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
pishuonlain [190]
3 years ago
7

Solve for x. Help please

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
You might be interested in
Papa john is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy?
mojhsa [17]

Answer:

<h2>Jimmy is 16 old.</h2>

Step-by-step explanation:

J - the age of Jimmy John

50 - the age of Papa John

3J + 2 - the age of Papa John

The euaqtion:

3J + 2 = 50             <em>subtract 2 from both sides</em>

3J + 2 - 2 = 50 - 2

3J = 48          <em>divide both sides by 3</em>

3J/3 = 48/3

J = 16

4 0
4 years ago
-X2 - x + 42
Advocard [28]

Answer:

c frign ritard

Step-by-step explanation:

3 0
3 years ago
Using the formula r=d/t where d is the distance in miles, r is the rate and t is the time in hours at which rate must you travel
valentina_108 [34]

r =  \frac{337.5}{4.5}  \\ r = 75
the answer is c-75mph
6 0
4 years ago
Read 2 more answers
21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an
Dennis_Churaev [7]

Answer:

first, u need to know the formula for compound interest, which is:

A = P(1 + \frac{r}{100})^{n}

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

so

we have

A = 475(1 + \frac{3.8}{100})^{4}

3.8/100 = 0.038

1+0.038 =1.038

1.038^4 = 1.160885573136

475 * 1.160885573136 = 551.4206472396‬

approximately $551.42

5 0
4 years ago
What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
4 years ago
Read 2 more answers
Other questions:
  • An elephant eats 5% of his body weight each day if he eats 300 pounds of food,how much does it weigh?
    11·1 answer
  • Based on the table of values below, find the slope between points where x = 2 and where x = 6. x 2,4,6 and Y 12, 10,4
    12·1 answer
  • Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many
    8·1 answer
  • According to the Ruler Postulate, what does the set of points on any line correspond to?
    11·1 answer
  • FIND THE VOLUME OF A CONE 0F DIAMETER 14M AND HEIGHT 21CM. (TAKE = 3 )
    6·1 answer
  • The distance a car travels can be found using the formula d = (r)(t), where d is the distance, r is the rate of speed, and t is
    13·1 answer
  • In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segm
    9·1 answer
  • The square root of a product of two positive real numbers is the product of their square roots. Write an algebraic expression ba
    12·1 answer
  • A high school coach wants to buy new athletic shorts for the 15 members of the basketball team.The coach must spend less than $2
    5·1 answer
  • HELP PLZ, im doing a quiz and i need answers!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!