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
Zarrin [17]
3 years ago
7

Can someone check my answer?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

The measure of EC is 1 ft.

Solution:

Given data:

AD = 8 ft, DB = 2 ft, AE = 4 ft

To find the measure of EC:

Using triangle proportionality theorem,

<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>

$\frac{AD}{DB} =\frac{AE}{EC}

$\frac{8}{2} =\frac{4}{EC}

Do cross multiplication.

8EC=2\times 4

8 EC = 8

Divide by 8 on both side of the equation, we get

EC = 1

EC = 1 ft

Hence the measure of EC is 1 ft.

You might be interested in
The rule for being the nth item in a certain sequence is n(n+1)/2. what is the 4th term in this sequence ?
Lorico [155]

Answer:

a.) 4

Step-by-step explanation:

a.)4

7 0
3 years ago
Please answer asap this is 7th grade math<br> find the area
Rainbow [258]

25pi

pi x 10^2 is 100pi

Divide by four = 25pi

7 0
2 years ago
Read 2 more answers
A species of beetles grows 32% every year. Suppose 100 beetles are released into a field. How many beetles will there be in 10 y
siniylev [52]

Given that a species of beetles grows 32% every year.

So growth rate is given by

r=32%= 0.32


Given that 100 beetles are released into a field.

So that means initial number of beetles P=100


Now we have to find about how many beetles will there be in 10 years.

To find that we need to setup growth formula which is given by

A=P(1+r)^n where A is number of beetles at any year n.

Plug the given values into above formula we get:

A=100(1+0.32)^n

A=100(1.32)^n


now plug n=10 years

A=100(1.32)^{10}=100(16.0597696605)=1605.97696605

Hence answer is approx 1606 beetles will be there after 20 years.


Now we have to find about how many beetles will there be in 20 years.

To find that we plug n=20 years

A=100(1.32)^{20}=100(257.916201549)=25791.6201549

Hence answer is approx 25791 beetles will be there after 20 years.



Now we have to find time for 100000 beetles so plug A=100000

A=100(1.32)^n

100000=100(1.32)^n

1000=(1.32)^n

log(1000)=n*log(1.32)

\frac{\log\left(10000\right)}{\log\left(1.32\right)}=n

33.174666862=n

Hence answer is approx 33 years.

4 0
3 years ago
Read 2 more answers
I need help ASAP. The assignment is due at 11:59
Oksanka [162]

Answer:

its answer is 75 i guess

5 0
3 years ago
Read 2 more answers
HELP PLEASE!! Will mark brainliest to correct answer
swat32

Answer:

45

Step-by-step explanation:

KL- because triangle is a isosceles

(base angles are congruent)

8 0
2 years ago
Other questions:
  • Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing
    12·1 answer
  • Find xif f(x) = 2x + 7 and f(x) = -1.
    12·2 answers
  • Solve for y then plug in (-12) for x. Show work please.<br><br> x = 24 + xy
    9·1 answer
  • THIS IS URGENT, I REALLY NEED HELP!
    8·1 answer
  • Corrine bought a coffee and a bagel for $5.35. If the coffee cost $1.95, how much did the bagel cost?
    9·2 answers
  • How many 3/10 size are in 3 wholes​
    8·2 answers
  • Who's is the faster runner? Raj can run 1 1/3 laps in 1/4 of an hour. Yvonne can run 4 1/2 laps in 7/8 of an hour.
    7·2 answers
  • Write 0.79 repeating as a fraction.
    6·2 answers
  • What is X? combined with 10x^2
    13·1 answer
  • Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!