Ricardo was mixing blue paint and yellow paint in a ratio of 3:5 to make green paint. He wants to make 40 liters of green paint.
1 answer:
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Answer:
Given: In triangle ABC and triangle DBE where DE is parallel to AC.
In ΔABC and ΔDBE
[Given]
As we know, a line that cuts across two or more parallel lines. In the given figure, the line AB is a transversal.
Line segment AB is transversal that intersects two parallel lines. [Conclusion from statement 1.]
Corresponding angles theorem: two parallel lines are cut by a transversal, then the corresponding angles are congruent.
then;
and
Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.
by Reflexive property of equality:
By AAA (Angle Angle Angle) similarity postulates states that all three pairs of corresponding angles are the same then, the triangles are similar
therefore, by AAA similarity postulates theorem
Similar triangles are triangles with equal corresponding angles and proportionate side.
then, we have;
[By definition of similar triangles]
therefore, the missing statement and the reasons are
Statement Reason
3. Corresponding angles theorem
and
5. AAA similarity postulates
6. BD over BA Definition of similar triangle
~For this problem, you need to divide.
~The easy way that I think might help you is if you change the fraction into a decimal.
Now divide $8.47 by 0.875
The price per pound of the coffee was $9.68
~The easy way that I think might help you is if you change the fraction into a decimal.
Now divide $8.47 by 0.875
The price per pound of the coffee was $9.68