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.
Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
Answer:
a=k-w+v
Step-by-step explanation:
k/a= w-v
a( k/a) = a (w-v)
k -w + v =a
Answer:
5) D
6) C
7) B
8) D
9) 109°
10) 83°
Step-by-step explanation:
5) In y=mx+b the slope is m. In perpendicular it'll be opposite, so the answer is D.
6) With the above knowledge about slope, the slope will be the same so it'll be C.
7) They are in the same position by different lines and will be corresponding aka B
8) These are adjacent angles because they are next to each other aka D
9) 180 - 71 = 109
10) They are correspodning so 83°
(slightly rushing so I hope this helped, have a nice day!)
go ask ur mom for help not me ty
