PLZ HELP I NEED AN ANSWER NOW I WILL MARK BRAINLYEST
1 answer:
Answer:
Δ MNO ≅ ΔXYZ by AAS postulate.
Step-by-step explanation:
Given:
, , and YO = NZ.
Consider YO = NZ
Add OZ on both sides
YO + OZ = NZ + OZ
YZ = NO
Consider triangles Δ MNO and ΔXYZ.
Statement Reason
1. Given
2. Given
3. YZ = NO ∵ YO = NZ
Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.
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The length of the arc is 4π.
<u>Step-by-step explanation </u>:
Given,
Diameter = 24 ft radius, r = diameter/2 r = 24/2 = 12 ft central angle, ∅ = 60° Arc length = ∅/360° (2πr)
⇒ 60°/360° (2π 12)
⇒ 24π/6
⇒ 4π
∴ The length of the arc is 4π.