Answer:
The length of JF = 3
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔHIJ,
- Point K is the centroid of the triangle.
We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median JF is split into two parts such that the longer part JK is 2 times the length of the smaller part KF.
In other words,
JF = KF + JK
Given KF = 1
Also, the longer part JK is 2 times the length of the smaller part KF.
i.e.
JK = 2 KF
JK = 2(1) ∵ KF = 1
JK = 2
Thus, substituting KF = 1 and JK = 2 in JF = KF + JK
JF = KF + JK
JF = 1 + 2
JF = 3
Therefore, the length of JF = 3
Answer:
The measure of angle RST is 80
Step-by-step explanation:
Since they are vertical angles, then they must be equal as vertically opposite angles are equal
Thus;
5b + 20 = 7b - 4
7b - 5b = 20 + 4
2b = 24
b = 24/2
b = 12
But RST = 5b + 20
substitute for b
RST = 5(12) + 20
RST = 60 + 20
RST = 80
B. the diagonals are congruent - the graph represents two equal, parallel lines, making the two segments congruent
Answer:
4.9
Step-by-step explanation:
4 9/10
9/ 10 = 0.9
So 4.9
