Answer:
Step-by-step explanation:
Use ratios to find x and y, then find AB and GH, them sum up the lengths.
<u>Find x:</u>
- 12/15 = x/10
- x = 12*10/15
- x = 8 in
<u>Find y:</u>
- 12/15 = 16/y
- y = 15*16/12
- y = 20 in
<u>Find AB:</u>
<u>Find GH:</u>
<u>Find the perimeter:</u>
- P = 6 + 15 + 20 + 10 + 37 + 8 + 16 + 12 = 124 in
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)
It would be 39/50 then 13/50 sry I didn't have time to simplify it.
Hope this helps.
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°
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