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svet-max [94.6K]
3 years ago
12

I need help

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0
In this question, we want to evaluate how reasonable is an estimate made by Peter.
To do this, we need to have a range , with the boundaries of the range being the lowest expected area and the highest expected areas respectively.
The lowest expected area would take into recognition the lest length and height which is just 3 by 4 . The area of a section here is thus 3 * 4 = 12 sq.feet
Since there are 5 sections, the total area here is thus 12 * 5 = 60 sq.feet. This is the minimum total area of the sections
For the maximum, we compute the area of the sections using the highest length and height. This is 5 by 6. The area here would be 5 * 6 = 30 sq.feet . Since there are 5 sections, the total area here would be 30 * 5 = 150 sq.feet
Hence, we have the area falling between 60 sq.feet and 150 sq.feet
Since the estimates fall between the boundaries and in fact is closer to the maximum, it is a good estimate
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x° = 14°, y° = 14°; Use vertical and supplementary angles.

Step-by-step explanation:

The image of the answer is attached below.

In the given image two lines are parallel with transversal.

(9x + 12)° and ∠1 are vertically opposite angles.

Vertically opposite angles are equal.

∠1 = (9x + 12)°

Consecutive interior angles are supplementary.

(9x + 12)° + 3x° = 180°

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3x° + (4y – 10)° = 180°

⇒ 3(14)° + 4y° – 10° = 180°

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