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:
5 -2√10 = C
Step-by-step explanation:
√25 -√40
√25 = √5 x5 = √5² = 5
√40 = √5 x 8 = √5x 2x4 = √10x4 = √10x 2² = 2√10 (when the 2 comes back into the square root it become 2²)
√25 -√40 = 5 -2√10
Answer:
-12
Step-by-step explanation:
Step 1: Plug in the values: - |-3 - 4| - 5
Step 2: Solve!
= - |-7| -5
= - 7 - 5
= -12
Answer:
the big tank can hold 2027.37 m³of water
10 small tanks can be filled
Step-by-step explanation:
r = 11, h = 16
V = (1/3)πr²h
V = (1/3)121π(16)
1936π/3 = 2027.37
2027.37/200 = 10. 136
10 tanks
Answer:
Step-by-step explanation:
Point-slope form of the equation of a straight line is:
(1)
The two points given in the problem are:
So, the slope of the line is given by:
And substituting into eq.(1), we find:
