Answer: 14 miles
Step-by-step explanation:
70/5 = 14
Congruent triangles are exactly the same, meaning they have the same side length, and thus same angles. Everything is exactly the same, as easy as it gets :)
So, you can compare the two pictures to get the informations you need:
, since it is a right angle
, as we can see on the right by comparison
. In fact, the angles of a triangle sum to 
, so we have 
. So, 
yd, as we can see on the left by comparison.
Finally, we can compute 
using the Pythagorean theorem:
82% of the existing homes in 2011 are sold between $173,300 and $296,300.
<u>Step-by-step explanation</u>:
- mean sale price, M = $214,300
- standard deviation, SD = $41,000
- The sale prices are normally distributed.
The left side of the mean ⇒ 34% = M-SD, 14% = M-2SD, 2% = M-3SD
- 34% ⇒ M-SD = 214,300-41,000 = 173,300
The right side of the mean ⇒ 34% = M+SD, 14% = M+2SD, 2% = M+3SD
- 34%⇒ M+SD = 214,300+41,000 = 255,300
- 14%⇒ M+2SD = 214300+2(41,000) = 296,300
The percentage of existing homes in 2011 that sold for between $173,300 and $296,300 is 34%+34%+14% = 82%
I hope this helps you
Volume =20×10^2square root of 3/4
Volume =500 square root of 3
500 square root of 3-2
