Given:
The figure of a triangle LMN.
P is the centroid of triangle LMN.
To find:
14. Find the value of PN if QN=30.
15. Find the value of PN if QN=9.
Solution:
We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.
Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.
14. We have QN=30.
Therefore, the value of PN is 20 when QN=30.
15. We have QN=9.
Therefore, the value of PN is 6 when QN=9.
1-3=0kwgf8ebeuf iwbrjievtirvr8rvhe
5/6 + 1/3
To add both sides need the same denominator. To give he fractions a common denominator, multiply the second fraction (1/3) by 2.
5/6 + 2/6
Add the numerators
7/6
Change into mixed number
1 and 1/6
I hope this helps, feel free to ask any questions you may have
Answer:
The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Step-by-step explanation:
Here, the diameter of the circle = 6 m
Diameter = 2 x RADIUS
So, radius = D / 2 = 6 / 2 = 3 m
Also, the length of the arc = ( 
) meters
Putting π = 3.14, we get
The length S of the arc = 
or, S = 7.85 m
Let us assume the arc subtends angle Ф at the center of the circle.
⇒ S = r Ф
or, Ф = 
⇒Ф = 2.61 radians
Now, 1 Radian = 57.2958 Degrees
⇒ 2. 62 Radian = 2.61 x ( 57.2958 Degrees) = 149.542 °
or, Ф = 149.542°
Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Answer:
7 items
Step-by-step explanation:
320 / 8 = 280 / x
40 = 280 / x
x = 280 / 40 = 7
