Learning Task 3: Write at least three equivalent ratio of the given ratio. Write your answer in your notebook. 6.) 8/10 = 7.) 3/5 = 1.) 2/4 = . = 2.) 5/10 = 3.) 4/5 = = I 8.) 2/8 = 9.) 3/7 = 10.) 6/8 4.) 3/9 = 5.) 2/5 = - cond and colon form. Do this in​

Answers

Answer 1

Answer:

Equivalent Ratio

A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.

Solution:

Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.

1) ‌2⁄4‌ = ‌1⁄2, ‌4⁄8, ‌6⁄12

‌2÷2 / 4÷2 = 1⁄2

2×2 / 4×2 = 4⁄8

2×3 / 4×3 = 6⁄12

2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60

5÷5 / 10÷5 = 1⁄2

5×4 / 10×4 = 20⁄40

5×6 / 10×6 = 30⁄60

3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35

4×2 / 5×2 = 8⁄10

4×4 / 5×4 = 16⁄20

4×7 / 5×7 = 28⁄35

4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63

‌3÷3 / 9÷3 = 1⁄3

3×3 / 9×3 = 9⁄27

3×7 / 9×7 = 21⁄63

5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35

2×2 / 5×2 = 4⁄10

2×4 / 5×4 = 8⁄20

2×7 / 5×7 = 14⁄35

6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70

‌8÷2 / 10÷2 = 4⁄5

8×3 / 10×3 = 24⁄30

8×7 / 10×7 = 56⁄70

7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60

‌3÷3 / 15÷3 = 1⁄5

3×2 / 15×2 = 6⁄30

3×4 / 15×4 = 12⁄60

8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56

‌2÷2 / 8÷2 = 1⁄4

2×3 / 8×3 = 6⁄24

2×7 / 8×7 = 14⁄56

9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42

3×2 / 7×2 = 6⁄14

3×4 / 7×4 = 12⁄28

3×6 / 7×6 = 18⁄42

10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48

6÷2 / 8÷2 = 3⁄4

6×4 / 8×4 = 24⁄32

6×6 / 8×6 = 36⁄48

Step-by-step explanation:

Answer 2

Answer:Equivalent Ratio


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Answers

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The measure of ∠A = 107.5°

Step-by-step explanation:

Given that

ABCD is a kite such that

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Join A and C

Since AB = BC

→ ∠BAC = ∠BCA

Since , the angles opposite to equal sides are equal.

Let ∠BAC = ∠BCA = x°

and

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Since , the angles opposite to equal sides are equal.

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Now

In ∆ ADC ,

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Since , the sum of the all angles in a triangle is 180°

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Therefore, ∠CAD = ∠ACD = 75°

and

In ∆ ABC,

∠ ABC + ∠BAC + ∠BCA = 180°

Since , the sum of the all angles in a triangle is 180°

⇛ 115° + x° + x° = 180°

⇛ 115°+2x° = 180°

⇛ 2x° = 180°-115°

⇛ 2x° = 65°

⇛ x° = 65°/2

⇛ x° = 32.5°

Therefore, ∠BAC = ∠BCA = 32.5°

Now, ∠ A = ∠BAC + ∠CAD

⇛ ∠A = 32.5° + 75°

⇛ ∠A = 107.5°

Therefore, ∠A = 107.5°

Answer:-

) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°

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