Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
Answer:
Supplementary angles
x = 31
Step-by-step explanation:
Since, (3x + 25)° and 2x° are straight line angles. Therefore they are supplementary angles
(3x + 25)° + 2x° =180°
(5x + 25)° = 180°
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 155/5
x = 31
Based on the given table above, the correct answer would be option D. 2.18%. So how did we get this result. Looking at the table, the number of adults experiencing nausea is 24 and the total number of trial members is 1100. So given these values, the p<span>robability of getting nausea (as a percentage) is
(24/1100)*100. (0.0218)*100, so we get 2.18. Which gives the probability of 2.18%. Hope this answer helps.</span>
Answer:
Step-by-step explanation:
Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.
To prove: DE is parallel to BC.
Construction: Join DE.
Proof: If we prove the basic proportionality theorem that is 
, then it proves that DE is parallel to BC.
Now, Mid Point D has coordinates=
and Mid Point E has coordinates=
Now, AD= 
DB=
AE=
EC=
Now,
=
Hence,
Thus, By basic proportionality theorem, DE is parallel to BC.
3 (x + 7) = 5x - 2
3x + 21 = 5x - 2
3x - 5x = -2 - 21
-2x = -23
x = -23/-2
x = 23/2
