Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
The answer would be B because it gose through both points.
Let the number of shaded square be x. And it is given that total number of squares are 25.
![probability = \frac{shaded \ squares}{total \ squares}](https://tex.z-dn.net/?f=%20probability%20%3D%20%5Cfrac%7Bshaded%20%5C%20squares%7D%7Btotal%20%5C%20squares%7D%20)
Substituting the values
![0.2 = \frac{x}{25}](https://tex.z-dn.net/?f=%200.2%20%3D%20%5Cfrac%7Bx%7D%7B25%7D%20)
Performing cross multiplication
![0.2*25=x \\ x = 5](https://tex.z-dn.net/?f=%200.2%2A25%3Dx%20%5C%5C%20x%20%3D%205%20)
So 5 squares should be shaded to create a region with a geometric probability of 0.2 .
Answer:
number 3. is wrong you can reduce once more and it will equal 3/5. and number 4 would be 5/7.
Step-by-step explanation:
divide 12/20 by 2 on the top and bottom. you should get 6/10. you can divide that once more by 2 on the top and bottom and you should get 3/5. thats simplest form.
divide 25/35 by 5 on the top and bottom youll get 5/7. thats the simplest form.
hope this helped :)