Select the correct answer from each drop-down menu.
1 answer:
Answer:
Grades 6 and 8
Step-by-step explanation:
If the relationship of girls to boys in two different grades are proportional, <u>they must have the same ratio</u>. To tackle this problem, we can find the <u>ratios</u> of genders in each grade and compare them.
Step 1, finding ratios:
Finding ratios is just like <u>simplifying fractions</u>. We will reduce the numbers by their<u> greatest common factors</u>.
- GRADE 6:
- GRADE 7:
- GRADE 8:
- GRADE 9:
<u>Can't be simplified!</u>
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Step 2:
Notice how grades 6 and 8 both had a ratio of 3:4. We can conclude that these two grades have a proportional relationship between girls and boys.
<em>I hope this helps! Let me know if you have any questions :)</em>
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Answer:
<em>The little brother should place the mirror at 36 ft from the base of the tree to properly see its top</em>
Step-by-step explanation:
<u>Similar Triangles </u>
Two triangles are defined as similar if their corresponding angles are congruent and the corresponding sides are in proportion. The triangle formed by the kid and the ground and the triangle formed by the tree and the ground are similar since the angle of reflection over the mirror is the same, i.e. the light travels in a straight line. This means that we can set this proportion
Solving for x
The little brother should place the mirror at 36 ft from the base of the tree to properly see its top