Answers
====================================================
Explanation:
The smaller angles AOB and BOC combine to the largest angle AOC
By the angle addition postulate, we can say,
(angleAOB) + (angleBOC) = (angleAOC)
(3x+4) + (8x-28) = 108
11x-24 = 108
11x = 108+24 .... adding 24 to both sides
11x = 132
x = 132/11 .... dividing both sides by 11
x = 12
We can use this x value to find each angle
angle AOB = 3x+4 = 3*12+4 = 40 degrees
angle BOC = 8x-28 = 8*12-28 = 68 degrees
As a check,
(angleAOB)+(angleBOC) = (40)+(68) = 108
which matches with the measure of angle AOC. This confirms our answers.
Answer:
[tex]AOB = 40[/tex]
Step-by-step explanation:
[tex]AOC = 108 \\
AOB = 3x + 4 \\
BOC = 8x - 28 \\ but \: AOB +BOC =AOC \\ 3x + 4 + 8x - 28 = 108\\ 11x = 132 \\ x = 12\\ AOB = 3x + 4 = 3(12) + 4 \\ AOB = 40[/tex]
Related Questions
You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
Answers
Area of rectangle=length multiplied by breadth
=11 multiplied by 6.5= 71.5ft^2
ASAPPP!!!
g(x)
5
4
4 3
3+
2
f(x) = 4x - 1
h(x) = cos(x + 211)
-3
12
3/1
- 1
-2
-3
-4
Using complete sentences, explain which function has the greatest y-intercept.
Answers
Answer:
5 9
Step-by-step explanation:
MATH QUESTION PLS HELP!
Answers
Answer:
4) -14/5
Step-by-step explanation:
Which is the graph of x - y = 1
Answers
Answer: its is the third one C.)
Step-by-step explanation:
Each month, your phone company charges you a fee of 15 cents per minute as well as a service fee of $6.95 . Write a linear function rule that models the number of dollars y you pay each month for any number of minutes x.
Answers
Answer:
y=$9x+$6.95
Step-by-step explanation:
Answer:
$7.10
Step-by-step explanation:
6.95+.15=7.10
10 times the sum of half a number x and 4 is 6
Answers
Answer:
-10.4
Step-by-step explanation:
Assume that the number we are looking for is x.
Now, we want to get 10 times the sum of half the number and 6 and equate this expression to 8. Then we can solve for x
step by step
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8
Now solve for x
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
BRAINIEST IF RIGHT George and his dad are planning to attend the state fair. An adult ticket is $19.00. The price of an adult ticket is one third the price of a student ticket plus $15.00. Write an equation to determine how much George will pay for a student ticket.
A one thirdx + 19 = 15
B one thirdx + 15 = 19
C one thirdx − 19 = 15
D one thirdx − 15 = 19
Answers
Answer:
1/3x+15=19
Step-by-step explanation:
so B
Answer:
its b
Step-by-step explanation:
you dont know the price if the student tick so it represents x... one third of a student ticket would be one thirdx. after you do that you will have to add the extra 15 dollars to it in order to get the price if 19 dollars per adult ticket.
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answers
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
[tex]express \: \: \sqrt{48} + \sqrt{108} \: \: in \: \: \: form \: \: of \: \: k \sqrt{6} \\ where \: \: k \: \: is \: \: a \: \: \: surd.[/tex]
pls help me!!
Answers
Answer:
[tex]10 \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{48} + \sqrt{108} \: \: in \: \: \: form \: \: of \: \: k \sqrt{6} \\ \sqrt{48} + \sqrt{108} = \sqrt{(4 \times 4 \times 3)} + \sqrt{(9 \times 3 \times 4)} = \\ 4 \sqrt{3} + 6 \sqrt{3} = 10 \sqrt{3} [/tex]
Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?
Answers
Answer:
35 min
Step-by-step explanation:
given that the total time spent is 140min
and that the time spent reading is x minutes
and also that the time spent doing home work is 2(x+5)
the time spent playing video game is 25
the expression for the total time is given as
total = reading +homework +video game
140=x+2(x+5)+25
solving for x we have
140=x+2x+10+25
140=3x+35
140-35=3x
105=3x
x=105/3
x=35
kenny spent 35 min reading
Time spend for reading is 35 minutes
Given that;
Total number of minutes Kenny have = 140 minutes
Time spend for reading = x
Time spend for homework = 2(x + 5) = 2x + 10
Time spend for games = 25 minutes
Find:
Time spend for reading
Computation:
Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games
140 = x + 2x + 10 + 25
3x + 35 = 140
3x = 105
x = 105 / 3
x = 35
So,
Time spend for reading = 35 minutes
Learn more:
https://brainly.com/question/23129403?referrer=searchResults
24. Janet and Jack are walking in a two-day event to raise money for charity.
Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she
walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile
he walks. At how many miles of walking would Janet and Jack collect the
same amount of money?
Answers
Answer:
40 miles walk
Step-by-step explanation:
Let the miles walked by both of them be x at which money collected by same
for Janet
Fixed donation asked = $7.50
money asked for walking 1 mile = $0.10
money made by Janet if he walks x miles = x*$0.10 = $0.10x
Total money collected by Janet = Fixed donation asked + money made by Janet if he walks x miles
Total money collected by Janet =7.50 + 0.10x
For Jack
Fixed donation asked = $5.50
money asked for walking 1 mile = $0.15
money made by Janet if he walks x miles = x*$0.15 = $0.15x
Total money collected by Jack = Fixed donation asked + money made by Jack if he walks x miles
Total money collected by Jack =5.50 + 0.15x
we have to find miles at which money collected by both of them be same
and we have decided that it it as x mile walk then
Total money collected by Janet = Total money collected by Jack
7.50 + 0.10x = 5.50 + 0.15x
=> 7.50 - 5.50 = 0.15x - 0.10x
=> 2 = 0.05x
=> x = 2/0.05 = 40
Thus, at 40 miles walk money collected by both of them will be same
Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days
Answers
Answer:
In 1 day, 1.70
In two days 0.022
Note; Unit was not given in the question, I would have included it
Step-by-step explanation:
Here, we are to calculate the amount of caffeine remaining in the body.
To calculate this, we simply substitute for the number of hours t in the equation.
In one day , we have 24 hours
So our substitution will be t = 24
Hence; for a day;
g(24) = 130(0.8346)^24 = 1.70
For two days, we have t = 48 hours
Thus; g(48) = 130(0.8346)^48 = 0.022
uehfeoierkghlkwehglubn;oruitoetu
help
Answers
Answer:
x = 118/7 or 16.86
Step-by-step explanation:
Assuming these are supplementary like you showed in the picture,
59 + 3 + 7x = 180
subtract 62 from both sides
7x = 118
divide by 7
x = 16.86
If they are complementary, x = 4
I hope this helps!
easy questions pls help (question in picture)
Answers
Answer:
1. P= 80
60/.75=80
2. x= 5/3
-27/25x / -27/25= -9/5 / -27/25
-9/5 / -27/25 --- -9/5 x -25/27
3. -300
-2.7/-2.7 = 810/-2.7
4. 120
84x100/70
84/x = 70/100
1. p=80
=(60×4)÷3
=240÷3
=80
2.x=1.6667
={-9/5}×{-25/27}
=1.6667
3.t=-300
=(810÷-2.7)
=(810×10)÷(-2.7×10)
=(8100÷(-27)
=300
Help please in the photo
Answers
Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies. Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread. How many cups of flour are left?
Answers
Answer:
10.1
Step-by-step explanation:
19.3-2.9=16.4
16.4-1.2=15.2
15.2-5.1=10.1
so there are 10.1 cups of flower left
Answer:11.3
Step-by-step explanation:
19.3 - 2.9 -5.1= 11.3
You don't subtract the 1.2 cups of sugar because it's only asking about the flour.
what is the solution for:
x-10= -4x
Answers
Answer:
Step-by-step explanation:
Bringing like terms on one side
-10 = - 4x - x
-10 = - 5x
-10/-5 = x
2 = x
The commission earned on the sale of a car can be represented by the equation c(p)= 250+0.02p where c represents the commission and p represents the purchase price of the car.
a) Jack sold two cars last weekend, one for $15,075 and the other for $21,640. Find his total commission.
b) if c(p) = 745.80, find the purchase price of the car.
Answers
If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day?
Answers
Answer:
Step-by-step explanation:
120 million * .75
90 million roses were sold on valentines day
Answer:
there were 90 roses sold on valentines day
Step-by-step explanation:
part=%*whole
p=75%*120
p=90
Marco has saved $279 for karate lessons. He bought a uniform for $56 and pays $14 per class. Which inequality represents the number of classes, c, Marco can take and stay within his budget
Answers
Answer:
B.
Step-by-step explanation:
Since the main goal for Marco is to stay under his budget which is 279, it's expected that he would want to spend less than or equal to his budget and that is the point to spend less than our goal of spending limit. If the cost of uniform and the cost of each of his classes are less than how much money he wants to spend, than that is going to still be within his budget even if the equation equals to 279 it is still within his budget anything greater would be consider over spending past his budget. Therefore making all other equations false.
362 equals w times 271
Write the sentence as an equation
Answers
Answer:
362=271w
Step-by-step explanation:
If theres a letter(variable) beside a number it means mutiplication.
Hope this helps!
HELP QUICK PLEASE!!! and please explain bc I'm confused.
∠A and ∠B are vertical angles.
If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Answers
Answer:
Step-by-step explanation:
8x+14=2x=50
6X+14=50
6X=36
X=6
2(6)+50
12+50
Angle B equals 62
Solve for y: 3x +y = 12
PLEASE SHOW STEPS.
Brainliest
Answers
Answer:
y=6
Step-by-step explanation:
you can do 3x2 to get 6. 12-6=6 so y can equal 6
Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.
Answers
2.25 times 2.80 gives the cost for the total coleslaw, which is $6.30
2 times 3.15 gives the cost for the total macaroni salad, which is also $6.30
Add those together and you get $12.60, which is larger than $10, so it is not enough
52$ tie; 50% discount
Answers
Answer:
$26
Step-by-step explanation:
its 50% , just divide by 2
Answer:
52/2 = $26
Step-by-step explanation:
50% is half, so simply divide it by 2
The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (negative 1, 0), (0, 3), (3, negative 1), (9, 9). Complete the statement. f(3) is .
Answers
Answer:
-1
Step-by-step explanation:
The value of f(3) is -1.
What is a Mapping Diagram?A mapping diagram is an image of two circles which shows two values corresponding to each other, such that one is the input value to the function and the other is the output value.
The input value circle represents the domain of the function and the output value circle represents the range of the function.
To check if the mapping diagram shows a function, it is observed that one input value is connected to only one output value.
The input and output value in the mapping diagram is:
(negative 1, 0), (0, 3), (3, negative 1), (9, 9).
The domain of the function is ( -1 , 0 , 3 , 9)
The range of the function is ( 0 , 3 , -1 , 9)
The value of f(3) is the value of function at input value of 3.
f(3) = -1
To know more about Mapping Diagram
https://brainly.com/question/12949831
#SPJ5
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
Answers
The answer is m<D=14*
Calculate the slope between the points: (4, -9) and (5, 1)
a
m=10
b
m=1/10
с
m=-10
d
m=-1/10
Answers
Answer:
The answer is A- m=10
Step-by-step explanation:
The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4 = 1. 10 over 1, or 10 / 1, equals 10.
determine which is less expensive per can a 6 pack of soda for 2.20 or a 12 pack of soda for 4.25 explain
Answers
Answer:
the 12 pack would be cheaper
Step-by-step explanation:
first you would find the price of one can (2.20/6)=.37 and (4.25/12)=0.354
the cheapest would be the 12 pack
answer pls--
^^
:D
hehe
Answers
Answer:
42.24 in
Step-by-step explanation:
The formula for area is 1/2bh
1/2 x 8.8 x 9.6
use calculator
=42.24
Have a great day!
Answer:
The answer is 42.24