Answer:
1 2 3 4 5
Step-by-step explanation:
Answer:
. (In this problem we prove a fact that you demonstrated experimentally in Problem1 of the fourth assignment.) LetABCDbe a quadrilateral. LetM, N, P,andQbe the midpoints of the sides. Prove the area ofMNPQis one half the area ofABCD.4. (See Figure 1.) Give the proof of Theorem 24 for Case (iii). Given:MandNarethe midpoints ofABandAC,MX⊥AB,NX⊥AC, andXis onBC. To prove:Xis on the perpendicular bisector ofBC.XNCMABFigure 1
5. (See Figure 2). Prove Case (ii) of Theorem 28. Given:A0,B0andC0are collinear.To prove:A0BA0CB0CB0AC0AC0B= 1.C'A'B'ABCFigure 26. (See Figure 3.)Given:6A=6B,AD=BE,6ADG=6BEF.To prove:6CFE=6CGD.FGECDBAFigure 37. Suppose that you have a computer program which can perform the following func-tions:
(a) It can draw points, and draw line segments connecting two points.(b) Given a pointOand a line segmentAB, it can construct the circle with centerOand radius equal to the length ofAB.(c) Given a line segmentAB, it can find the midpoint.(d) Given a lineland a pointP(not necessarily lying onl), it can construct theline throughP
Step-by-step explanation:
Answer:
x = -0.5 or 6
Step-by-step explanation:
→ First find the first set of terms in brackets
( 2x + ? ) ( x - ? )
→ Find 2 numbers which multiply to give -6 and subtract to give -11 when multiplied by 2
( 2x + 1 ) ( x - 6 ) = 0
→ Now solve
x = -0.5 or 6
Answer:
5
Step-by-step explanation:
We cannot repeat an x value for the relation to be a function
Since x=3 ,4, 7 are already used
We must let x=5
Answer:
D. Randomly draw and replace a card 100 times. Then, observe how close to 20 times a club is drawn.
Step-by-step explanation:
We are given that,
Martha predicts that 'whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time'.
Now, according to the options, we see that,
If she randomly draw and replace a card 100 times and then observe how close to 20 times a club is drawn.
Her prediction is most likely to be true.
As, 20 out of 100 times is th of the total time.
Hence, option D is correct.