Consider ΔDEF with centroid at point G and median EH. What is GH, if EG=3x+4 and GH=x+10?
1 answer:
Answer:
GH=13
Step-by-step explanation:
It is given that ΔDEF with centroid at point G and median EH. Since, a median of a triangle is the line segment joining the vertex and the mid point and also bisecting it.
Therefore, EG=GH as the centroid bisect the median.
⇒
⇒
⇒
⇒
Now, substituting the value of x in GH, we get
GH=
GH=
GH=
Hence, the value of GH will be: 13
You might be interested in
Answer:
The system of equation that represent this situations are;
Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.
Step-by-step explanation:
Let number of hat Chevy makes be h.
Also Let number of scarves Chevy makes be s.
Given:
Total Amount of yarns = 2 kg
Total number of items = 15
Since Items need to make are hat and scarves.
Hence the equation can be represented as;
Again Given:
Each hat uses 0.2 kilograms of yarn.
each scarf uses 0.1 kilograms of yarn.
Hence the equation can be represented as;
Hence the system of equation that represent this situations are;
Now Solving these to find number of hats and number of scarves.
Multiplying equation 2 with 10 we get;
Now Subtracting equation 1 from equation 3 we get;
Now Substituting the value of h in equation 1 we get;
Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.