Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
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Answer:
the correct answer is Y=-x-3
Fine the area of the circle:
Area of a circle = pi x r ^2
Area of the circle = 3.14 x 4^2 = 50.24 square cm
Find the area of the triangle:
Area of triangle = 1/2 x base x height
Area =1/2 x 8 x 4 = 16 square cm
Find the area of the white part by subtracting the area of the triangle from the circle:
50.24 - 16 = 34.24 square cm.
The probability of landing in white is the area of white/ area of circle:
34.24/50.24 = 0.682
Multiply by 100 to get percent:
0.682 x 100 = 68.2%
Answer:
x = -3/16
Step-by-step explanation:
6x + 5x - 25 = -5x - 28
11x - 25 = -5x - 28
Add 5x to both sides.
16x - 25 = -5x + 5x - 28
16x - 25 = -28
Add 25 to both sides.
16x - 25 + 25 = -28 + 25
16x = -3
Divide both sides by 16
16/16 = 1
-3/16
x = -3/16
Dude use the formula of height and distance to find the height of the trangle and then you can find the other side length using Pythagorus theorem
