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sammy [17]
3 years ago
11

There are 80 red balloons and 20 green balloons each package of balloons. What is the unit rate in red balloons per green balloo

n?
4
20
40
80
Mathematics
2 answers:
AlexFokin [52]3 years ago
6 0

Answer:

The unit rate of the red balloons per green balloons be 4 .

Step-by-step explanation:

As given

There are 80 red balloons and 20 green balloons each package of balloons.

i.e 80 red balloons = 20 green balloons

Now find out the unit rate in red balloons per green balloon .

Unit\ rate\ of\ red\ balloons\ per\ green\ balloons = \frac{Number\ of\ red\ balloons}{Number\ of\ green\ balloons}

Putting the values in the above

Unit\ rate\ of\ red\ balloons\ per\ green\ balloons = \frac{80}{20}

Unit rate of the red balloons per green balloons = 4

Therefore the unit rate of the red balloons per green balloons be 4 .

I am Lyosha [343]3 years ago
5 0
4 is the answer because for every green balloon there are 4 red balloons
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The given triangles ΔDOA and ΔABC are right triangles that have a

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Reasons:

The given parameters are;

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Required:

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A two column proof is presented as follows;

Statement {}                                                 Reason

1. AB is the diameter of circle     <em> </em>{}                 1. Given

2. DO is perpendicular to AB <em> </em>{}                     2. Given

3. ∠DOA = 90° <em> </em>{}                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°  <em> </em>{}                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA <em> </em>{}                                         5. Reflexive property

6. ΔDOA ~ ΔABC  <em> </em>{}                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA  <em> </em>{}                                       7. CASTC

8. ∠ABC = ∠ODA  <em> </em>{}                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC  <em> </em>{}                                        9. Angles in the same segment

10. ∠AEC = ∠ABC  <em> </em>{}                                       10. Definition of congruency

11. ∠AEC = ∠ODA  <em> </em>{}                                        11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

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Learn more about circle theorem here:

brainly.com/question/16879446

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