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
vekshin1
3 years ago
10

M is the centroid (center of gravity) of △ABC, line k goes thru M and intersects AB and AC . The distances of the vertices B and

C from line k are 17 and 13 respectively. Find the distance of the vertex A from line k.
Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

  30

Step-by-step explanation:

The midpoint of BC will be a distance from line k that is the average of the distances of B and C: (17+13)/2 = 15. Call that midpoint P. We know distance MP is half of distance MA. This same relationship will hold with respect to the distances from P and A to any line through M. That is, the distance from line k (through M) is twice the distance from P to line k: 30 units.

You might be interested in
Ann can build a model car in 3 hours, while sam can build the same model in 6 hours. How many hours would it take for them to bu
melamori03 [73]
X =  Ann
Y = Sam
3x + 6y
x = -2y
7 0
3 years ago
Find all the missing elements:
pentagon [3]

Answer:

B = 34.2°

C = 58.2° or 121.8°

c= 10.6

Step-by-step explanation:

Step 1

Finding c

We calculate c using Pythagoras Theorem

c²= a² + b²

c = √a² + b²

a= 8, b = 7

c = √8² + 7²

c = √64 + 49

c = √(113)

c = 10.630145813

Approximately c = 10.6

Step 2

Find B

We solve this using Sine rule

a/sin A = b/sin B

A = 40°

a = 8

b = 7

Hence,

8/sin 40° = 7/sin B

8 × sin B = sin 40° × 7

sin B = sin 40° × 7/8

B = arc sin (sin 40° × 7/8)

B ≈34.22465°

Approximately = 34.2°

Step 3

We find C

Find B

We solve this using Sine rule

b/sin B = c/sin C

B = 34.2°

b = 7

c = 10.6

C = ?

Hence,

7/sin 34.2° = 10.6/sin C

7 × sin C = sin 34.2 × 10.6

sin C = sin 34.2° × 10.6/7

C = arc sin (sin 34.2° × 10.6/7)

C = arcsin(0.85)

C= 58.211669383

Approximately C = 58.2°

Or = 180 - 58.2

C = 121.8°

5 0
2 years ago
Read 2 more answers
On a coordinate plane, an image rectangle has points (negative 5, 0), (5, 0), A prime (5, negative 5), (negative 5, negative 5).
aev [14]

Answer:(5/3,5/3)

Step-by-step explanation: I did the test ;D

6 0
2 years ago
Read 2 more answers
K is no greater than 9?<br><br> Write&gt;,&lt;.
alekssr [168]
Greater than symbol is ">"
But since he mentioned "NO greater than" then it's the opposite of greater than, which means "K" is less than "9"

K<9
4 0
3 years ago
ASAP ASAP ASAP
Aleks04 [339]

Answer: 240cm cubed (the three)

Step-by-step explanation:

Length x width x height

6x4x10

7 0
2 years ago
Other questions:
  • A class has 11 students who are to be assigned seating by lot.
    13·2 answers
  • Please help me with number 1, thanks
    8·1 answer
  • A local University accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a p
    8·2 answers
  • The Walters family bought 3 ham sandwich and 4 fruit cups for lunch. Each sandwich cost $4 and each fruit cups cost $2. How much
    8·1 answer
  • What is the third term of the sequence? a1 = m an = 2an-1
    14·2 answers
  • The average rainfall for each week for the
    11·1 answer
  • Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water
    15·2 answers
  • Help! I have 20 minutes
    8·2 answers
  • PLease Help help Help
    5·1 answer
  • Which describes money that is received from a sale of goods or services?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!