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bagirrra123 [75]
3 years ago
13

In the diagram shown, line mm is parallel to line nn. Cruz says that ∠4∠4 and ∠6∠6 are congruent angles. Is he correct? Why or w

hy not?
a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.

Mathematics
2 answers:
Andrej [43]3 years ago
5 0

Answer:

Yes, because ∠4 and ∠7 are congruent corresponding angles, and ∠6 and ∠7 are vertical angles.

Step-by-step explanation:

ivanzaharov [21]3 years ago
3 0
Well both a and b are correct  because angles 4,6, and 7 are all congruent.
4 and 6 are alternate interior angles, 4 and 7 are corresponding angles, and 6 and 7 are vertical angles all equaling the same degree. so i would go with B only because it backs it up with proof and a is just an observation.
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Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
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Step-by-step explanation:

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Step-by-step explanation:

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