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Evgen [1.6K]
3 years ago
10

Integrated math ll I need help ASAP PLEASE

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

<em>Greetings from Brasil...</em>

We have 2 conditions:

1 - angles opposed by the vertex - the angles are equal

2 - supplementary angles - the sum of the two angles results in 180

2:

(4X + 15) and (5X + 30) are supplementary angles, so:

(4X + 15) + (5X + 30) = 180

9X = 180 - 15 - 30

9X = 135

<h2>X = 15</h2>

1:

(3Y + 15) and (5X + 30) are angles opposed by the vertex, so they are equal

3Y + 15 = 5X + 30

3Y = 5X + 30 - 15

3Y = 5X + 15   <em>above we have already calculated the value of X</em>

3Y = 5.(15) + 15

3Y = 75 + 15

3Y = 90

Y = 90/3

<h3>Y = 30</h3>

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Answer:

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Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

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3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

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3c.

∵ Each length in the actual stage is 3 times the model

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By the property of interior angles in a triangle,

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