Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer:
finding the square root of a negative number is not possible
Answer:
equations:
7x + 4y = 27.35
4x + 5y = 18.75
Step-by-step explanation:
x = burgers
y = sodas
---------------------------------
7x + 4y = 27.35
4x + 5y = 18.75
Answer:
(x²+1)(x-3)
Step-by-step explanation:
Factorize x³ + x - 3x² -3
x³-3x²+x-3
Factorize
x²(x-3)+1(x-3)
= (x²+1)(x-3)
Hence the factorized form is (x²+1)(x-3)
Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h
Radius (r) = 3
Height (h) = 3
2 x pi x 3^2 + 2 x pi x 3 x 3
2 x pi x 9 + 2 x pi x 9
18pi + 18pi
36pi = 113.1 cm^2
Hope this helps!