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°
9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
Answer:
sure
Step-by-step explanation:
Answer:
64.1°
Step-by-step explanation:
tan x = opp/adj
tan x = 20/9.7
tan x = 2.0619
x = tan^-1 2.0619
x = 64.1°
Answer:
First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.