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Zielflug [23.3K]
2 years ago
6

In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.

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Neporo4naja [7]

From the given density function we find the distribution function,

F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y

(a)

F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)

\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

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(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

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5 0
3 years ago
A school has a new flag that must be flown at last 52 feet high The current flagpole is 14 m tall How many meters taller does th
ohaa [14]
To start with, convert 52 feet into metres
1 Feet= 0.3048
52 feet= ?
The number of meters= 52*0.3048
The number of meters= 15.8496 metres

The school need to add a further 1.8496 metres
6 0
3 years ago
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