Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
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:
128.605 m²
Step-by-step explanation:
Find the areas of the top triangle, and the bottom triangle and add them together.
The top triangle consists of 2 smaller triangles. Look at the larger one, the height is 4.93 and the base is 17. The area is...
A = (1/2)(17)(4.93)
A = 41.905 m²
The bottom triangle consists of 2 smaller triangles. Look at the larger one, the height is 10.2 and the base is 17. The area is...
A = (1/2)(17)(10.2)
A = 86.7 m²
The total area is 41.905 m² + 86.7 m² = 128.605 m²
Answer:
18.15
Step-by-step explanation:
55% = 55/100
33 = 33/1
33/1 x 55/100
33 x 55 = 1815
1 x 100 = 100
1815/100 = 18.15
You - 4 from 5 then 1 left then 1 multiple by 1 ....answer is 1
