Answer:
x = 16
Step-by-step explanation
Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.
Hence 2x+13 = 3x-3
Collect like terms
2x-3x = -3-13
-x = -16
Multiply both sides by -1
-1(-x) = -1(-16)
x = 16
Hence the value of x is 16
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:
A
Step-by-step explanation:
using the sine ratio in the right triangle, then
sin 45° = =
multiply both sides by 5
note the exact value of sin 45° =
x = 5 × sin 45° = 5 × =