
48x + 8x + 4 = 44
56x + 4 = 44
44 - 4 = 40
40/56 = 5/7
-2x - 8y = 14, 2x + 8y = - 14
A truck rental is $30 plus $.40 /mi. Find out how many miles Ken traveled if his bill was $58.80 .
Answer:
72 miles
Step-by-step explanation:
Let x equal the miles Ken travelled; this is what we need to find. Our equation is
$30 + $.40x = $58.80
Subtract $30 from both sides
$.40x = $28.80
Divide both sides by $.40
72 miles
step by step solution for 4(x-3)=0.5x+2
Answer:
x = 4
Step-by-step explanation:
4(x-3) = 0.5x +2
Multiply both sides by 10
40(x-3) + 5x + 20
Simplify (multiply 40 by x-3)
40x - 120 = 5x + 20
Add 120 to both sides
40x = 5x + 140
Subtract 5x from both sides
35x = 140
Divide 35 on both sides
x = 4
Irina ran 1/2 in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?
Answer:
Step-by-step explanation:
14 mins
this is because if we divide 2 but 1/2 you would get 4
since she can run 1/2 a mile in 3 1/2 mins
we should multiply the 3 1/2 buy 4
this would lead to the answer 14
help pls i need this as one and will give 20 points
delta math question
what are the coordinates
Answer for this problem please
Answer:
f(2) = -9, and f(-2) = 19
Step-by-step explanation:
Just plug it in.
If [tex]f(x) =2x^{2} -3x+5[/tex], and you have f(2), and f(- 2), you can do, [tex]f(2) = -2(2^{2} )-3(2)+5[/tex], and [tex]f(-2)=-2(-2^{2} )-3(-2)+5[/tex].
Once you do all the math, you get f(2) = -9, and f(-2) = 19.
Given 7(x, y) = (x + 5, y + 4) and the point P (2, 3), what is 7(P)? please show work so sorry
Answer:
(7, 7)
Step-by-step explanation:
We are given the formula 7(x, y) = (x+5, y+4) for a pair of coordinates (x,y).
P is given as the coordinates: (2, 3), therefore if we substitute P into the equation, we can replace x and y in the given equation for the coordinates of P (2,3).
P is given as (2,3), so 7(P) = 7(2,3).
Using the given formula:
7(2,3) = (2+5, 3+4)
2+5 = 7, 3+4 = 7
Therefore 7(P) = (7, 7)
Hope this helped!
Question
Graph the image of the given triangle, translated 4 units to the right and 5 units down.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (-5, -3), (-1, 3), (2, -1), (-5, -3).
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According to the graph below, what is y when x is 4?
y-axis
10
9
8
2
2
3
x-axis
4
5 6
The numeric value of the function when x = 4 is of: y = 5.
What is the missing information?The graph is not given, but researching the problem on a search engine, it is found that a graph that passes through these following points is given by:
(1,10), (2,8), (3,6), (4,5), (5,2), (6,1).
How to find the numeric value of a function given it's graph?The numeric value of a function is the value of y for the given value of x, hence, we have to look at the value of x on the horizontal axis, and verify the equivalent value of y on the vertical axis.
From the given points in the graph, that we listed in the missing information subsection, we have that the function passes through point(4,5), hence:
The horizontal axis is of x = 4.The vertical axis is of y = 5.Hence:
The numeric value of the function when x = 4 is of: y = 5.
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Cans of soup are stocked in 1,250 sq. ft. of warehouse space. If each can requires 2 1/2 sq. ft. of space, how many cans of soup can be stored in this space?
Answer:
500 cans
Step-by-step explanation:
Let c be the number of cans.
2.5c = 1,250
c = 500 cans
Write inequalities to represent the situations below.
To qualify for the championship, a runner must complete the race in no more than 55 minutes.
Use t to represent the time (in minutes) of a runner who qualifies for the championship.
To be eligible for financial aid, a student must earn less than $20,000 per year.
Use s to represent the yearly earnings (in dollars) of a student eligible for financial aid.
The inequalities which represent the situations as described in the task content are as follows;
t <= 55 minutes.s < $20,000 per year.What inequalities correctly represents the given situations as in the task content?It follows from the task content that the inequalities which correctly represents the situations as described in the task content be determined.
On this note, since the time, t in minutes of a runner who qualifies for the championship must be no more than 55 minutes, it follows that t can be less or at most, equal to 55.
t <= 55.Also, since the yearly earnings of a student must be less than $20,000 per year, it follows that the inequality which represents the situation is;
s < $20,000.Read more on inequalities;
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Wendi got 15 out of 20 questions correct on her English quiz and 9 out of 10 question correct on her math quiz which quiz did she do better on
Answer:
she did better on her math quiz
Step-by-step explanation:
15/20<9/10
15/20<18/20
Simple but effective
Let me know if this helps
Investing for college, Jake originally put $5000 into a savings account that paid 3.5%. There is now $6400 in the account. How long did Jake have the money in the savings account?
Jake put the money in the savings account for about 17.5 years.
Simply explained, a savings account is a place where you can deposit funds and earn interest.
Most people won't pay any tax on their savings interest because it is paid tax-free. Only people with extremely big sums of savings would need to be concerned about this, which is less than 5% of us as basic-rate taxpayers can earn £1,000/year tax-free and higher-rate taxpayers £500.
The interest calculated in a savings account is compound interest:
So let us now calculate the savings rate of interest at 3.5% for the whole time
We know that
[tex]A=P(1+r)^n[/tex]
Where A is the amount , P is the principal , r is the rate and n is the time.
Substituting the values we calculate the value of x.
6400 = 3500 ( 1+0.035 )ⁿ
or, n = 17.54..
So the time required will be about 17.5 years in the savings account.
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ABC Corporation has received an invoice for $4,500 with terms of 3/15, n/50. If ABC pays the invoice on the seventeenth day, what is the effect on the Cash account and will the Cash account be debited or credited?
If ABC pays the invoice on the seventeenth day then the Cash account is debited or credited will be $4500.
What is the trade discount?A quantity or percentage is taken off the list price of a good that is permitted by a producer, a distributor, a reseller, or by one business to someone else in the same industry.
ABC Corporation has been paid a sum of $4500. Given that the payment takes place on the seventeenth day, or after the reduction period of fifteen days, it must be made in full cash on that day. It will thus be $4500 on that day. As a result, $4500 will be deposited into the Cash Account.
The Cash account is debited or credited will be $4500.
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Algebra 1 honors (9th grade) I NEED HELP ASAP I BEG YOU
Answer:
3.5
Step-by-step explanation:
cross multiply
5/0.50 35/x
35 times 0.50 = 17.5
17.5/5 = 3.5
URGENT
The area of rectangle abcd is 28cm^2
What is answer to a and b
Answer:
The answer should be a=10 and b= 4
Step-by-step explanation:
(x+6)(x+4)=28
x^2 +10x + 24 =28
x^2 + 10x= 28-24
x^2 +10x =4
same as
x^2 + ax = b
Pls Help
Find the Least Common Denominator of 5/6 and 3/8, show all of your work:
Answer:
24
Step-by-step explanation: