Answer: then the triangles would be congruent by ASA .
then the triangles would be congruent by AAS .
Step-by-step explanation:
Given: Two triangles in which
The additional information for proving triangles are congruent can be the then the triangles would be congruent by ASA (two angles and an included side).
then the triangles would be congruent by AAS (two angles and an non-included side).
All the other options are not correct because there is no definition or postulate for congruence which satisfy them to prove triangles are congruent.
Answer:
c
Step-by-step explanation:
Answer:
8 Inches
Step-by-step explanation:
The length would be w+5, making your equation (5)(w+5)(w)=120, which can be simplified to 5w²+25w-120=0. Then take out a GCF of 5, giving you 5(w²+5w-24)=0. Find the factors and get (w+8)(w-3). Your solutions are -8 and 3. -8 can be taken out, so the final answer is 3. Then you plug it back into the length, so 3+5 is 8.
Answer:
cost of each kettle:
gain/loss from each transaction:
- gain from selling K₁ = 130
- loss from selling K₂ = 195
total loss = 65
loss % = 4%
Step-by-step explanation:
both kettles cost 1625
K₁ + K₂ = 1625
selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁
selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂
1.2K₁ = 0.8K₂
K₁ = 1625 - K₂
K₁ = 0.8K₂ / 1.2
1625 - K₂ = ²/₃K₂
1625 = ²/₃K₂ + K₂ = ⁵/₃K₂
K₂ = 1625 x ³/₅ = 975
K₁ = 1625 - K₂ = 1625 - 975 = 650
selling price = 1.2K₁ = 1.2 x 650 = 780
selling price K₂ = 0.8K₂ = 0.8 x 975 = 780
gain from selling K₁ = 780 - 650 = 130
loss from selling K₂ = 780 - 975 = 195
total loss = 195 - 130 = 65
loss % = 65 / 1625 = 0.04 = 4%
Answer:
25
Step-by-step explanation:
Find the number by dividing 75 by 3, since 75 is the number tripled.
75/3
= 25
So, 300% of 25 is 75.