Answer:
Angle x= 60°
Step-by-step explanation:
For the triangle HIL, you're going to add 30+90=120
Angles in a triangle add up to 180.
So, therefore,
180-120=60 so angle L must equal 60.
HJ is a straight line and angles in a straight line add up to 180.
180-90=90
Angle JIL is equal to 90.
To find y you add 90+45 which equals 135.
Again, angles in a triangle add up to 180.
180-135=45
So,
y = 45
Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.
To find angle JLK we must add angle L and angle y.
60+45=105
Angles in a straight line add up to 180. So,
180-105=75
75 = Angle JLK
75+45=120
Angles in a triangle add up to 180 so,
180-120= 60
Angle x= 60°
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A function is decreasing if, reading from left to right, we can see that the graph of the function goes down.
Here we can't see the graph, but we have a brief description.
"the graph goes up until it reaches a maximum at (0, 5), then the graph reaches a relative minimum at (1, 4), then it goes up again"
Now, the graph was going up until it reached the maximum, so at that point, the graph starts going down.
The graph will go downwards until it reaches the minimum, at that point the graph starts increasing again.
So the graph only goes down between x = 0 and x = 1.
we can conclude that the interval on which the given function is decreasing is [0, 1]
If you want to learn more, you can read:
brainly.com/question/21287583
Answer:
d = all real numbers
Step-by-step explanation:
3(2d-4)-4d<2d+4
distribute
3*2d -3*4 - 4d < 2d+4
6d -12 -4d < 2d+4
combine like terms
2d -12 < 2d+4
subtract 2d from each side
2d -2d -12 < 2d-2d+4
-12 < 4
this is true always
so the inequality is true for all values of d
Answer:
There will be 3 1/6 present in 1/2
Step-by-step explanation: