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slavikrds [6]
2 years ago
8

Show your solution read the instructions​

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

Answer:

1) 5r + 2 < s

2) 12t + 6s < 960

3) p - q > 30

Step-by-step explanation:

1) Length of a ruler = r

Height of Shiela = s

According to the question ,

5 times the length of a ruler increased by 2 .

⇒ 5r + 2

Also , 5r + 2 is less than height of Shiela.

Hence , the linear inequality is ⇒ 5r + 2 < s

2) Let the cost of each t-shirt be 't' & cost of each short be 's'.

⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s

According to the question ,

12t & 6s is not greater than Php 960.

Hence the linear inequality is ⇒ 12t + 6s < 960

3) Let the number of Php 100-peso tickets be 'p' and let the number of Php  50-peso tickets be 'q'.

According to the question ,

Difference of p & q is not less than 30

Hence the linear inequality is ⇒p - q > 30

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Answer:

<u>x = 60°</u>

Step-by-step explanation:

The rest of the question is the attached figure.

And it is required to find the angle x.

As shown, a rhombus inside a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

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So,

60 + x = 120

x = 120 - 60 = 60°

<u>So, the measure of the angle x = 60°</u>

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