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
Luden [163]
3 years ago
5

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.

Mathematics
1 answer:
KatRina [158]3 years ago
5 0
AB = AU + UB = 20x + 108 + 273 = 20x + 381

\cfrac{AU}{AB} =\cfrac{UV}{BC}    \\  \\  \cfrac{20x+108}{20x+381} =\cfrac{444}{703}   \\  \\ 703(20x+108)=444(20x+381)\\\\14060x+75924=8880x+169164 \\  \\ 14060x-8880x = 169164 - 75924 \\  \\ 5180x = 93240 \\  \\ x=93240/5180 \\  \\ x=18
You might be interested in
The equation 4.50 the equation 3d + 2=29 can be used to find the height of a bean plant d days after it was purchased how many d
anygoal [31]

Answer: 9 days

Step-by-step explanation: you have to do the reverse

3d+2=29     Subtract 2 from both sides

3d=27      Divide 27 from both

d=9      The plant was planted 9 days ago

6 0
3 years ago
Which of the following are the factors of q3 – q2 + 2q – 2?
alexdok [17]

x {}^{3}  - x {}^{2}  + 2x - 2 \\  \\ x {}^{2} (x - 1) + 2(x - 1) \\  \\ (x - 1)(x {}^{2}  + 2)
5 0
3 years ago
Read 2 more answers
Ann had 45 fliers to post around town. Last week, she posted 1/3 of them. This week, she posted 2/5 of the remaining fliers. How
Gennadij [26K]
First, Ann posted 1/3 of the 45 fliers. 1/3 * 45=15, meaning that she posted 15, leaving 30 fliers. Next, she posted 2/5 of the remaining fliers. 2/5 * 30 = 12, so she posted 12 more fliers. 30-12 is 18, so she has 18 left over.
8 0
4 years ago
Read 2 more answers
What does the fraction 5/6 mean? Show how it can be written using division.
Veseljchak [2.6K]
5/6 means 5 out of 6 items. 5/6 can also be written as 0.83 (the three never ending). This means 5 out of 6 things is 83% of the total.
8 0
3 years ago
Read 2 more answers
Your job is 7.5 miles from home. One option is to take the back roads to work. That route is calculated for driving at an averag
fomenos

Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

So:

Answer:

The route will take 15 minutes to get to work taking the back roads.

Hope this helps!

5 0
3 years ago
Other questions:
  • URGENT NEEDS TO ME SUBMITTED BY MIDNIGHT!! The ratio of girls to boys in Mr. Hansen’s class is 4:5. The ratio of girls to boys i
    11·1 answer
  • A baseball was pitched at a speed of 75.2 miles per hour. a tennis ball was served at a speed 1.5 times faster than this. how mu
    8·1 answer
  • Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to
    15·1 answer
  • Which graph represents an exponential function?
    10·2 answers
  • Consider each equation. Is the equation of a line that is parallel or perpendicular to y=3x+2? Select yes or no for A-C.
    15·1 answer
  • Find the sum of the infinite series, if it exists. 100+20+4+… And please show work
    11·1 answer
  • Darius deposits $600 into a simple interest savings account. After a year, the account balance will be $615. What is the interes
    8·1 answer
  • a) Find the value of x showing your steps. b) Identify the theorem or postulate that allows you to find this value. ​
    9·1 answer
  • Maybell just purchased $2075 worth of jewelry. If she marks up her cost by 30% and sells all of the jewelry, what will be the to
    9·2 answers
  • Alfonso borrowed $2500 total from two different banks. One bank charged 4% simple interest, the other charged 3.5% simple intere
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!