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Dafna1 [17]
3 years ago
13

Proving the Parallelogram Side Theorem

Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

Statements                                            Reasons

1. ABCD is a parallelogram                  1. Given

2. Seg. AB is parallel to seg. CD         2. Def of parallelogram

3. Seg. AD is parallel to seg. BC         3. Def of parallelogram

4. Draw seg. BD                                   4. Between 2 pts there is 1 line

5. <ABD is congr <CDB                        5. Alt. Int. < Theorem

6. <BDA is cong <DBC                         6. Alt. Int. < Theorem

7. Seg. BD is congr seg. BD                7. Congr. of seg's is reflexive

8. Triangle BAD is congr tr. DCB         8. SAS Postulate

9. AB is congr CD                                 9. CPCTC

10. BC is congr DA                                 10. CPCTC

11. AB = CD; BC = DA                           11. Def of congr. seg's

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The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true
Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478

<u>Part B</u>

P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

<u>Part C</u>

\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971

6 0
2 years ago
What is one fraction equivalent to 4/7
tia_tia [17]
4/7
4*2 ...  8
7*2 ... 14

8/14 = 4/7

<span>Best Regards, Mike</span>
8 0
3 years ago
Read 2 more answers
Where does the graph of y=-3x-18 intersect with the x axi
fiasKO [112]
Intersect with x axis indicates that x value would be Zero

Thus when x = 0 

y would be 
y = -18

Therefor intersection would be at (0,-18)
8 0
3 years ago
Please answer, thanks! :)
irinina [24]
What’s the question that you have
7 0
3 years ago
HELP FAST PLEASE
Nimfa-mama [501]

Answer:

a. 0

Step-by-step explanation:

1.  To find the slope given two points, use the following formula:

\frac{y^{2}- y^{1} }{x^{2}-x^{1}  }

2. y^{2} would be the second y-value (in the second ordered pair), 2, and y^{1} would be the first y-value (in the first ordered pair), also 2.

3. Same for the x-values. x^{2} is -2 and x^{1} is 4

4. Now plug in the values.

\frac{2-2}{(-2)-4}

5. This equals \frac{0}{-6} which simplifies to 0

8 0
3 years ago
Read 2 more answers
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