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
Brrunno [24]
3 years ago
5

If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

Answer:

Part a) ML=15\ units

Part b) HM=30\ units

Part c) JM=21\ units

Part d) MI=42\ units

Part e) GM=40\ units

Part f) MK=20\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

HL=45\ units

we know that

ML=\frac{1}{3}HL

substitute the given value

ML=\frac{1}{3}(45)

ML=15\ units

Part b) Find HM

we have

HL=45\ units

we know that

HM=\frac{2}{3}HL

substitute the given value

HM=\frac{2}{3}(45)

HM=30\ units

Part c) Find JM

we have

JI=63\ units

we know that

JM=\frac{1}{3}JI

substitute the given value

JM=\frac{1}{3}(63)

JM=21\ units

Part d) Find MI

we have

JI=63\ units

we know that

MI=\frac{2}{3}JI

substitute the given value

MI=\frac{2}{3}(63)

MI=42\ units

Part e) Find GM

we have

KG=60\ units

we know that

GM=\frac{2}{3}KG

substitute the given value

GM=\frac{2}{3}(60)

GM=40\ units

Part f) Find MK

we have

KG=60\ units

we know that

MK=\frac{1}{3}KG

substitute the given value

MK=\frac{1}{3}(60)

MK=20\ units

You might be interested in
How do u solve 89% of 119 is what?
Alexus [3.1K]
105.91 is the answer for you
7 0
3 years ago
Read 2 more answers
Please help explanation if possible
posledela

Answer:

y =3x - 5

Step-by-step explanation:

Well one of the way to do this question is the formula given below your question, but for me, i rather do it this way

OK they gave u y=3x - 12

And they say another line is parallel, once u see the word parallel means they have the same angle, same slope, same gradient ( sorry if I give u the wrong terms, since I learn mine in Malay)

So first u got to understand the slope-intercept form

y = mx + c

y is your y coordinate

x is your x coordinate

m is your gradient ( as in how much the line slants)

c is the y - intercept, as in, if u draw a graph, the y-coordinate where your line touches the y-axis (the vertical line)

So since the say the both lines are parallel, so both of their "m" is the same that is 3. Why? Cuz just compare

y = mx + c

y = 3x - 12

Therefore the m is 3

Therefore u alredy got your first value, so put it in your slope intercept form

y = mx + c

y = 3x + c

Now how to find c? Very easy, just put in the value of y and x from the coordinate ( that the line youre finding is on) they gave u, just put the value in

They gave u

(1, - 2)

So when x = 1, y = - 2

Therefore put it in

y = 3x + c

-2 = 3 (1) + c

c = - 5

Since now u have your m and c value, your slope intercept form is done, just put it in

y = mx + c

y = 3x + (-5)

y = 3x -5

6 0
2 years ago
What is the 8th term in the sequence? 1, 2, 4, 7​
MAVERICK [17]

Answer: 29

explanation: you add 1 to get 2, you then add 2 to get 4, then 3 to get to 7, then 4 to get to 11, then 5 to get to 16, then 6 to get to 22, then 7 to get to 29

8 0
3 years ago
Can two rectangles with the same side lengths be congruent
sveta [45]

Answer:

the angles in squares and rectangles it's always 90° so two squares or two rectangles with same side lengths are congruent.

8 0
2 years ago
Read 2 more answers
Please help. If f(x)= 2^x-1+3 and g(x)=5x-9 what is (f-g)(x)??
Readme [11.4K]

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​</span></span></span></span>

4 0
3 years ago
Read 2 more answers
Other questions:
  • What multiplied by itself 3 times gives you -216 please answer asap!!!
    13·2 answers
  • I NEED HELP PLEASE, THANKS
    10·1 answer
  • Each edge of a cube is 1.5 cm in length. what is the surface area of the cube ​
    13·2 answers
  • Using the "Part4Series.txt" time series
    11·1 answer
  • A spark plug listed at $1.89, marked down 29%
    10·2 answers
  • What is t×3/4 for t equals 8/9
    5·2 answers
  • Please help. will mark brainliest (part two) lol
    6·2 answers
  • Which is not a binomial in the following expressions? *
    7·1 answer
  • A mother is 5 times as old as her daughter. In 6 years she will be 3 times as old as her daughter. How old is the mother and her
    10·1 answer
  • Will give BRAINLIEST!! Write a polynomial and show all the steps you would take to factor this polynomial completely. Please exp
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!