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
Inessa05 [86]
3 years ago
5

In the diagram, JG = 5 cm and GE = 10 cm. Based on this information, can G be a centroid of triangle HJK? Point G cannot be a ce

ntroid because JG does not equal GE. Point G cannot be a centroid because JG is shorter than GE. Point G can be a centroid because GE and JG are in the ratio 2:1. Point G can be a centroid because JG + GE = JE.
Mathematics
2 answers:
Zigmanuir [339]3 years ago
6 0

in short terms it's b lol

Ratling [72]3 years ago
5 0
<span>Point G cannot be a centroid because JG is shorter than GE. Without the diagram, this problem is rather difficult. But given what a centroid is for a triangle, let's see what statements make or do not make sense. Assumptions made for this problem. G is a point within the interior of the triangle HJK. E is a point somewhere on the perimeter of triangle HJK and that a line passing from that point to a vertex of triangle HJK will have point G somewhere on it. Point G cannot be a centroid because JG does not equal GE. * If G was a centroid, then JG would not be equal to GE because if that were the case, you could construct a circle that's both tangent to all sides of the triangle while simultaneously passing through a vertex of the triangle. That's impossible, so this can't be the correct choice. Point G cannot be a centroid because JG is shorter than GE. * This statement would be true. So this is a good possibility as the correct answer assuming the above assumptions are correct. Point G can be a centroid because GE and JG are in the ratio 2:1. * There's no fixed relationship between the lengths of the radius of a circle who's center is at the centroid and the distance from that center to a vertex of the triangle. And in fact, it's highly likely that such a ratio will not even be constant within the same triangle because it will only be constant of the triangle is an equilateral triangle. So this statement is nonsense and therefore a bad choice. Point G can be a centroid because JG + GE = JE. * Assuming that the assumption about point E above is correct, then this relationship would hold true for ANY point E on the side of the triangle that's opposite to vertex J. And only 1 of the infinite possible points is correct for the line JE to pass through the centroid. So this is also an incorrect choice. Since of the 4 available choices, all but one are complete and total nonsense when speaking about a centroid in a triangle, that one has to be the correct answer. So "Point G cannot be a centroid because JG is shorter than GE."</span>
You might be interested in
An experimental population of fruit flies increases according to the law of exponential growth. There were 60 flies after the 2n
Mice21 [21]

Answer:

There were 10 flies originally

Step-by-step explanation:

Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;

V = I(1+r)^d

where V is the number of flies on a particular day

I is the initial number of flies

r is the constant increase in percentage

and d is the number of days.

So we have for the second day;

60 = I(1+r)^2 ••••••(i)

For the fourth day, we have;

360 = I(1+r)^4 ••••••••(ii)

divide equation ii by i; we have;

360/60 = (1+r)^4/(1+r)^2

6 = (1+r)^2

(√6)^2 = (1+r)^2

1 + r = √6

r = √6 - 1

So we can substitute the value of r in any of the equations to get I which is the initial number of flies

Let’s use equation 1

60 = I(1 + r)^2

60 = I(1 + √6 -1)^2

60 = I(√6)^2

60 = 6I

I = 60/6

I = 10 flies

3 0
3 years ago
What two numbers multiple to equal 16 but add up to equal -17​
ELEN [110]

Answer:

-16 and -1

Step-by-step explanation:

-16 *-1 = 16

-16+-1=-17

5 0
3 years ago
Mr. Walker is looking at the fundraiser totals for the last five years.
balu736 [363]
$880, $896, $914, $925, and $963

median = $914
mean = (896+925+880+963+914)/5 = 4578/5 = $915.6

$915.6 - $914 = $1.6

so mean is greater than median $1.6

answer is B. second choice
<span>The mean is $1.60 greater.</span>
6 0
3 years ago
Read 2 more answers
A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models
Vlad1618 [11]

So the function is

\\ \rm\rightarrowtail y=4.5x^2

As we know

  • x²≥0
  • x≥0

hence domain is

\\ \rm\rightarrowtail D_f\in R

  • Least value of function is at x²=0 i.e 0

Hence range:-

\\ \rm\rightarrowtail R_f\in [0,\infty)

6 0
2 years ago
62.5% as two equivalent forms
mrs_skeptik [129]
62.5/100 and 0.625 are both equivalent.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
    6·1 answer
  • Common factor for 405
    8·1 answer
  • Can someone show me how to do the following problem...?<br><br> 5x^2-5x-30=0
    14·2 answers
  • I ONLY NEED HELP WITH PART B
    12·1 answer
  • Reflect vertices D(-2,14),O(-3,7),G(4,-3) across y-axis. What are the coordinates of D’ O’ G’
    14·1 answer
  • In a quiz need help ASAP
    8·2 answers
  • Solve the equation 21x +27=300 using systematic trial
    6·2 answers
  • Help me please! will mark brainliest if correct :)
    8·1 answer
  • A bakery uses 70% of its milk in one week. They now have 36 quarts of milk left. rt C There are 4 quarts in a gallon. How many g
    13·1 answer
  • Kiran is going to see a movie and is taking his 3 kids. Each movie ticket costs $13 and there are an assortment of snacks availa
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!