Answer:
The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel
Step-by-step explanation:
To prove that DE is parallel to BC, we have;
The slope, m of the lines DE and BC are found from the following equation;
Where;
(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;
Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;
Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.
4
This is because there is an imaginary 1 in front of the first sqrt.
1quart=2pints=4cups
300people=300cups
300cups=xquarts
4 cups =1 quart
300/4=75
300cups=75quarts
75 quarts needed
1gallon=4quarts
75/4=18.75gallons
or 37.5 times of their recepie
answer is 18.75 gallons or 75 quarts or 37.5 times of their original recipe<span />
For two triangles to be congruent by AAS:
1- Two angles in the first triangle must be equal to two angles in the second triangle
2- A non included side in the first triangle is equal to a non included side in the second triangle
Now, let's check our options. We will find that:
For the two triangles UTV and ABC:
angle T = angle A
angle V = angle C
TU (non-included between angles T & V) = AB (non-included between angles A & C)
Therefore, we can conclude that:
Triangles ABC and UTV are congruent by AAS
I got no solution i might be wrong tho
