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:
KL = 5.25
LJ = 6
Step-by-step explanation:
i don’t know the first one
Answer: The cost of 5.5 pounds strawberries =$ 7.98
Step-by-step explanation:
Given: A local grocery story has strawberries on sale for $1.45 per pound.
i.e. Cost for 1 pound strawberries = $1.45
Now, Cost of 5.5 pounds strawberries = 5.5 x (Cost for 1 pound strawberries)
= $ (5.5 x 1.45)
= $ 7.975 ≈ $ 7.98 [ Round to the nearest penny]
Hence, the cost of 5.5 pounds strawberries =$ 7.98
Answer:
-44
Step-by-step explanation:
Answer:
5 and 11
Step-by-step explanation:
Make equations:
x+y = 16
3x-4 = y
Substitute 3x-4 as y in x+y = 16
You get x + 3x - 4 = 16
Simplify into 4x - 4 = 16
Add 4 on both sides
you get 4x = 20
Divide each side by 4,
You get x = 5. Plug 5 back into x+y = 16
Subtract 5 from both sides, and you get y = 11
