Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
1 white shirt
1 black shirt
1 blue shirt
1 blue pant
1 tan pant
There are 5 total articles of clothing and 2 that he could end up wearing (white shirt & tan pants)
so the probability equals 2/5
Answer:
Therefore the Last option is correct

Step-by-step explanation:
Given:
Radius = r = 8 in
θ = 42°
To Find:
Area of Sector = ?
Solution:
We know that

Substituting the given values in the formula we get

Which is the required Answer.
Therefore the Last option is correct

I think the answer is correctly answered