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neonofarm [45]
3 years ago
10

Find the value of x in the diagram

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

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The table shows the number of candid pictures of students for the yearbook for two consecutive years. Year Number of Photos 2015
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Answer:

The percentage decrease in the number candid student pictures for the yearbook from 2015 to 2016 is approximately 9.3 percent

Step-by-step explanation:

The given data can be presented as follows

Year           {}                      Number of Photos

2015           {}                      236

2016           {}                      214

The percentage decrease in the number of candid pictures is give by the following formula

Percentage \ Decrease = \dfrac{Original \ Value- New \ Value}{Original \ Value}  \times 100

Where;

Original value for the number of pictures = 236

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Substituting the values into the equation for the percentage decrease gives;

Percentage \ Decrease = \dfrac{236- 214}{236}  \times 100 = \dfrac{550}{59} \ percent\approx 9.3 \%

The percentage decrease is approximately 9.3 percent.

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