Answer:
Option 3 - 4 miles
Step-by-step explanation:
Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.
To find : How far apart are the police station and the fire station?
Solution :
Let the distance between police station and fire station be 'x'.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
i.e. 
The distance between the library and the police station is 5 miles.
i.e. 
Therefore, The police and fire stations is 4 miles apart.
So, Option 3 is correct.
(You go from left to right)
(Dividend is 931, divisor is 7)
Step 1: Look for a number smaller than 9 that is divisible by 7. 7 is the only one which is smaller than 9 and is divisible by 7. Now that you know 7*1=7, you put 1 above 931 (Dividend)
Step 2: You subtract that number from the number in tens place. And bring the leftover down.
Step 3: You repeat Step 1 and 2 until either you get a remainder of 0 or the remainder in smaller than the divisor (in this case 7)
(Therefore 931/7=133, quotient=133, remainder=0)
^Hope this helps.
Answer:
Area of Square= 12*12= 144
Area of Circle= πr2
Radius= 12/2= 6
Area of Circle= 3.14*6*6 =113.04
Area of shaded region= 144- 113.04 = 30.96 = 31.0 (1 dp)
Let's go through the possible answer choices one by one
A) BE is congruent to ED
This is true because "BE" and "ED" are formed by the first two letters of BEC and DEC respectively. The triangles are congruent, so the corresponding sides must be congruent. To name a segment, the order does not matter. Writing "DE" is the same as "ED".
B) AC is congruent to BD
False. Point A isn't mentioned at all. We don't know for sure how point A fits in. The statement may be true, or it could easily be false as well. We don't have enough info.
C) Angle BEC = angle DCE
False. The order of the letters is very important. For angle BEC, we have E in the middle so the vertex of the angle is at point E. For angle DCE, the vertex is at point C. If angle BEC = angle DCE, then E and C must correspond; however they don't. Back up at the top, it says "DEC is congruent to BEC", so we see that E corresponds to E, and C corresponds to C.
D) angle BCA = angle BCD
False. Again we don't know anything about point A. The same issues come up as they did with choice B.
The only true result is choice A
