Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
Answer:
Meters
Step-by-step explanation:
Meter is the standard unit of length in SI system and is normally used to measure houses and fields, therefore it is appropriate unit of measure for the dimensions of the playground.
A meter has 100 centimeters which is fairly small unit and cannot be used for dimensions of playground.
Similarly a Kilometer has 1000 meters and is used to measure long distances from one place to other which also makes it inappropriate unit for dimension of playground.
Hope that clarifies the answer.
Answer:
r = 8
Step-by-step explanation:
Given that M is directly proportional to r² then the equation relating them is
M = kr² ← k is the constant of proportionality
To find k use the condition when r = 2 , M = 14
k = 
=
= 
M = r² ← equation of proportion
When M = 224, then
224 =r² ← multiply both sides by 2
7r² = 448 ( divide both sides by 7 )
r² = 64 ( take the square root of both sides )
r = 
= 8
have wonderful day
Answer:
fourth option is your best bet
25 cars, because if 10 cars = 2/5 of his collection that means 5 cars are 1/5. Since 1/5 x 5 = 1, that means there are 25 cars in his collection. (5x5 = 25)
