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
Komok [63]
3 years ago
12

What is the value of the variables?

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

\frac{Big Side}{Big Side} =\frac{little side}{little side}

where Big represents the bigger triangle an little represents the smaller triangle.

\frac{8}{16}=\frac{w}{12+w}

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

\frac{8}{22}=\frac{12}{24+x}

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

You might be interested in
  Why only one of the intercepts is enough to determine a line function when the slope is constant?
dybincka [34]

Answer:

Step-by-step explanation:

none of above

Ur welcome

5 0
3 years ago
Given cos 0 = 4V2/7, find sin 0.<br> sin 0 =<br> V[?]/?
zmey [24]

sin =  \frac{ \sqrt{17} }{7}

8 0
2 years ago
A direct function of Gene is?
uranmaximum [27]
It is called proteins
5 0
3 years ago
Katy finished 1/3 of her bag of Halloween candy in 3 days.How many days would it take for her to finish the entire bag of candy?
Lunna [17]

Answer:

Presuming she eats the same amount of sweets each day, 9 days

Step-by-step explanation

5 0
3 years ago
To convert 132 milligrams to grams, you can set up the proportion x/132 mg = 1,000/ 1 g
marin [14]

Answer:

FALSE

Step-by-step explanation: You can convert 132 milligrams by using the KHDUDCM(King Henry Died Unusually Drinking Chocolate Milk) And you will have to add three zeros to 132.  (I might be incorrect)

5 0
2 years ago
Read 2 more answers
Other questions:
  • A drawer is filled with 7 black shirts,5 white shirts,10 gray shirts. one shirt is chosen at random from the drawer. find the pr
    8·1 answer
  • Ms. gutierrez needs to order rope for her gym class of 32 students. each student will receive a piece of rope that is 5 feet 8 i
    15·2 answers
  • If Katie had 16 pencils how many pencils does Maggie gives to jamal
    14·1 answer
  • You drop a rock off a bridge.
    8·1 answer
  • Help please, which one is a quadratic expression?
    12·1 answer
  • There are 15 more pens in Nina's container than the number m of
    6·1 answer
  • Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function not
    11·1 answer
  • 6. Meena’s family had a pizza for dinner. The pizza was cut into 8 equal pieces. Meena ate 1 piece, her brother ate 2 pieces, an
    11·1 answer
  • Bob was thinking of two numbers. He said the larger of his numbers was 8 more than the smaller number. He chose to represent the
    11·1 answer
  • Every day in gym class, the fourth graders warm up and play a game. Today, the class warmed up for 8 minutes. Then, they played
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!