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weeeeeb [17]
3 years ago
10

AB is tangent to circle D. Find the value of x.

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0

Answer:

c     15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

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Arte-miy333 [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa
inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}

For X=12.04 days:

z=\frac{12.04 - 18.8}{2} \\z=-3.38

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

z=\frac{18.38 - 18.8}{2} \\z=-0.21

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6 0
2 years ago
Work out (3.6 x 10^-5) ÷ (1.8 x 10^2) give your answer in standard form
tatuchka [14]

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3 0
3 years ago
How to approximate to 3 significant figures
kondaur [170]

Answer:

We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.

3 0
2 years ago
What is the measure of the missing angle?
mestny [16]

Answer:

25°

Step-by-step explanation:

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127 + 28 = 155

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5 0
2 years ago
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