Answer:
Step-by-step explanation:
m∠ JHI + m∠GHJ = 180 { linear pair}
m∠JHI + 90 = 180
m∠JHI = 180 -90 = 90
In ΔGHJ and ΔJHI,
GJ = IJ { given}
JH = JH {common}
m∠ JHI = m∠GHJ { above proved}
ΔGHJ ≅ ΔJHI { Angle Side Side congruence}
There are C(5,2) = 10 ways to choose 2 contraband shipments from the 5. There are C(11, 1) = 11 ways to choose a non-contraband shipment from the 11 that are not contraband. Hence there are 10*11 = 110 ways to choose 3 shipments that have 2 contraband shipments among them.
There are C(16,3) = 560 ways to choose 3 shipments from 16. The probability that 2 of those 3 will contain contraband is
110/560 = 11/56 ≈ 19.6%
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C(n,k) = n!/(k!(n-k)!)
9514 1404 393
Answer:
∠KXN and ∠QXT
Step-by-step explanation:
The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.
Here, we'll refer to angle aXb as "ab".
NP = 95 -35 = 60
PQ = 35 -20 = 15 . . . not complementary to NP
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KN = 165 -95 = 70
QT = 20 -0 = 20 . . . complementary to KN ⇒ your answer
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JK = 180 -165 = 15
PQ = 35 -20 = 15 . . . not complementary to JK
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JK = 15
NK = KN = 70 . . . not complementary to JK
The first carpenter is 0.4464 of the way is ahead of the second carpenter
<u>Solution:</u>
Given, Two carpenters are building a fence
After 5 minutes, one carpenter is finished 4/7 of the way
Second carpenter finished 1/8 of the way
Now, let us find the work done by each carpenter
Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter
= 0.5714 – 0.125 = 0.4464
Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter
Answer:
C. $25
Step-by-step explanation:
We will find,
The slope of the function using .
Taking the points (1,40) and (2,55).
Slope =
i.e. Slope =
i.e. Slope = 15
Substituting the slope and point (1,40) in the equation ,
We have,
i.e.
i.e. b= 25
Thus, the equation of the linear function is .
<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>
So, the initial value of the comic book is when x= 0.
So, i.e. y= 25
Hence, the cost of the book when Lucy purchased it was $25.