Answer: The correct option is the first one.
Step-by-step explanation:
Let's define how to interpret each symbol:
x < a (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)
x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)
x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)
x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)
In this case, we have the inequality:
x ≤ 15
Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.
Answer:
all three angles should add up to 180 so subtract what you know from 180 and you should be able to find everything from there
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = 
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
Answer:
4 hours
Step-by-step explanation:
In 6 hours, J paints 1 room
So, in 1 hour, J paints 1/6 th of the room
Using similar logic, in 1 hour, T paints 1/12 th of the room.
Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.
1/4 of the room is painted in 1 hour
So, 1 room is painted in 1 1/4=4 hours
The answer is A) 7x103 is 3.5 times larger than 2x103
