9 - 1 + x + 2 ( x )
9x - x + x2 + 2x
x2 + 10x
Answer:
BD = 20 units
Step-by-step explanation:
Given that,
Parallelogram ABCD has diagonal segments AC and BD that intersect at E.
BE = (x+8) and ED = 5x
We need to find the length of BD.
BD = BE + ED ...(1)
We know that the diagonals of a parallelogram bisects each other. It means,
BE = ED
x+8 = 5x
8 = 5x - x
8 = 4x
x = 2
BE = (x+8)
= (2+8)
= 10
ED = 5x
= 5(2)
= 10
Put the values in equation (1).
BD = 10 + 10
= 20 units
Hence, the length of BD is 20 units.
Using relations in a right triangle, it is found that the angle of depression is of θ = 56.31º.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
For this problem, we have that:
- The opposite side to the angle of depression is the top of tower, at a height of 9000 feet.
- The adjacent side to the angle is the distance to the bird, of 6000 feet.
Hence, considering θ as the depression angle, we have that:
tan(θ) = 9000/6000
tan(θ) = 1.5
θ = arctan(1.5)
θ = 56.31º.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
Step-by-step explanation:
steps are stated below
step 1
(x-5^2)-7=93 equation
step 2
x-5^2-7=93 remove brackets
step 3
x-5^2-7=93 simplify
x+(-25)+(-7)=93
step 4
(x)+(-25+-7)=93 combine the tems
x+(-32)=93
step 5
x+(-32)=93 change the symbols
x-32=93
step 6
x-32(+32)=93(+32) add +32 to both sides so we can get our answer
x=-0=93+32
x=125
