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Elena L [17]
3 years ago
7

Find the measure of angle z in the following figure

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:

z=40 degrees

Step-by-step explanation:

a triangle is 180 degrees

<ACB=50 (180-130=50)

50+90=140

180-140=40

Stels [109]3 years ago
3 0

Answer:

40 degrees

Step-by-step explanation:

so in order to find this we first off know that every triangle's inside angles are equal to 180 degrees total.

so if we take that <A is equal to 90 degrees

then we see that the outside of <C is equal to 130 and line BCD is a confirmed straight line

then each line is equal to 180 degrees so we subtract 130 from 180 in order to find the inside angle of C so that would equal 50

so now that we know <A=90

and <C=50

then we add those two together and that equals 140 degrees

and so there is only one more angle which is <Z

so we subtract 140 from the total amount of 180 degrees in the triangle

leaving us with <Z=40 degrees

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The probability that a professor arrives on time is 0.8 and the probability that a student arrives on time is 0.6. Assuming thes
saul85 [17]

Answer:

a)0.08  , b)0.4  , C) i)0.84  , ii)0.56

Step-by-step explanation:

Given data

P(A) =  professor arrives on time

P(A) = 0.8

P(B) =  Student aarive on time

P(B) = 0.6

According to the question A & B are Independent  

P(A∩B) = P(A) . P(B)

Therefore  

{A}' & {B}' is also independent

{A}' = 1-0.8 = 0.2

{B}' = 1-0.6 = 0.4

part a)

Probability of both student and the professor are late

P(A'∩B') = P(A') . P(B')  (only for independent cases)

= 0.2 x 0.4

= 0.08

Part b)

The probability that the student is late given that the professor is on time

P(\frac{B'}{A}) = \frac{P(B'\cap A)}{P(A)} = \frac{0.4\times 0.8}{0.8} = 0.4

Part c)

Assume the events are not independent

Given Data

P(\frac{{A}'}{{B}'}) = 0.4

=\frac{P({A}'\cap {B}')}{P({B}')} = 0.4

P({A}'\cap {B}') = 0.4 x P({B}')

= 0.4 x 0.4 = 0.16

P({A}'\cap {B}') = 0.16

i)

The probability that at least one of them is on time

P(A\cup B) = 1- P({A}'\cap {B}')  

=  1 - 0.16 = 0.84

ii)The probability that they are both on time

P(A\cap  B) = 1 - P({A}'\cup {B}') = 1 - [P({A}')+P({B}') - P({A}'\cap {B}')]

= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56

6 0
3 years ago
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