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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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WITCHER [35]
I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169

with I:
12x=5y
x=(5/12)y
-> substitute x in II:
((5/12)y+12)^2+(y-5)^2=169
(25/144)y^2+10y+144+y^2-10y+25=169
(25/144)y^2+y^2+10y-10y+144+25=169
(25/144)y^2+y^2+144+25=169
(25/144)y^2+y^2+169=169
(25/144)y^2+y^2=0
y^2=0
y=0

insert into I:
12x=0
x=0

-> only intersection is at (0,0) = option B
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Step-by-step explanation:

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A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun
Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

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n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

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Stolb23 [73]

7.025 is greater than 7 1/8

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2 years ago
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3. Find a in the given figure.​
Anvisha [2.4K]

Answer:

Step-by-step explanation:

Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.

So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b

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And since a and b were the same, a is also 45 degrees.

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