Find the m A)50 degrees B)60 degrees C)70 degrees D)80degrees

Mathematics

2 answers:

Licemer1 [7]4 years ago

8 0

Answer:

Step-by-step explanation:

∠DEC + ∠EDC + ∠ECD = 180 {angle sum property of triangle}

45 + 65 + ∠ECD = 180

110 +∠ECD = 180

∠ECD = 180 - 110

∠ECD = 70°

AB // CD and AE transversal

∠BAC = ∠ECD {Corresponding angles are equal}

∠BAC = 70°

lara31 [8.8K]4 years ago

7 0

Answer:

Step-by-step explanation:

65 and 45 make up 110, and triangles are composed up 180°. The missing angle thatll make it add up to 180 is 70

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4 years ago

12z-7z-2=13 solve for z

devlian [24]

Answer: z = 3

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To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.

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3 years ago

California is hit every year by approximately 500 earthquakes that are large enough to be felt. However, those of destructive ma

Elanso [62]

Answer:

a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788

b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165

Step-by-step explanation:

Tha most appropiate distribution to model the probability of this events is the exponential distribution.

The cumulative distribution function of the exponential distribution is given by:

$P(t$

The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.

We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:

$P(t>0.25)=1-P(t$

Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58) elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.

$P(t>0.58)/P(t>0.25)=P(t>0.33)$