Answer:
EB = 10
Step-by-step explanation:
For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:
CE * ED = AE * EB
(This is applied specifically to this problem)
We can substitute the values given,
5 * (x - 4) = 3 * x
simplify,
5x - 20 = 3x
and solve.
2x - 20 = 0
2x = 20
x = 10
Since the value of EB is x, EB = 10.
Answer:
7 and the corresponding angle theorem
Step-by-step explanation:
Answer:
k =4/5
Step-by-step explanation:

Answer:
Step-by-step explanation:
From the given right angle triangle,
The unknown side represents the hypotenuse of the right angle triangle.
With m∠40 as the reference angle,
x represents the adjacent side of the right angle triangle.
4 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Tan 40 = 4/x
x = 4/Tan 40 = 4/0.839
x = 4.8