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3 years ago

Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer:

a = 55° and b = 60°

Step-by-step explanation:

→ Remember 2 key points about angles

Angles in a triangle add up to 180°

Alternate angles are equal

→ Angle a is alternate to 55° so using the 2nd point,

a = 55°

→ Remember the fact that angle in a triangle add up to 180°

55° + 65° + b = 180°

→ Collect the whole numbers

120° + b = 180°

→ Minus 120° from both sides to isolate b

b = 60°

baherus [9]3 years ago

3 0

Step-by-step explanation:

since m and n are parallel so the right side of b are equal 65degree. 180-55-65 to get B is 60 degree. After that, 180-60-65 will get the A is 55degree

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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

Given

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Arrow pointing left

Required

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3 years ago

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

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Answer:

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Step-by-step explanation:

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