Answer:
- m∠ABP is 32°,
- m∠ABC is 64°.
Step-by-step explanation:
According to the construction we have:
- BD = BE
- PD = PE
- BP - is common side of triangles BPD and BPE
It gives us:
Then, corresponding angles of congruent triangles are congruent:
So,
- ∠ABP ≅ ∠CBP ⇒ m∠ABP = 32°
Then,
- m∠ABC = m∠ABP + m∠CBP = 32° + 32° = 64°
The length of the ramp calculated using Pythagoras is approximately 350 cm
From the diagram attached :
- Height of ramp = opposite = 225 cm
- Angle of inclination, θ = 40°
Using Pythagoras ; the length of the ramp can calculated as follows :
Sin θ = opposite / hypotenus
Sin 40° = 225 / hypotenus
Cross multiply
Hypotenus × 0.6427876 = 225
Divide both sides by 0.6427876 to isolate the hypotenus
Hypotenus = 225 / 0.6427876
Hypotenus = 350.03786 cm
Therefore, the length of the ramp which is the hypotenus is approximately 350 cm
Learn more : brainly.com/question/10040532
Answer:
So, 35 degrees is your answer.
Step-by-step explanation:
180 - 100 - 45 = 35 degrees
Hope my answer has helped you!
Answer:
2 months
Step-by-step explanation:
x=months rented
20+30x=80 (Subtract 20 from both sides)
30x=60 (Divide both sides by 30)
x=2