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sweet [91]
2 years ago
5

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl

e. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
7 0

<u>Answer:</u>

  • The value of x is 50°.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • x = y
  • 2(70 + 60) + x + y = 360

<u>Work:</u>

  • 2(130) + x + x = 360
  • => 260 + 2x = 360
  • => 2x = 360 - 260
  • => 2x = 100
  • => x = 50

Hence, <u>the value of x is 50°.</u>

Hoped this helped.

BrainiacUser1357

lara31 [8.8K]2 years ago
3 0

Answer:

x =50° , y = 50°

we know that angles on a straight line equals to 180°

here,

y + 70° + 60° = 180°   ( <u><em>as lies on straight line</em></u> )

y = 180° - 70° - 60°   ( <u><em>changing sides, changes the sign + to - and - to positive</em></u> )

y = 50°

we can see y = x as they are parallel to each other

so x = 50°

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Step-by-step explanation:

The 68-95-99.7 rule states that, when X is an observation from a random bell-shaped (normally distributed) value with mean \mu and standard deviation \sigma, we have these following probabilities

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In our problem, we have that:

The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 11 months

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Pr(53-11 \leq X \leq 53+11) = 0.6827

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Pr(42 \leq X \leq 64) = 0.6827

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What is the approximate percentage of cars that remain in service between 64 and 75 months?

Between 64 and 75 minutes is between one and two standard deviations above the mean.

We have Pr(31 \leq X \leq 75) = 0.9545 = 0.9545 subtracted by Pr(42 \leq X \leq 64) = 0.6827 is the percentage of cars that remain in service between one and two standard deviation, both above and below the mean.

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The approximate percentage of cars that remain in service between 64 and 75 months is 13.59%.

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