Answers
Answer:
x = 60
Step-by-step explanation:
if m and n are parallels, that means that x and 2x would be same side interior angles.
same side interior angles add up to 180
x + 2x = 180
3x = 180
x = 180/3
x = 60
Related Questions
what is 4.193 to the nearest ten
Answers
The answer is 4.2
The 9 is above 5 so it raises the one
Can someone please help me? I need to get 10 of these right and I don’t understand them
Answers
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
38=p−15
PLEASE HELP MEHHHHH
Answers
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
Carey needs $60 to buy her mothers a gift. She has saved 25% of that amount so far. How much has she saved so far?
\
Answers
Answer:
$15
Step-by-step explanation:
Mai skated x miles, and Clare skated ⅗ farther than that. Write an expression for the distance Clare skated.
Answers
Answer:
Its either 8x/5 or 5x/8
im not sure sorry.
7x-6y=9
5x+2y=19 Solve the system using elimination.
Answers
Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
15x+6y=57 +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?
Answers
Answer:
6 19/20 dollars
Step-by-step explanation:
Sonya had 20 dollars to spend on 3 gifts.
She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.
Gift A + Gift B + Gift C = $20
Gift C = $20 - (Gift A + Gift B)
Gift A = $8 1/4
Gift B = $4 4/5
Hence:
The amount she had left for gift C is :
Gift C = $20 - ($8 1/4 + $ 4 4/5)
Gift C = $20 - $13 1/20
Gift C = $ 6 19/20
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answers
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?
Answers
Answer:
wish i could help have a gret day
Step-by-step explanation:
Answer:
43-7=36
Number of children in the group=36/2
=18children are there in the group
Step-by-step explanation:
Ben is a farmer. He used 518 pounds of fertilizer on 16 acres.
How many pounds of fertilizer does Ben use per acre?
Answers
Answer:
32.375 or 32 with a remainder of 3
Step-by-step explanation:
A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.
H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?
A. (x,y) -> (3x, 3y)
Original
B. (x,y) -> (2.5x, 2.5y)
C. (x,y) -> (2x, 2y)
D. (x,y) -> (1.5x, 1.5y)
Answers
Answer: B
Step-by-step explanation:
For the current reaction, 2NO2 ↔ N2O4, we have:
Kc = [tex]\frac{[N_{2} O_{4}]}{[NO_{2}]^{2} }[/tex]
Concentration of NO2 = 11.95
Concebtration of N2O4 = 6.05
Based on the current concentrations of NO2 and N2O4, what is Kc?
Answers
[tex]\displaystyle K_c \approx 0.0424[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightChemistry
Equilibrium
Equilibrium Constant KConcentrations - Denoted in [Brackets]Step-by-step explanation:Step 1: Define
[RxN] 2NO₂ ⇆ N₂O₄
[Equilibrium Rate Law] [tex]\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}[/tex]
NO₂ = 11.95 M
N₂O₄ = 6.05 M
Step 2: Find K
Substitute [ERL]: [tex]\displaystyle K_c = \frac{[6.05]}{[11.95]^2}[/tex]Exponents: [tex]\displaystyle K_c = \frac{[6.05]}{[142.803]}[/tex]Divide: [tex]\displaystyle K_c = 0.042366[/tex]Round (Sig Figs): [tex]\displaystyle K_c \approx 0.0424[/tex]This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).
In Gwinnett, the sales tax is 6%. You buy a watch that costs $45.50. What is the TOTAL cost including tax?
Answers
Answer:The answer is 48.23
A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
Answers
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
Toy Universe is manufacturing a new toy and deciding on a price that will result in a maximum profit. The graph below represents profit (P) generated y each price of a toy (x).
**Graph is attached below (sorry the picture is bad quality)**
Part A: If the company wants to make a maximum profit, what should the price of a new toy be?
Part B: What is the minimum price of a toy that will produce profit for the company? Explain your answer.
Part C: Estimate the value of P(10) and explain what the value means in the problem and how this may be possible.
Part D: If the company wants to make a profit of $137, for how much should the toy be sold.
Part E:Find the domain that will only result in a profit for the company and find its corresponding range of profit.
Part F: The company owner believes that selling the toy at a higher price will result in a greater profit . Explain to the owner how selling the toy at a higher price will affect the profit.
Answers
Answer:
A: $6
B: $2.01
C: $0
D: $4.50 or $7.50
E: 0 ≤ x ≥ 10
F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.
Step-by-step explanation:
{Data Expunged}
i need help on this
Answers
Answer:
(500÷1.8)÷60
By dividing 1.8 out of 500, u can know
I really need help for this geometry question, I would appreciate any help thank you.
Answers
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)
Answers
Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
Figure #2
2. What is x?
А 58
C 122
990
B
48
D
218
42
Answers
the inside of a triangle adds to 180, so by subtracting the inner corner numbers already known (80&42) you’re left with 58
Please help ASAP help please
Answers
Answer:
The ladder is 10 ft long...
What is the slope of line P? And then what is the slope of line Q?
Answers
Slope of q = -3
Q= -3/1
Rise over run q is going to the left so it’s negative
can someone anyone please help me asap
Answers
<33
Answer:
the answer is option : D
Step-by-step explanation:
multiply 9 with the given hrs to find the correct one
What is the LCM of 2 and 8
Answers
Answer:
its 8
Step-by-step explanation:
Answer:
nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh
Step-by-step explanation:
If you want to show an increase to the original quantity, how could you change the bar diagram?
Answers
Answer:
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?
Step-by-step explanation:
yall please help me with this math question :/
Answers
What is the slope of the line?
Answers
Answer:
Step-by-step explanation:
by inspection.. ( looking at the graph) we can see that the slope is down hill. so it's going to be negative and also slope = rise / run [rise is negative in this question] soo ... i'm looking carefully to see where the line is crossing the grid marks exactly .. it looks like to me (-3,1) and (2,-3) you tell me if that looks right... if it does .. then the rise / run is 4/5 and this is a negative slope sooo
- 4/5
:)
PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6
Answers
Answer:
C
Step-by-step explanation:
The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is
[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
14x = 98 ( divide both sides by 14 )
x = 7 → C
add 7 to 5, then divide b by the result
Answers
Answer:
you didnt say what b was but itd be 12/b
Step-by-step explanation:
Answer:
b/12
Step-by-step explanation:
whats b?
7 + 5 = 12
so whatever b is, divide that by 12
b/12
Match the following equation to the correct situation.
s − s(21%) = s(79%)
A.
the price for a shirt that originally cost s after a 21% discount
B.
the amount that Anis owes on his car was 21% of s
C.
the amount that Katie paid for a pair of jeans with 21% tax on s
D.
the amount Doug gave to the local heart association was 21% of s
Answers
Answer: A. the price for a shirt that originally cost s after a 21% discount
Step-by-step explanation:
what is the 7th term of the geometric sequence for 400, 200,100,....
Answers
Step-by-step explanation:
400,200,100,50,25,12.5, ...... 0.78125