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
Rina8888 [55]
3 years ago
11

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. Yo

u must show all of your work to receive credit.
Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

(20x + 381) / (20x + 108) = 703/444

444 (20x + 381) = 703 (20x + 108)

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

<span>x = 18</span>

You might be interested in
If sod costs $0.39 per square foot, how much will it cost to sod the lawn of 90ft and 180ft?
miss Akunina [59]

Answer:

$6,318

Step-by-step explanation:

1. Multiply 180 and 90 to find the area of the land which is 16,200 square feet

2. Multiply 16,200 by 0.39 to find the cost which will end up being $6,318

8 0
3 years ago
10 to the 4th power times 4 to the 10th power over 4 to the 5th power
Vedmedyk [2.9K]

Answer:

hello.

Step-by-step explanation:

\frac{ {4}^{10}  \times  {10}^{4} }{ {4}^{5} }  =  {4}^{5}  \times  {10}^{4}  =  {2}^{10}  \times  {10}^{4}  = 1024 \times  {10}^{4}

hope this is the answer but not sure

6 0
1 year ago
a town had about 2120 acres of pine trees 40 years ago. Only about 13% of the pine trees remain. How many acres of pine trees re
DerKrebs [107]
13/100 = x/2120 \\ 100*x = 13*2120 \\ 100x = 27,560  \\ 100x/100 = 27560/100  \\ x = 275.6
275.6 acres of pine trees remain.
6 0
3 years ago
Read 2 more answers
How do you turn 9 and 3 5s as a decimal???
Zarrin [17]

Answer:

9.6

Step-by-step explanation:

As 9 and 3/5s, the 9 is whole so you do not change it. To make 3/5th into a decimal you increase the denominator into x/10. To make 5 into 10 you multiply 5x2=10. And since you changed the bottom you have to change the top and multiply it by 2. 3x2=6. So the 9 stays the same and since the first place beind the decimal is tenths, and youre fraction is now 6/10 you put it as 9.6.

Hope it helps!

8 0
3 years ago
What is the difference between absolute value negative 3 and -3
PolarNik [594]
They both have the same absolute value. Their absolute value would be 3
3 0
3 years ago
Other questions:
  • Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 poss
    5·2 answers
  • Evaluate each expression.<br><br> d = 5<br><br> e = 8<br><br> f = 10
    5·1 answer
  • I really need the answer please help me
    13·1 answer
  • If ƒ(x ) = 3x + 1 and ƒ -1 = , then ƒ(2) =
    14·1 answer
  • Answer i will brainlist
    9·2 answers
  • Pls help !! Due in 30 minutes !! Seiko takes pottery classes from two different studios. Paula's Pottery charges $18 for clay an
    10·1 answer
  • Jackie went to the store and bought 2 1/4 pounds of apples at $5 per pound and 9 pounds of pears at $2.35 per pound. If she paid
    14·1 answer
  • Find the values of x and y if l // m. <br> Show all work.
    12·1 answer
  • I really need help in math
    8·1 answer
  • A point that is exterior to an angle is found on the acute side of the angle. true of false?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!