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Zanzabum
2 years ago
10

Help is needed for both of these. Please and thank u!

Mathematics
1 answer:
Anastasy [175]2 years ago
5 0

Answer:

<h3>1. x = 15° | y = 120°</h3><h3>2. x = 4.5 | y = 60°</h3>

Step-by-step explanation:

1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

4x + 4x + 4x = 180 \\ 12x = 180 \\ x =  \frac{180}{12}  \\ x =  {15}^{o}  \\

4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )

4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\  {120}^{o}  = y

2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

y  + 60 + 60 = 180 \\ y  +  120 = 180 \\ y = 180 - 120 \\ y =  {60}^{o}  \\

All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.

Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )

54 = 4x + 4x + 4x \\ 54 = 12x \\  \frac{54}{12}  = x \\ x = 4.5

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The model includes a new park in the center of the city. If the dimensions of the
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The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

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The actual dimensions of the new park are 81 feet by 153 feet.

6 0
3 years ago
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