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°
Answer:
13 m. wide
Step-by-step explanation:
It is 13 because when 10 goes to 13 you add 3 so you add 3 to the other one
13 + 3 = 16 so then you multiply both of them together
16 * 13 = 208
Therefore the answer is 13 m. wide
Answer:
B: BC ≅EC
Step-by-step explanation:
You know that the two angles starting in C are congruent (they're opposite by vertex C).
Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B
Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
