Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
Answer:
Gregory will catch up Efren after 26 minutes 40 seconds.
Explanation:
Distance traveled = Speed x Time
Speed of Efren = 4 mi/h
Speed of Gregory = 8.5 mi/h
Let the time of catch up be t hours.
Time of journey of Efren before catch up = (t+0.5)hours, since he starts before half hour.
Distance traveled by Efren = 4 x (t+0.5) miles
Time of journey of Gregory before catch up = t hours.
Distance traveled by Gregory = 8.5 x t miles
If they catch up the distance traveled by them is same, so equating both distances.
4 x (t+0.5) = 8.5 x t
4.5t = 2
t = 0.44 hours =26.67 minutes = 26 minutes 40 seconds.
So Gregory will catch up Efren after 26 minutes 40 seconds.
Answer:
20 degrees
Step-by-step explanation:
Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:
7x-8=5x
Subtract 5x from both sides:
2x-8=0
Add 8 to both sides:
2x=8
Divide both sides by 2:
x=4
Now, you can plug this back into the equation for angle B:
B=7(4)-8
B=28-8
B=20
Hope this helps!
Answer: Hmm, i dont know if this is right, but heres one anwser, 11.2, and the second one, 16.
Please tell me which is right.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function in an interval from a to b is given by:
In this question:
Where x goes from 5 to 7.
This means that . So
The rate of change is:
The average rate of change of the function in this interval is of 18.