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ludmilkaskok [199]
2 years ago
15

A bowl of fruit contains only strawberries and grapes. For every 2 strawberries in a bowl there are 5 grapes.

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

Given

Let:

S \to Strawberry

G \to Grape

The given parameter can be represented as:

S : G = 2 : 5

Required

The question is incomplete as what is required is not stated.

Possible questions could be to determine the number of strawberries given a certain number of grapes, and vice versa

Take for instance

Calculate the number of grapes when there are 20 strawberries

We have:

S : G = 2 : 5

This becomes

20 : G = 2 : 5

Express as fraction

\frac{20}{ G} = \frac{2 }{5}

Make G the subject

G = 20 * \frac{5}{2}

G = 10 * 5

G = 50

<em>i.e. 50 grapes</em>

<em>Apply the same method given a certain number of grapes</em>

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In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.
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Answer/Step-by-step explanation:

Given:

m<9 = 80°,

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Lines w and v are parallel to each other.

m<1 = m<9 (corresponding angles theorem)

m<1 = 80°

m<2 + m<1 = 180° (linear pair)

m<2 + 80° = 180° (substitution)

m<2 = 180° - 80°

m<2 = 100°

m<3 = m<1 (vertical angles are congruent)

m<3 = 80°

m<4 = m<2 (vertical angles are congruent)

m<4 = 100°

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m<6 = 180° - 68°

m<6 = 112°

m<7 = m<5 (vertical angles)

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m<8 = m<6 (vertical angles)

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m<13 = 68°

m<14 = m<6 (corresponding angles)

m<14 = 112°

m<15 = m<13 (vertical angles)

m<15 = 68°

m<16 = m<14 (vertical angles)

m<16 = 112°

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