Answers
Answer:
120°
Step-by-step explanation:
[tex]m\angle S = 180\degree - 2\times 30\degree \\\\
m\angle S = 180\degree - 60\degree \\\\
\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]
Related Questions
a group of fifth graders collected 46 cans of food to donate to three food banks. If each food bank is get an equal number of cans, how many cans do the each receive
Answers
Answer:
about 15.3.
Step-by-step explanation:
46 divided by 3. ig
the answer is yes or no ?
Answers
one pound is around 2.5 dollars
Answer:
No!!
Step-by-step explanation:
For every 1 pound it costs $2⁵⁰
For every 2 pounds it costs $5⁰⁰
For every 3 pounds it costs $7⁵⁰
and so on going by 2.50 each pound.
Permutations vs combinations(one step):
The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?
Answers
Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
holly has $10.00. she saw a purse in a catalog that was marked $14.95 plus 5 sales tax
Answers
Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.
Step-by-step explanation:
Answer: A. $5.70
Step-by-step explanation:
Please anyone answer it’s a time limit please answer please please help anyone please.
Answers
Answer:
(-3,-8)
Step-by-step explanation:
I would explain but that would take too much time.
Answer:
3-8
Step-by-step explanation:
uhh.i dumb the screenshot is here
Answers
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
+
Write the polynomial "5a2+3a²+a+1” in standard form (from greatest power to
lowest):
Answers
Answer:
8a2+a+ 1
Step-by-step explanation:
just so I know the 5a2 is 5a square r?
transversals angles
Answers
Answer:
It is C. 3
Step-by-step explanation:
Hope this helped have an amazing day!
Logan is working two summer jobs, making $18 per hour tutoring and making $10 per hour clearing tables. In a given week, he can work a maximum of 13 total hours and must earn at least $170. If xx represents the number of hours tutoring and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer: he could work 7 hours tutoring and 6 hours clearing tables
Step-by-step explanation:
The system of inequalities can be used to find the number of hours Logan
can spend on each job in a week.
Response:
The system of inequalities are;
x + y ≤ 1318·x + 10·y ≥ 170A possible solution of the system of inequality obtained from the graph is the point (5, 8)
x = 5, and y = 8Methods used to solve the inequality graphicallyThe amount Logan makes per hour tutoring = $18 per hour
The amount he makes clearing tables = $10 per hour
Number of hours Logan can work in a week = 13
Amount he must earn in a week = At least $170
Number of hours he spends tutoring = x
Number of hours he spends clearing tables = y
Based on the given information, we have;
x + y ≤ 1318·x + 10·y ≥ 170Please find attached the graph of the above inequality showing the feasible region.
A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;
A possible solution is x = 5, y = 8Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.
Learn more about inequalities here:
https://brainly.com/question/8284035
I need help with this geometry problem please
Answers
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
4. What is the value of -24 + 6?
Answers
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Answers
Thats insane tho!
Whats ur aops class that you take?
ANSWER PLEASE 40 POINTS!
Answers
Answer: |10 - (-8)|
The absolute value is 18
Step-by-step explanation:
The distance between two numbers is a subtraction equation.
10 - (-8) Subtracting a negative is like adding a positive
10 + 8 = 18
If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"
Answer:
|-10 - (-8)|
Step-by-step explanation:
Distance from 10 to 0: 10Distance from 0 to -8: 8Put them together (with absolute value): |-10 - (-8)|I hope this helps!
a precision CD player costs $600 but was sold for $525 due to damage
. the percentage loss on the CD player
Answers
Answer:
12.5% (I think)
Step-by-step explanation:
75 is the amount of money lost, and 75 is 12.5 percent of 600
Answer:
12.5 percent decrease
Step-by-step explanation:
Use the formula
new-old/old
525 is new price being sold
600 is old price being sold
525-600
-75/600
-1/8
-1/8= -0.125
0.125= 12.5 percent
so 12.5 percent decrease.
Treys gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Treys tank hold?
Answers
Answer:
Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"
Let x = gallons to fill the tank
14
multiply by 12
12*3%2F4x = 12*1%2F6x + 12(14)
3(3x) = 2x + 168
9x - 2x = 168
7x = 168
x = 168/7
x = 24 gallons
:
see if that is true
1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank
The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?
Answers
Answer:
You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.Is this correct? I’m too tired and confused to understand this..
Answers
Answer:
yes
Step-by-step explanation:
I think ur right because ur smart :)
Answer:
yeah lol
Step-by-step explanation:
81/11 as a mixed number
Answers
Answer:
7 4/11
Step-by-step explanation:
this is the answer
Answer:
7 4/11
Step-by-step explanation:
81/11= 7 4/11
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
A school group is planning a trip to Jacksonville, Florida. There are 29 people going on the trip. They have agreed to share the total cost of the trip equally. Let s equal each person’s share of the cost. What is each person’s share of the cost? Solve this problem any way you choose. bus cost 7,830$ the hotel cost 10,034$ the meal cost 812$ the event ticket cost 435$ the cost of eveyting is 19,111$
Answers
Answer:659
Step-by-step explanation:
1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please
Answers
Answer:
1) x=10 2) x= -7.25
Step-by-step explanation:
Im not sure
what is 53829-(-538)7902(6)=?
Answers
Answer:
25561485
Step-by-step explanation:
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answers
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answers
Answer:
The answer is (4,1). Substitute the x and y values into the system and you should have the answer.
Answer:
option one
Step-by-step explanation:
Please help me will be much appreciated <3
Answers
Answer:
She earned 300 dollars by selling 100 headbands.
emily is entering a bicycle race for charity. her mother pledges $0.40 for every 0.25 mile she bikes. if emily bikes 6 miles how much will her mother donate
Answers
Answer:
$9.60
Step-by-step explanation:
0.40(6/0.25)
0.40(24)
9.6
Answer:
the correct answer is $2.40
Step-by-step explanation:
0.40= every 0.25miles
for 6 miles it will be 2.40 because u multiply 6 with 0.40 and u get the answer
uhmmmm... yea............
Answers
Answer:
You add 12.5+12.5+3.02+3.02 which equals 31.04
Step-by-step explanation:
You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____
Answers
Answer:
Step-by-step explanation:
7.49+6.21= 13.70
Your cell phone provider charges a monthly fee of $30. You are also charged $0.07 per minute
for each minute. Last month, Mr. Gonzales' bill was $59.40. Let m represent the total number
of minutes Mr. Gonzales used last month. Use the verbal model below to write an equation.
Answers
Answer:
0.07m + 30 = 59.40
Mr Gonzalez used 420 minutes last month
Step-by-step explanation:
To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.
Then, add 30 to this to represent the monthly fee:
0.07m + 30
Lastly, set this equal to 59.40 because that was his total bill for the month:
0.07m + 30 = 59.40
So, the equation for the situation is 0.07m + 30 = 59.40
Solve for m in the equation:
0.07m + 30 = 59.40
0.07m = 29.40
m = 420
So, Mr Gonzalez used 420 minutes last month.
Answer:59.40
Step-by-step explanation:
parallel lines, transversal, and algebra really need help
Answers
Answer:
1. 58 = 5x-2, 60 = 5x, x = 12
2. 134 = 16x+22, 112 = 16x, x = 7
3. 125 = 7x-1, 126 = 7x, x = 18
4. 133+9x+2 = 180, 9x=45, x=6
5. 8x-77 = 3x+38, 5x = 115, x=23
6. 11x-47 = 6x-2, 5x = 45, x=9
7. 13x-21 = 5x+75, 8x = 96, x=12
8. 5x+3+9x-33 = 180, 14x = 210, x=15
9. 8x-31 = 6x+3, 2x = 34, x=17
5y+35+6(17)+3 = 180, 5y = 40, y = 8
10. 29x-3+15x+7 = 180, 44x = 176, x=4
13y-17+15(4)+7 = 180, 13y = 130, y=10
1. x = 12
2. x = 7
3. x = 18
4. x = 5
5. x = 23
6. x = 9
7. x = 12
8. x = 15
9. x = 17; y = 8
10. x = 4; y = 10
To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:
corresponding angles are congruent (i.e. equal to each other)vertically opposite angles are congruent alternate angles are congruent same-side interior angles are supplementary (i.e. sum up to give 180°alternate exterior angles are congruent.Let's solve the given problems as shown below given that line l is parallel to line m:
1. [tex]58 = (5x - 2)[/tex] (corresponding angles)
solve for x
[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)
[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)
[tex]12 = x\\x = 12[/tex]
2. [tex]134 = 16x+22[/tex] (alternate exterior angles)
[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)
[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)
[tex]7 = x\\x = 7[/tex]
3. [tex]7x - 1 = 125[/tex] (alternate angles)
[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]
4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)
[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]
5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)
[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]
6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)
[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]
7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)
[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]
8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)
[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]
9. [tex]8x-31 = 6x+3[/tex] (alternate angles)
[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]
Solve for y
[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)
[tex]5y + 35 + 6x + 3 = 180\\[/tex]
Plug in the value of x
[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]
10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)
Solve for y
[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)
Plug in the value of x
[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]
Learn more about parallel lines here:
https://brainly.com/question/16227989