Answer:
Step-by-step explanation:
Statements Reasons
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1. ∠V ≅ ∠Y Given
2. WZ bisects ∠VWY Given
3. ∠VWZ ≅ ∠YWZ Definition of Angle Bisector (2)
4. WZ ≅ WZ Reflexive Property
5. ΔVWZ ≅ ΔYWZ AAS Theorem (1,3,4)
**In case you didn't know the definitions**
Angle Bisector - A line, segment or ray that divides an angle into two congruent angles
Reflexive Property - X = X
AAS Postulate - If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangle's are congruent
Answer:
150
Step-by-step explanation:
30 + 30 + 45 + 45 = 150
Answer:
A
. (2x + 9) and (x-4)
Explanation:
Given parameters:
Given trinomial;
2x² + x - 36
Possible dimensions of the yard = ?
Solution:
To solve this apply the quadratic factorization;
2x² + x - 36 = 0
2x² -8x + 9x - 36 = 0
2x(x - 4) + 9(x -4) = 0
(2x + 9) (x -4) = 0
The possible dimensions of the rectangular yard is (2x + 9) and (x -4)
To solve this we need to use Pythagorean theorem
![{x}^{2} + {14}^{2} = (9 + x) ^{2} \\ {x}^{2} + 196 = 81 + 18x + {x}^{2} \\ 18x = 115 \\ x = 6.3(8) \simeq6.4](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7B14%7D%5E%7B2%7D%20%20%3D%20%289%20%2B%20x%29%20%5E%7B2%7D%20%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20196%20%3D%2081%20%2B%2018x%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%2018x%20%3D%20115%20%5C%5C%20x%20%3D%206.3%288%29%20%5Csimeq6.4)
Answer: x≈6.4