In one day, Mr. Stevens painted 1/5 of a house.
Each son paints 1/4.5 of a house in one day.
If Mr. Stevens and his two sons work together, the would paint (1/5+1/4.5+1.4.5)=(9/45+10/45+10/45)=29/45 of a house in one day.
It will take them 1/(29/45)=45/29 days to finish painting the house, assuming their work is additive, like no waiting for drying for the second coat, etc.
Set up a proportion
1/500=x/650
Cross multiply
650=500x
Divide both sides by 500
1.3=x
So the distance on the map would be 1.3 inches
Answer:
alternate interior angles are always congruent.
Step-by-step explanation:
- Consecutive [Same-side] exterior angles are always supplementary.
- Consecutive [Same-side] interior angles are always supplementary.
- Corresponding angles are always congruent.
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Answer:
Triangles ABE and CDE are congruent by AAS.
Step-by-step explanation:
AB ≅ DC (Opposite sides of a parallelogram are congruent.
m < AEB = m < DEC (Vertical angles).
m < ABE = m < EDC ( Alternate Interior angles).
So triangles ABE and CDE are congruent by AAS.
