Determine the measure of angle ACD

Mathematics

2 answers:

nlexa [21]10 months ago

6 0

Answer:

115°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

Following this information we can conclude the measure of angle ACD:

40 + 75 = 115

UNO [17]10 months ago

3 0

Answer:

ACD = 115

Step-by-step explanation:

The interior angles of a triangle have to add up to 180, so add 40 and 75 then subtract it from 180.That would cause angle ACB to be 65. Angle ACD and angle ACB have to add up to equal 180. 180-65= 115, so angle ACD = 115.

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aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

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$f(t)=0.4e^{-0.4t}$

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The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$