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choli [55]
3 years ago
15

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Mathematics
2 answers:
liq [111]3 years ago
7 0
The answer is gonna be: (B)
polet [3.4K]3 years ago
5 0

Answer:

Since we have BC ║ DE, we know that:

AB/AD = BC/DE

12/(12 + 4) = BC/12

12/16 = BC/12

BC = (12 · 12)/16 = 9 (in)

Applying the pythagorean, we have:

AB² + BC² = AC²

12² + 9²     = AC²

225           = AC²

AC             = √225 = 15 (in)

Using the information about the parallel lines again, we have:

AC/CE = AB/BD

15/CE = 12/4

CE = (15 · 4)/12 = 5 (in)

So the answer is B

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A particle is moving on a straight line in such a way that its velocity v is given by v ( t ) = 2 t + 1 for 0 ≤ t ≤ 5 where t is
Lady_Fox [76]

Answer:

The total distance traveled by the particle is S = 30.

Step-by-step explanation:

Given that velocity,

v(t) = 2t + 1

To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.

Integrating v(t) with respect to t, we have

s(t) = t² + t + C.

At t = 5

s(5) = 5² + 5 + C

= 25 + 5 + C

= 30 + C

At t = 0

S(0) = 0 + 0 + C

= C

The required distance is now

S(5) - S(0)

= 30 + C - C

= 30.

8 0
3 years ago
Read 2 more answers
Adult tickets to the fall play cost $8 and student tickets cost $4. the drama class sold 20 more adult tickets than student tick
Ganezh [65]
Let a = Adult tickets, s = Student tickets; we are going to set up a system of equations. 

8a + 4s = 880
a - s = 20

We are going to multiply the second equation by so that we can cancel out one of the variables and solve for the other. This gives you:

8a + 4s = 880
4a - 4s = 20

Notice the s-variables will cancel:

12a = 900
a = 75

Now we plug in the amount of adult tickets to solve for the student ones.

75 - s = 20
- s = - 55

Divide both sides by - 1
s = 55.

There were 55 student tickets sold and 75 adult tickets. 


6 0
3 years ago
Is it proportional or non proportional??
tankabanditka [31]

Answer:

Was meinen Sie

Step-by-step explanation:

Hast du die dritte Klasse nicht bestanden? benutze dein Gehirn.

6 0
3 years ago
a newly-planned tree needs to be staked with three wires. each wire is attached to the trunk 3ft. above the ground, and then anc
Alexandra [31]
       | \
3ft   |   \
       |_ _\
        4ft
a²+b²=c²           Pythagorean Theorem
3²+4²=c²           simplify
c=√(3²+4²)        isolate c
c=5

c*6=answer      because you need wire for 6 trees
5*6=answer
answer=30

You will need 30 feet of wire
4 0
3 years ago
6. What is the solution to this system of equations?
ipn [44]
Answer:B:(1,-1)
Hope it helps!
7 0
3 years ago
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