Answers
Answer:
the angle 3x is 42 degrees, the angle 12x-30=138 degrees
Step-by-step explanation:
first, write an equation to represent the problem.
3x+(12x-30)=180
3x+12x=210
15x=210
x=14
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.
Theory
There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.
In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.
Now that we know that we can solve the problem.
Solving
So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.
Since we know this, we can state the following equation:
[tex]3x+12x-30=180[/tex]
We can say this due to the rule of Supplementary angles adding up to 180 degrees.
We can now use Algebra to simplify the equation:
[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]
After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.
[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]
We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.
Cheers!
Related Questions
16 is equal to the difference of twice a number p and 8.
Answers
(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}
Answers
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...
Answers
Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
What annual rate of interest compounded annually is required to double an investment in 6 years?
Answers
Answer:
Approximately 12.25%
Step-by-step explanation:
The compound interest formula is:
Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)
If we want our final balance to be twice our principal, our formula looks like:
[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]
We can divide our principal from both sides to get the following equation:
[tex]2 = (1 + \frac{r}{1})^{6}[/tex]
Since anything divided by 1 is itself, we can simplify a little further to:
[tex]2 = (1 + r)^{6}[/tex]
Now, we need to solve for r. We can start by taking the sixth root of both sides.
[tex]\sqrt[6]{2} = 1 + r[/tex]
Then subtract 1 from both sides:
[tex]\sqrt[6]{2} -1 = r[/tex]
Finally, we can use a calculator to get a decimal approximation:
0.1225 ≅ r
Ms. Yoon's class went on a camping trip. Ms. Yoon needs to buy 26.6
kilograms of food and she pays $2.35 for each kilogram. Mr. Ortiz, the
math teacher, says Ms. Yoon should round the number of kilograms of
food she needs to the nearest kilogram before buying it to make sure she
had enough. How much extra money would Ms. Yoon spend if she
calculates the cost Mr. Ortiz's way?
Answers
Answer:
rounding off
26.6= 27
27 x $2.35
=$63.45
Step-by-step explanation:
she would spend $ 63.45 for food
in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?
Answers
Answer:
United States:34
Canada:17
Answer:
17 and 34
Step-by-step explanation:
the United States earned 34, while the Canada earned 17
PLZZZ HELP
Find the length of X
Answers
Step-by-step explanation:
x=8 this is the answer have a nice night or day!
I got this problem solved so I no longer need help
Answers
Answer:
then whats the point
Step-by-step explanation:
Mahmoud uses 3 cups of apple juice for every 4 cups of cranberry juice
.
to make a fruit drink.
a
How many cups of apple juice does Mahmoud use for 21 cups of the
combined fruit drink?
Answers
Answer:
9 cups of apple juice
Step-by-step explanation:
PLZZZ I need help on this. I have to answer it in less than 10 minutes. I have short term memory loss and forgot everything I learned on this subject
Answers
Answer:the question is not there
Step-by-step explanation:
Question 13 options:
Isaac drops an apple from the top of a lighthouse, 154 feet above the ground.
The equation to represent the height of the apple at a given time is h=−16t2+154,
where h is the height of the apple, and t is the number of seconds after the apple is dropped.
How many seconds (t) will it take for the apple to hit the ground (h = 0)?
[Find the value of t, rounded to the nearest tenth.]
Answers
Answer:
3.1 sec.
Step-by-step explanation:
A=1/2bh solve for h
Answers
h = 2A/b
Directions: Answer the following questions below on a separate sheet of paper.
Compute for the Income Tax Due of the following:
1. Gross income of 350,000
2. Gross income of 600,000
3. Gross Income of 1,000,000
4. Gross Income of 2,500,000
5. Gross Income of 10,000,000
Answers
Answer:
5. gross income of 10,000,000
Slope is -4 and (6,1) is on the like the equation of the line is
Answers
Answer:
y=-4x+25
Step-by-step explanation:
If this is Point-Slope then:
y-y1=m(x-x1) m=slope
m= -4 Coordinates=(6,1)
y-1=-4(x-6)
y-1= -4x +24
y=-4x+25
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Answers
A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?
Answers
Answer:
$258
Step-by-step explanation:
which temperature values would an interpolation be limited to? less than 3 between 3 and 60 between 20 and 80 greater than 55
Answers
Answer:
B. between 3 and 60
Step-by-step explanation:
Answer: B.
Step-by-step explanation: On Edge! :)
3/5 of 20.2%0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Answers
Answer:
what?
Step-by-step explanation:
2. The number of male teachers is 2/3 of the number of female teachers in a school. If there are 75 teachers altogether, how many more female teachers than male teachers are there?
Answers
Answer:
15
Step-by-step explanation:
Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.
Hope it helped!
There are 15 more female teachers than the male teachers.
What is equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,
Let there be 6x female and 4x male teachers in the school,
Establishing the equation,
6x + 4x = 75
10x = 75
x = 7.5
Number of more females = 6x-4x = 2x = 2(7.5) = 15
Hence, there are 15 more female teachers than the male teachers.
For more reference on equations, click;
https://brainly.com/question/29657983
#SPJ2
grace records the air temp throughout the day in a table. convert graces measurements from degrees °F to degrees °C using formula shown below
Answers
Answer:
...
Step-by-step explanation:
Step by step solve 18×20, I find double 18 and then multiply by 10
Answers
18x10 is 180
18x10 again is 180
180+180=360
A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?
Answers
Answer:
3 hours
Step-by-step explanation:
each hour is 2,000 gallons filled up 1 hour = 2,000
2 hours = 4,000
3 hours = 6,000or 4,850
If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
How many hours has the swimming pool been filling up with water?Given that;
24 gallons of water in the pool to start withThe swimming pool is filled with 2,000 gallons per hourTime taking in filling up 4,850 gallons.The pool is filled with 2,000 gallons in 1 hour
To fill with 4850 gallons, we require x hours
Cross multiply, hence;
x = ( 1hr × 4850 gallons ) / 2,000 gallons
x = 4850hrs / 2000
x = 2.4 hours
Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
Learn more word problems here: brainly.com/question/2610134
#SPJ2
Make each denominator rational. In other words, rationalize the denominator.
A) (√11-1)/√11
B) (3 + √6 )/√6
Answers
The detailed answer is there in the image I have attached.
Hope it helps you....
Please mark as Brainlliest!!!!
a family of four goes to a movie theatre and spends $26.50. they buy 2 tickets for adults, and 3 boxes of popcorn at $2.50 per box. what is the cost of one adult ticket
Answers
Answer:
$9.5
Step-by-step explanation:
3x2.50= 7.50
26.50-7.5 =19
19/2 = 9.5
9.5 for one adult ticket
Hi!
First, let's add (or multiply) the boxes of popcorn.
2.50 + 2.50 + 2.50 (or 2.50 x 3) is 7.50. so the popcorn all together is $7.50.
Next, we subtract the popcorn cost from the cost altogether.
26.50 - 7.50 = $19
Next, we divide the $19 by two.
19 ÷ 2 = 9.50
To make sure this is true, what we do is multiply 2 x 9.50.
2 x 9.50 = 19.
So 9.50 is your answer.(NOTICE: your problem says a family of 4. you didn't give me the total for the other 2 people who were going to the movie, so this is just my estimate for just those 2 adults. If it's not correct, that is the reason why, otherwise, it is the answer.)
Hope this helps!
~~~PicklePoppers~~~I don’t understand what’s it asking for and I don’t know the answer
Answers
If you want me to explain linear equations, slopes, or whatever just ask!
Hope this helped!! :)
Answer:
y_1=9(x_8)
y_1=9x_72
9x_y=71
9x_y_71=0
Which inequality is true when the value of d is −13?
Answers
Answer:
A. -5 - 3(6) > 10
13 > 10
Step-by-step explanation:
give us the options to answer then we can answer it
6th attempt on posting this question and getting an answer :,)
Help haha..?
Answers
Answer:
GCF: (x + 2)(9x + 6)
Step-by-step explanation:
Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:
Solution:Since (x + 2) are common between the two groups, then we can group 9x and 6 together.
In other words:
= 9x(x + 2) + 6(x + 2)
= (9x + 6)(x + 2)
If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:
(9x + 6)(x + 2)
= 9x² + 18x + 6x + 12
= 9x² + 24x + 12
Verify Solution:In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:
Given: 9x(x + 2) + 6(x + 2)
Distribute 9x and 6 into the parenthesis:
= 9x² + 18x + 6x + 12
Combine like terms:
= 9x² + 24x + 12 ⇒ As we can see, this trinomial matches our solution.
Therefore, the correct answer is: (x + 2)(9x + 6).
3.
Use the quadratic function to predict f(x) if x equals 8.
f(x) = 25x^2 − 28x + 585
A. f(8) = 2201
B. f(8) = 2679
C. f(8) = 1614
D. f(8) = 1961
Answers
Answer:
D. f(8) = 1961
Step-by-step explanation:
i know the answer it is i think
To predict f(x) when x equals 8 we simply substitute.
So f(x) = 25x2 28x + 585
f(8) = 25 (8)^2 - 28 (8) + 585
f(8) = 25 * 64 - 224 + 585
f(8) = 1600 - 224 + 585 = 1961
Hencse f(8) = 1961
Hloo friend^_^..___
Q= f(x) = 25x2 − 28x + 585
Solution
________
f(8) = 25*(8)^2 - 28*8 + 585
= 25*64 - 224 + 585
= 1600 - 224 + 585
= 2185-224
= 1961 Ans...
So the correct ans is f(8) = 1961...
I HOPE ITS HELP U MY FRIEND..^_^
BE BRAINLY..
Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.
Answers
[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]
Draw a square and its diagonals. Guess the measures of these angles.
Answers
Answer:
Each angle measures 45° with diagonals
Step-by-step explanation: