To prove that <span>ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.
From the diagram, it is shown that CA is congruent to RM.
From the first option, given that </span>m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = <span>m∠M = 64°). </span>
This shows that the first option is correct.
From the second option, given that CB = MQ = 29 cm, then we have CA = RM, <span>CB = MQ, but ACB is not congruent to RMQ.
Thus the second option in not correct.
From the third option, </span>m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60<span>°, but we do not know the value of MRQ.
Thus the third option is not correct.
From the fourth option, </span>m∠R = 60° and AB ≅ MQ, then we have <span>CA = RM, AB = MQ, RMQ = </span>64<span>°, but we do not know the value of CAB.
Thus the fourth option is not correct.
From the fifth option</span>, <span>AB = QR = 31 cm, then we have </span><span>CA = RM, </span><span>AB = QR, but we do not know the value of CAB or MRQ.
Thus, the fifth option is not correct.
Therefore, the additional information that </span><span>could be used to prove ΔABC ≅ ΔMQR using SAS is </span><span>m∠A = 64° and AB = MQ = 31 cm</span>
The characteristic of the fungus kingdom is that they have eukaryotic cells. Organisms in the fungus kingdom are all multi-cellular. Because of their lack of chloroplast they are not able to make their own food like plants. Multi-celled organisms have cell nucleus unlike single celled. The fungus also contains a cell wall.
Answer:
3.42857143
Step-by-step explanation:
Answer:
0.082
Step-by-step explanation:
Total number of clients = 4
From past experience, the agent knows that the probability of making a sale on any appointment is one out of five = 1/5.
This shows that there are only two possible outcomes, success or failure. It is either she makes a sale on an appointment or she fails to make a sale on the appointment. Therefore, we can use binomial distribution.
For binomial distribution,
P(x=r) = nCr × q^(n-r) × p^r
p = probability of making a sale on any appointment = 1/5 = 0.2
q = probability of not making a sale on any appointment = 1 -1/5 = 0.8
n = 5
x = 3
P(x=3) = 5C3 × 0.8^2 × 0.2^3
= 10×0.6724× 0.012167 =0.082
