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babunello [35]
3 years ago
11

Please answer this question now

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

Measure of arc CD = 112°

Step-by-step explanation:

Since quadrilateral ABCD is a cyclic quadrilateral,

m∠A + m∠C = 180°

129° + m∠C = 180°

m∠C = 180° - 129°

m∠C = 51°

Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]

                           = 2(51°)

                           = 102°

Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°

102° + m(arc CD) + 146° = 360°

m(arc CD) = 360° - (102° + 146°)

                = 112°

Therefore, measure of arc CD is 112°.

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3 years ago
In Miami the number of highway accidents increased by 20% over a four year period. How many accidents were there in 2013 if ther
wariber [46]
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9 0
3 years ago
The ratio of two numbers is 4:5 if the larger number is 300 what is the smaller number​
yaroslaw [1]

Answer:

The smaller number is 240.

Step-by-step explanation:

The question says that the larger number is 300, so 5 has to be 300.

4:5

?:300

You can use cross-multiplication or find the scale factor to find the answer.

Cross-multiplication:

4 × 300 ÷ 5 = 240

Finding the scale factor:

300 ÷ 5 = 60

4 × 60 = 240

The smaller number is 240.

6 0
2 years ago
The radius of a nitrogen atom is 5.8*10^-11 meters, and the radius of a beryllium atom is 1.12*10^-10 meters. Which atom has a l
Burka [1]
Nitrogen Radius = 5.8 x 10⁻¹¹ m

Beryllium Radius = 1.12 x 10⁻¹⁰ m

Let's find the quotient of N/Be :

(5.8x10⁻¹¹)/(1.12x10⁻¹⁰). But 10⁻¹¹/10⁻¹⁰ = 10⁽⁻¹¹⁺¹⁰⁾ = 10⁻¹ = 1/10 = 0.1

→ (5.8/1.12).(0.1) = 0.58/1.12 = 0.518.

Conclusion: the radius of Be is almost double than the radius of N
5 0
3 years ago
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