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SOVA2 [1]
3 years ago
7

ZABC and ZQRS are supplementary angles.

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
7 0

Answer:

Solution given:

<ABC+<QRS=180° (supplementary)

m<QRS=180°-41°=139° is your answer

SVEN [57.7K]3 years ago
3 0

THEOREM:

•<u> </u><u>Supplementary angle</u> —» The sum of two angles is equal to 180°.

ANSWER:

By supplementary angle property,

So, m∠QRS + m∠ABC = 180°

  • m∠QRS + 41° = 180°
  • m∠QRS = 180° - 41°
  • m∠QRS = 139°
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Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

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L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

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(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

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Given that:

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The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

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A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as
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Answer:

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Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

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