Answer:
The value of x = 6
Step-by-step explanation:
The angle subtended on same arc are equal in measure.Here <ACD and <ABD are on the same arc. therefore these two angle are equal.
it is given that, m∠ACD=2x+14 and m∠ABD=3x+8
From the figure we get,
m∠ACD = m∠ABD
Therefore we can write,
2x+14 = 3x+8
3x - 2x = 14 - 8
x = 6
Therefor the value of x = 6
5 is the answer thanks
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Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;

The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.
Answer:
4. b) 30
5. c) y=2/3x+9
6. y=2x-5
Step-by-step explanation: