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Viefleur [7K]
2 years ago
9

Diego's age `d` is 5 more than 2 times his sister's age `s`. This situation is represented by the equation `d=2s+5`. If we know

Diego's age, which equation will help us find his sister's age?
Mathematics
1 answer:
lutik1710 [3]2 years ago
4 0

Answer:  s=\dfrac{(d-5)}{2}.

Step-by-step explanation:

Given: d denotes Diego's age while s denotes his sister's age.

The situation is represented by the equation d=2s+5.

To find his sister's age we can write the above equation as s=\dfrac{(d-5)}{2} [we first subtract 5 from both sides and then divide both sides by 2]

Hence, the required equation: s=\dfrac{(d-5)}{2}.

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ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

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As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

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divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
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