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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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6 0
3 years ago
Consider the example of finding the probability of selecting a black card or a 6 from a deck of 52 cards.
Marina86 [1]

Answer:

The probability of selecting a black card or a 6 = 7/13

Step-by-step explanation:

In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.

According to the question we need to find out the probability of black card or 6. So we can write it as:

P(black card or 6):

The probability of selecting a black card = 26/52

The probability of selecting a 6 = 4/52

And the probability of selecting both = 2/52.

So we will apply the formula of compound probability:

P(black card or 6)=P(black card)+P(6)-P(black card and 6)

Now substitute the values:

P(black card or 6)= 26/52+4/52-2/52

P(black card or 6)=26+4-2/52

P(black card or 6)=30-2/52

P(black card or 6)=28/52

P(black card or 6)=7/13.

Hence the probability of selecting a black card or a 6 = 7/13 ....

7 0
3 years ago
Can someone help me with this math homework please!
jolli1 [7]

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

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Complete the following statement.
Svetradugi [14.3K]

Answer:

if p ( x ) = x^2 + 7 x + 3 is divided by x + 4, the remainder is -9

Step-by-step explanation:

We need to find the remainder if p ( x ) = x^2 + 7 x + 3 is divided by x + 4

Dividing p ( x ) = x^2 + 7 x + 3 by x + 4

The division is shown in figure attached.

The remainder = -9

The quotient = x+3

So, if p ( x ) = x^2 + 7 x + 3 is divided by x + 4, the remainder is -9

3 0
3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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