Given,
- HK is the perpendicular bisector of GJ. So, <u>GK = KJ</u>.
- GK = 2x + 10
- KJ = 3x - 15
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Find KJ .
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First find the value of x

Now, find the value of KJ.

-> The value of KJ is <u>6</u><u>0</u><u>.</u>
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Hope it helps.
RainbowSalt2222
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Answer:

Step-by-step explanation:
This book has 500 pages in total.
We should split up the place values.
1 - 9
One only appears once.
1
10 - 19
One appears 11 times.
1 + 11
20 - 99
One only appears 8 times.
1 + 11 + 8
Add:
1 + 11 + 8
=> 20
Since the same is for 200-299, and so on. Let us add twenty four times.
20 * 4
=> 80
Looking back to 100-199, there are 120 ones.
Add:
120 + 80
=> 200
The value of x is about 4.7
Answer:
x≤9
Step-by-step explanation:
9+2x≤27
1) Subtract both sides by 9:
2x≤18
2) Divide both sides by 2:
x≤9