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
Marat540 [252]
4 years ago
14

Need help figuring this out and would like you to explain how you did it please.

Mathematics
2 answers:
Klio2033 [76]4 years ago
5 0

Answer:

Step-by-step explanation:

GIVEN THAT

DE ||AC

SO BY BASIC PROPORTIONALITY THEOREM

BD. BE

----- = ------

DA. EC

SO a = 24. (Substituting values)

Thanks

aliina [53]4 years ago
3 0

Answer:

Step-by-step explanation:

Since DE is parallel to AC, then triangle DBE is similar to triangle ABC. It means that

AB/DB = BC/BE = AC/DE

Also, the length of BA is BD + DA

BD + DA = 18 + 36 = 54

Also, BC = BE + EC

BC = a + 12

Since triangle DBE is similar to triangle ABC, then

DB/AB = EB/CB. Therefore,

18/54 = a/(a + 12)

Cross multiplying the left hand side of the equation by (a + 12) and the right hand side of the equation by a, it becomes

18(a + 12) = 54 × a

18a + 216 = 54a

Subtracting 18a from the left hand side of the equation and the right hand side of the equation by , it becomes

18a - 18a + 216 = 54a - 18a

36a = 216

Dividing the left hand side of the equation and the right hand side of the equation by 36, it becomes

36a/36 = 216/36

a = 6

You might be interested in
You look behind the stove and discover a slice of bread that you misplaced several weeks ago. Needless to say, it is covered wit
Licemer1 [7]

Answer:

On the 7th day.

Step-by-step explanation:

The mold doubles, so on the 7th day, the mold would be half-there.

I used the 8th day's description to figure this out.

8 0
4 years ago
After m minutes, an adult blinks a bout 10m+ 3 times. about how many times does an adult blink in 3 minutes. In two hours.
Yuki888 [10]
My answer is 16 cause if you add 10 and 3 and 3 the =16

8 0
3 years ago
What is the equation of the circle with center (5,-4) and radius 4
Ede4ka [16]
16 is the right one
4 0
4 years ago
Find the radius of the sphere with the given volume<br><br>volume= 9/16 (pie symbol)ft cubed
xz_007 [3.2K]
Remember, the volume formula of a sphere is \frac{4}{3}  \pi  r^{3}.

Set that equation equal to whatever volume they give you and solve for r.

\frac{4}{3} \pi r^{3} = \frac{9}{16} \pi

Now solve for r! I know you can do this. If you need help, just comment.


5 0
3 years ago
Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
3 years ago
Other questions:
  • Nth term of 4,1,-2,-5,-8
    11·2 answers
  • There are 150 students in the fifth grade in Washington Elementary School. 2/5 of the students like soccer best and 3/10 of them
    8·1 answer
  • Sara works at a watch store. she earns $7.50 per hour , plus 8% commission for her watch sales. this month she worked 80 hours a
    7·1 answer
  • Write each decimal as a percent 0.03 0.92 0.18
    7·2 answers
  • Find the 50th term sequence 5 , -2 , -9 , -16
    9·1 answer
  • Suppose the length of AD is 10 and the length of DG is twice as long as AD Find The Length Of AG Show Your Work
    10·1 answer
  • Which equation represents a line that passes through the two points in the<br> table?
    13·1 answer
  • What is the surface area?<br> 26 cm<br> 26 cm<br> 24 cm<br> 28 cm<br> 20 cm<br> ? square centimeters
    5·1 answer
  • Can someone help me and explain it thank you I appreciate it
    7·1 answer
  • Find the missing term in the sequence ?, 18 , 14,?,6...
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!