Answer: Segment GD is parallel to segment HC.
Step-by-step explanation:
In ΔAHC
AG=GH (given)...........1
As BD is the median of ΔABC bisecting AC at D
∴AD=DC.........2
⇒
(from 1 and 2)
⇒segment GD is dividing the sides AH and AC in same ratio.
Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.
Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Answer:
bottom right, x = 90
bottom left, x = 40
top left, x = 28
Step-by-step explanation:
This problem uses the variable x to mean three different numbers.
This is an incorrect use of a variable.
On the bottom right, x is a right angle, so x = 90.
On the bottom left, x + 5 = 45, so x = 40.
On the top left, 3x + 6 = 90, so x = 28.
The 1st, 4th, and 7th terms make an arithmetic sequence of their own. The 4th term is the average of the 1st and 7th, so ...
(1st +7th)/2 = 4th
1st + 7th = 2×4th
1st = 2×4th - 7th
The first term is ...
2*141 - 132 = 150
I'm just gonna say that its maybe 1 and 4. I'm not sayig its correct, its just that i think thats what it is.
