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
krok68 [10]
3 years ago
9

PLEASE HELP ME THANKS SO Much

Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

9514 1404 393

Answer:

  (b)  x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

  AB/CB = AE/CD

  (x+2)/(x -4) = 12/4

  x +2 = 3(x -4) . . . . . . multiply by x-4

  x +2 = 3x -12 . . . . . . eliminate parentheses

  14 = 2x . . . . . . . . . . . add 12-x

  7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

__

In summary, ...

  x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

<em>Additional comment</em>

Please note the other choices make no sense.

  (a) AB = x +2 = -5 +2 = -3 ≠ -9

  (c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9

  (d) segment lengths are never negative in a geometrical figure

You might be interested in
If two students from this college are selected at random, what is the probability that they are both males?
igor_vitrenko [27]

Answer:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

Step-by-step explanation:

Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"

Previous concepts

An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.

When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:

P(A and B) = P(A)*P(B)

Solution to the problem

We can define some notation:

A_1 first person selected is a male

A_2 second person selected is male

On this case we want the probability that both would be males. And we can express this like this on math terms:

P(A_1 and A_2)

For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

5 0
3 years ago
Whats the Answer y=10 4x-5y=3
nikdorinn [45]
4x-5y=3
4x-5(10)=3
4x-50=3
+50 +50
4x=53
/4 /4

x=53/4
6 0
3 years ago
Help me please I been trying to figure out how to do this problem
Marina86 [1]

sin 30 = x/4

sin 30 = 0.5

0.5 = x/4

x = 2

5 0
2 years ago
What is 4 percent of 1425
hammer [34]
4% outta 1425 is 57| The amount is 57.
8 0
4 years ago
Read 2 more answers
What is the reciprocal of 7 1/3
Akimi4 [234]
First, you have to change 7 1/3 to an improper fraction which is 22/3.
Then you have to flip the fraction upside down to get the reciprocal.

So the answer is 3/22
6 0
3 years ago
Other questions:
  • The temperature in Toronto at noon during a winter day measured 4 degrees Celsius.The temperature started dropping 2 degrees eve
    7·1 answer
  • Suppose an investment of $6,200 doubles in value every 13 years. How much is the investment worth after 78 years?
    7·2 answers
  • Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
    13·2 answers
  • Which sentence best describes the interval [-2,1]
    8·1 answer
  • 18 is 0.75% of what number?
    13·1 answer
  • 27 is what percent of 150 explain
    5·1 answer
  • 9m + 11 - 8m - 6 + 5
    5·1 answer
  • Gabriel unfolded a cube to form the net below.
    6·1 answer
  • Triangle ABC and triangle DEF are similar. AC = 10, BC = 6, AB = Y in triangle ABC. In triangle DEF DF = X, EF = 5, DE = 7. What
    14·1 answer
  • Tax in New Jersey is 7%. If you spend $120 on a shopping spree, how much does the tax cost? Show your work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!