Answer:
The value of MB = 8.4
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 ΔJKL,
- The point M 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 KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
The answers are in the photo
Answer:
m∠RST = 20
Step-by-step explanation:
Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal. Set ∠RSP equal to ∠PST.
∠RSP = ∠PST
3x - 2 = 9x - 26
(3x - 2) + 2 = (9x - 26) + 2
3x = 9x - 24
3x - 9x = (9x - 24) - 9x
-6x = -24
(-6x)/-6 = -24/-6
x = 4
Now that you know the value of x, add ∠RSP and ∠PST. This will give you m∠RST.
m∠RST = (3x - 2) + (9x - 26)
m∠RST = 3x - 2 + 9x - 26
m∠RST = 12x - 2 - 26
m∠RST = 12x - 28
m∠RST = 12(4) - 28
m∠RST = 48 - 28
m∠RST = 20
The answer to the question
