Answer:
yes,this is congruent by SAS criteria
Answer:
Explanation:
x - 7y = 7
-7y = -x + 7
y = (-1/-7)x + 7/-7
y = (1/7)x - 1
6x - 7y = -28
-7y = -6x - 28
y = (-6/-7)x - 28/-7
y = (6/7)x + 4
Answer:
3.08 km/h.
Step-by-step explanation:
We know that,
Ali traveled at a speed of s km/h for 2.5 hours.
Let d be the distance and t be the time.
...(1)
On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.
...(2)
From (1) and (2), we get
Put t=40 in (1).
So, t=40 and d=100.
Now,
Total distance = d + d = 100 + 100 = 200
Total time = t + t - 15 = 40 + 40 - 15 = 65
So, the average speed is
Therefore, the average speed is 3.08 km/h.
Answer:
do you have a picture of this
Answer: 233 people per thousand
Step-by-step explanation:
Using extrapolation method,
if 150/k in 1950,
200/k in 1990,
275/k in 2020,
2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.
Therefore,
(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)
Where x is the number of retirees per thousand for 2003
Making x the subject of relation in the above equation.
Cross multiply the equation above;
(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)
13(275 - x) = 17(x-200)
3575 - 13x = 17x - 3400
Collect the like terms
3575+3400 = 17x + 13x
30x = 6975
x = 6975/30
x = 232.5
x = 233 people per thousand to the nearest integer
