Answer:
11 1/9
Step-by-step explanation:
3 1/3 x 3 1/3
= 10/3 x 10/3
= 100/9
= 11 1/9
Given:
Radius = 14 ft
θ = 45°
To find:
Area of the shaded sector
Solution:
Area of the sector formula:



ft²
The area of the shaded sector of a circle is 24.5π ft².
The answer would be the third choice as Geometry is essentially based on other proven theorems, axioms, and definitions.
See the picture attached.
We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM
1) <span>
We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>
The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.
2) Δ<span>
XYZ is similar to ΔNYM by the AA (angle-angle) similarity theoremThe AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.
Step-by-step explanation:
4x+2=8+6x
-2x=6
x=-3
Hope it helps