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
harkovskaia [24]
3 years ago
15

In ΔABC, centroid D is on median AM. AD = x + 3 and DM = 2x - 1. Find AM.

Mathematics
2 answers:
nata0808 [166]3 years ago
3 0

check the picture below

DochEvi [55]3 years ago
3 0

Answer:

Option A

Step-by-step explanation:

Given that in triangle ABC AM is one median

D is the centroid

We know by triangle conjectures that

in any triangle centroid divides median in the ratio 2:1

i.e. If D is centroid on AM,

then AD:DM =2:1

Substitute for AD and DM the given values

x+3:2x-1 =2:1\\x+3 =2(2x-1)\\x+3=4x-2\\5=3x\\Or x=\frac{5}{3}

Hence answer is the length of AM

= AD+DM

= x+3+2x-1\\=3x+2\\=3(\frac{5}{3} )+2\\=7

Option A is the answer

You might be interested in
6 minus 4 2/7 =<br> ANSWER ASAP AND BE RIGHT<br> EXPLAINNNN STEP BY STEP<br> TO BE BRAINLIEST
faust18 [17]

Answer:

12/7

Step-by-step explanation:

6-4 2/7 =

42/7 - 30/7 =

12/7

6 0
3 years ago
Solve the following equation: x + 5 = 42
Readme [11.4K]

Answer:

x = 37

Step-by-step explanation:

<u>Step 1:  Subtract 5 from both sides</u>

x + 5 - 5 = 42 - 5

x = 37

Answer:  x = 37

6 0
3 years ago
Read 2 more answers
739 is closer to ___ than it is to _____&lt;br /&gt;&lt;br /&gt;
Marizza181 [45]
700 because if it was 750 it would be closer to 800 but it is under 50
7 0
2 years ago
Evaluate the expression when a=-2 and x=6. \<br><br> 4x-a
Digiron [165]

Answer:

26

Step-by-step explanation:

Given

4x - a ← substitute a = - 2, x = 6 into the expression

= 4(6) - (- 2) [ note - (- ) is equivalent to + ]

= 24 + 2

= 26

4 0
2 years ago
What is the vertex for the following quadratic? f(x)=2(x - 4)^2 -8
Ghella [55]

Answer:

vertex = (4, - 8 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 4)² - 8 ← is in vertex form

with (h, k ) = (4, - 8 ) ← coordinates of vertex

6 0
3 years ago
Other questions:
  • Jim wants to purchase a used boat. The price is $8,000 cash or $1,200 down and 18 monthly payments of $429.00. Jim decided to fi
    8·1 answer
  • Evaluate the expression a3 - b / 4 for a = 3, b = 2, and c = 4. Write in simplest form.
    13·1 answer
  • I NEED HELP WITH THIS SUBJECT<br>​
    15·2 answers
  • (-9y+5)-8 (-y-2) if y=-3 please help get answer
    5·1 answer
  • From their location in the diagram, what are two possible values for m and n?
    13·1 answer
  • I need to know 4 I really don't understand I really need help please.
    10·1 answer
  • 1. In a pet store, there are 6 dogs and 10 cats. What is the ratio of cats to dogs as
    8·1 answer
  • Which two points should the trend line go through to best represent the data given in this scatterplot? (30, 69) and (71, 78) (3
    6·2 answers
  • Hihi , please help if able.
    14·1 answer
  • Simplify (18+t)(-3)+9
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!