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
Zepler [3.9K]
3 years ago
8

The area of triangle LMN is 18 ft2 and the area of FGH is 24 ft2. If triangle LMN is equivalent to triangle FGH, what is the rat

io of LM to FG?
A. 3:4
B. 9:16
C. square root of 3:2
D. 4:3
Biology
2 answers:
lesantik [10]3 years ago
6 0

Answer:

Option C

Explanation:

As we know,

Theorem of equivalent triangle states that two similar triangle's area will be proportional to square of corresponding sites.

Thus ,

\frac{18}{24} = (\frac{LM}{FG} )^2\\

On taking square root on both the sides and solving the equation further , we get -

\sqrt{\frac{18}{24} } = \frac{LM}{FG}\\\frac{LM}{FG} = \sqrt{\frac{3}{4} } \\\frac{LM}{FG} = \frac{\sqrt{3} }{2}

Thus, option C is correct

Sedaia [141]3 years ago
5 0

Answer:  Option 'C' is correct.

Explanation:

Since we have given that

Area of triangle LMN = 18 ft²

Area of triangle FGH = 24 ft²

Since Δ LMN and ΔFGH is equivalent triangles.

As we know the theorem which states that ratio of areas of equivalent triangles is equal to square of ratio of corresponding sides.

So, it becomes,

\dfrac{\Delta LMN}{\Delta FGH}=(\dfrac{LM}{FG})^2\\\\\dfrac{18}{24}=(\dfrac{LM}{FG})^2\\\\\dfrac{3}{4}=(\dfrac{LM}{FG})^2\\\\\sqrt{\dfrac{3}{4}}=\dfrac{LM}{FG}\\\\\dfrac{\sqrt{3}}{2}=\dfrac{LM}{FG}

Hence, Option 'C' is correct.

You might be interested in
Which process produces human egg and sperm cells?
Ad libitum [116K]
Gametogenesis produces human egg and sperm cells
7 0
3 years ago
Read 2 more answers
Men can produce sperm throughout their adulthood because_____. (1pts)
kvasek [131]
<span>Men can produce sperm throughout their adulthood because their reproductive organs and glands are fully developed. During their childhood and adolescence the glands and organs are not functional for reproductive purposes.</span>
8 0
3 years ago
Which best describes plant classification?
Nadya [2.5K]
Well, Angiosperms are grouped up with with the dicots and monocots.
8 0
2 years ago
I need this ASAP it’s on a.p.e.x
Aleks04 [339]

The correct answer is C. Gardeners choose which plants they let reproduced based on the plant traits.

Explanation:

In general, selective breeding involves the intervention of humans in the reproduction of species, this includes mainly plant and animal species. Moreover, in selective breeding, humans choose which specific species or individuals reproduce to favor certain traits. For example, a farmer might allow only the biggest cows to reproduce because this will lead to bigger calves. In this context, the option that shows selective breeding is C because this shows the intervention of humans in reproduction by selecting the individuals that will reproduce.

6 0
2 years ago
The organ that plays the greatest role in regulating blood pressure by altering blood volume is the ________.
chubhunter [2.5K]
Kidney. The kidney plays the role of keeping blood pressure in check by altering the blood volume.
5 0
2 years ago
Other questions:
  • How many amino acids does each codon code for?
    7·1 answer
  • Do you think a Fungus is more like a plant, or more like an animal? Explain two characteristics of fungi that would support your
    12·2 answers
  • 4. Describe the pathway (from start to finish) that energy takes through your cell model.
    11·1 answer
  • The correct route of administration for long-acting forms of penicillin is: a. Intramuscular b. Intravenous c. Oral d. Sublingua
    8·1 answer
  • A researcher is culturing cells that require oxygen to live in an incubator where the gas levels are carefully regulated. If the
    10·1 answer
  • How many liter of air does human body breathe in
    6·2 answers
  • PLEASE HELP!!!! DUE AT MIDNIGHT
    6·1 answer
  • Can you answer 66 and 67 and 67 please I’ll venmo 2 cause I’m broke just drop your venmo
    6·1 answer
  • Which table best shows the impacts resulting from human activity?
    5·1 answer
  • DOES ANYONE KNOW THE ANSWER?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!