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
Paul [167]
3 years ago
9

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:
Damm [24]3 years ago
8 0
The answer:
<span>the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:

AV /AC = AU/ AB= UV/ BC
372/589=20x +80  / AB = 444 / 703

</span>so we get    (372/589) AB - 80 =  20x, and x = ( (372/589) AB - 80  ) / 20

exact value of x depends on the value of AB
You might be interested in
WILL NAME BRAINLIST PLEASE
algol13

Answer:

x = -4y

<em>Hope that helps! :)</em>

<em>-Aphrodite</em>

Step-by-step explanation:

3 0
3 years ago
A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
Who could help me please:)))I'll apreciate the answers:))))
Wittaler [7]
The answer in order is    b   a     c 

6 0
3 years ago
Nancy's mother has a large collection of shoes. The table shows how many pairs of shoes she
SSSSS [86.1K]

Answer:

P(pumps) = 2/5

Step-by-step explanation:

(Pumps)/(Everything)

(10)/(9+6+10)

10/25

2/5

7 0
3 years ago
It is January 17th 2021​
alekssr [168]
Yes is is, is your area still there?
6 0
3 years ago
Other questions:
  • The diagram shows the first four patterns of a sequence.
    10·1 answer
  • PLEASE MATH HELP
    8·1 answer
  • PLEASE OKEAZE OLEASE HELP write a expression that represents the area of a circle with a radius of 7 units?
    9·1 answer
  • Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.
    9·2 answers
  • PLEASE HELP ME GIVING 20 POINTS!! 16 &gt; -8 + x
    13·2 answers
  • What is the solution of the equation? w - 2 = -3
    13·1 answer
  • A circus artist is climbing a 20 m long rope, which is
    11·1 answer
  • The volume of a? cone-shaped hole is 49 pi ft cubed . If the hole is 3 ft? deep, what is the radius of the? hole?
    6·1 answer
  • Louisa has a rectangle that measures 12.55 inches by 9 inches. If she takes 5.2 inches off of each side, what will be the area o
    11·1 answer
  • I need help checking these
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!