1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
3 years ago
6

Geometry please help

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below

P.s: I used the Law of Sines, but there are many other ways to solve it

You might be interested in
Please help I don’t understand this
enyata [817]

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  \displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}

At this point, you're supposed to know the factoring of the difference of squares:

  \displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}

4 0
3 years ago
100 Points PLEASE ANSWER ASP! Will Give BRAINLIST!
VikaD [51]

Let's work to solve this system of equations:

y = 2x ~~~~~~~~\gray{\text{Equation 1}}y=2x        Equation 1

x + y = 24 ~~~~~~~~\gray{\text{Equation 2}}x+y=24        Equation 2

The tricky thing is that there are two variables, xx and yy. If only we could get rid of one of the variables...

Here's an idea! Equation 11 tells us that \goldD{2x}2x and \goldD yy are equal. So let's plug in \goldD{2x}2x for \goldD yy in Equation 22 to get rid of the yy variable in that equation:

\begin{aligned} x + \goldD y &= 24 &\gray{\text{Equation 2}} \\\\ x + \goldD{2x} &= 24 &\gray{\text{Substitute 2x for y}}\end{aligned}  

x+y

x+2x

​    

=24

=24

​    

Equation 2

Substitute 2x for y

​  

Brilliant! Now we have an equation with just the xx variable that we know how to solve:

x+2x3x 3x3x=24=24=243=8Divide each side by 3

Nice! So we know that xx equals 88. But remember that we are looking for an ordered pair. We need a yy value as well. Let's use the first equation to find yy when xx equals 88:

\begin{aligned} y &= 2\blueD x &\gray{\text{Equation 1}} \\\\ y &= 2(\blueD8) &\gray{\text{Substitute 8 for x}}\\\\ \greenD y &\greenD= \greenD{16}\end{aligned}  

y

y

y

​    

=2x

=2(8)

=16

​    

Equation 1

Substitute 8 for x

​  

Sweet! So the solution to the system of equations is (\blueD8, \greenD{16})(8,16). It's always a good idea to check the solution back in the original equations just to be sure.

Let's check the first equation:

\begin{aligned} y &= 2x \\\\ \greenD{16} &\stackrel?= 2(\blueD{8}) &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 16 &= 16 &\gray{\text{Yes!}}\end{aligned}  

y

16

16

​    

=2x

=

?

2(8)

=16

​    

Plug in x = 8 and y = 16

Yes!

​  

Let's check the second equation:

\begin{aligned} x +y &= 24 \\\\ \blueD{8} + \greenD{16} &\stackrel?= 24 &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 24 &= 24 &\gray{\text{Yes!}}\end{aligned}  

x+y

8+16

24

​    

=24

=

?

24

=24

​    

Plug in x = 8 and y = 16

Yes!

​  

Great! (\blueD8, \greenD{16})(8,16) is indeed a solution. We must not have made any mistakes.

Your turn to solve a system of equations using substitution.

Use substitution to solve the following system of equations.

4x + y = 284x+y=28

y = 3xy=3x

4 0
3 years ago
Read 2 more answers
Whitch is the simplified form of the expression 5(14-2)^2 over 2
Anika [276]
[5(14-2)^2]/2=
(5•12^2)/2=
5•144/2=
5•72=
720/2= 360
7 0
3 years ago
At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is repr
Sedbober [7]

Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

6 0
3 years ago
The city airport and the train station are 45 miles apart. there are 9 gas stations equally spaced between the airport and train
Zielflug [23.3K]

The distance between the two adjacent gas stations will be 5 miles.

<h3>What is the difference between a ratio and a proportion?</h3>

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Distance between city airport and the train station = 45 miles

Stations equally spaced between the airport and train station=9

Let the space between two gas stations will be x;

x = 45/9

x=5 mile.

Hence, the distance between the two adjacent gas stations will be 5 miles.

To learn more about the ratio, refer to the link;

brainly.com/question/14335762

#SPJ1

6 0
2 years ago
Other questions:
  • Solve for z.
    10·2 answers
  • Write an absolute value inequality that has 3 and -6 as two of its solutions
    9·1 answer
  • what is the number name for 18.32? A.eighteen and thirty two tenth B. eighteen and thirty two thousandths C. eighteen and thirty
    14·1 answer
  • I have difficulty figuring out surface area so I hope you wouldn't mind helping me
    11·2 answers
  • Axis of symmetry help needed! Algebra
    11·1 answer
  • How do you solve polynomial equation by factoring<br> 2x^3 - 12x^2 = 32x - 192
    14·1 answer
  • A lottery game has balls numbered 1 through 15.
    9·2 answers
  • A stock has a price of $72.31. This is $6.28 less than the price of the stock yesterday. Write and solve an equation to find the
    15·2 answers
  • Reduce 105 in the ratio 3:5​
    10·1 answer
  • Choose the number sentence that applies the commutative property to the example.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!