Answer: 2 < x < 16
The triangle inequality theorem says that if we have a triangle with sides a,b,c then
b-a < c < b+a
with b being longer than 'a'
In this case, a = 7 and b = 9 and c = x
so we have
b-a < c < b+a
9-7 < c < 9+7 .... replace a with 7, replace b with 9
2 < c < 16
2 < x < 16 .... replace c with x
So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.
Answer:
C. 12 feet.
Step-by-step explanation:
The lamp post has a shadow that's twice as long as it'a actual height. The tree's shadow is 24 feet long, so it would be 24/2, which is 12 feet.
Answer: $181,500
Step-by-step explanation:
If amount paid for house and one acre of land = 165,000
Then, additional acre of land is 4.3 acres- 1 acre of land purchased with the house = 3.3 acres of land
If additional acre goes for 5,000 per acre
1 acre = 5,000
3.3 acres = 5,000 x 3.3 = $16,500
Total amount paid for the land and the land
= cost of house and land + cost of additional 3.3 acres of land
= 165,000 + 16,500
= $181,500
