We know that the postulate of corresponding angle states:
If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Here and
are
corresponding angles.
r and s are the two parallel lines while t is the transversal.
Hence ,
It is given that is a right
Therefore, is also a
right
.
Hence Proved.
E Transversal AB DE bisects < CDF Prove: Z3 = 26 23. Given: rs Transversal 21...
Prove
AB _ BC__ AC aven. DEEF DE Prove: <A><D
Given: 21 and 23 are supplementary. Prove: а || b 3 alb 21 and 23 are supplementary. a. ? d. ? Supplements of the same are e._? b. ? Def. of linear pair 21 and 22 are supplementary. c. ? Which statement can be used in blank e? Converse of the same-side interior angles theorem O Converse of the corresponding angles postulate Converse of the same-side exterior angles theorem Given: 21 and Z3 are supplementary. Prove: a | b b...
2. A random variable X has a cdf given by F(x) = 1 . x < 0 0 < x < 1 <3 x > 3 11, (f) What is P(X = 1)? (g) Find E(X), the expectation of X. (h) Find the 75th percentile of the distribution. Namely, find the value of 70.75 SO that P(X < 70.75) = F(710.75) = 0.75. (i) Find the conditional probability P(X > X|X > 3).
Find all complex variables z E C with Izl < 10 that satisfy e: +2e-:-3. 23
in positive sense (both
exercises)
1)
2)where z2 is the root of z^3 - 1
that is in the second quadrant.
-0<R< 3 1 dz. 12-11=R 23 -1 Jos os -0907 1 dz 12-22=0.997 23 - 1
Additional Problem A: The CDF of random variable X is given by: I< -3 -3 < z< -2 Fx(r) = -2 <I< 2 a) Find the possible range of values that the random variable can take. b) Find E(X) = 4x, the expec ted value. c) Find P(X > 1). d) Find P(X > 1|X > -2).
WS 4-6.2 Given: △XYZ is equilateral and PX-RY_Q2 Prove: aPQR is equilateral 5. 6. Given: <1 = 24, L2 23, SX YO Prove: PQ SR 4 7. Given: BC-AC=AE Prove: m/28-3(m1) 2/4
11-20 Determine Sed 21-30 21 Use C to denote the constant of integration 22 23 24 Overview < Previous Next > 27 29 Standard function i e 31-35 Type here to search
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a) Find the signal x[n] [7] b) Draw the pole – zero plot of the z-transform .[3] c) Is x[n] causal or not? Justify your answer [2]
A continuous random variable X has cdf F given by: F(x)x3, x e [0,1] (1, x〉1 a) Determine the pdf of X b) Calculate Pi<X <3/4 c) Calculate E X]