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scoundrel [369]
2 years ago
13

What should I fill the blanks with?

Mathematics
2 answers:
Dmitriy789 [7]2 years ago
5 0

Answer:

The three angles form a "linear triplet" ,  so their measures must add up to 180^o

Step-by-step explanation:

Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.

olganol [36]2 years ago
3 0
Linear triplet and 180°
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How many values are in the range 35 to 95?<br><br> A) 62<br> B) 61<br> C) 60<br> D) 59
agasfer [191]

Answer:

61

Step-by-step explanation:

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3 years ago
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Miguel can use all or part of his $25 gift card to make a music purchase.Each song costs $1.50, and there is a $1.00 per account
erastova [34]

Answer:

1.5m + 1 ≤ 25

Step-by-step explanation:

Given:

Total amount of gift card Miguel have = $25

Cost of each song = $1.50

Account activation fee = $1

Find:

Inequality

Computation:

Assume;

Number of song Miguel have = m

So,

Total amount of gift card Miguel have ≥ (Cost of each song)(Number of song Miguel have) + Account activation fee

1.5m + 1 ≤ 25

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3 years ago
Robert is using the following data samples to make a claim about the house values in his neighborhood: House Value A $250,000 B
Nutka1998 [239]
Robert should use the mean to make an inference about the houses values in this neighborhood. The mean is $268,400 and the median is $267,000. The mean is larger suggesting that his neighborhoods value is larger than the median.
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Let l(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet,"
Bas_tet [7]

The question is:

Let l(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements.

a. Jerry does not have an Internet connection.

b. Rachel has not chatted over the Internet with Chelsea.

c. Jan and Sharon have never chatted over the Internet.

d. No one in the class has chatted with Bob.

e. Sanjay has chatted with everyone except Joseph.

f. Someone in your class does not have an Internet connection.

g. Not everyone in your class has an Internet connection.

h. Exactly one student in your class has an internet connection.

i. Everyone except one student in your class has an Internet connection.

j. Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class.

k. Someone in your class has an Internet connection but has not chatted with anyone else in your class.

l. There are two students in your class who have not chatted with each other over the Internet.

m. There is a student in your class who has chatted with everyone in your class over the Internet.

n. There are at least two students in your class who have not chatted with the same person in your class.

o. There are two students in the class who between them have chatted with everyone else in the class.

Step-by-step explanation:

Note that: Because the arguments are variables, we write

Ix = I(x)

Cxy = C(x,y)

a. Jerry does not have an Internet connection.

~I(Jerry).

b. Rachel has not chatted over the internet with Chelsea.

~C(Rachel,Chelsea).

c. Jan and Sharon have never chatted over the internet.

~C(Jan,Sharon).

d. No one in the class has chatted with Bob.

~∃x C(x, Bob).

e. Sanjay has chatted with everyone except Joseph.

∀y (y ≠ Joseph → C(Sanjay, y)).

f. Someone in your class does not have an internet connection.

∃x ~Ix.

g. Not everyone in your class has an internet connection.

~∀x Ix.

h. Exactly one student in your class has an internet connection.

∃x (Ix ∧ ∀y (Iy → y = x)).

i. Everyone except one student in your class has an internet connection. This means exactly one student does not have a connection.

∃x (~Ix∧ ∀y (Iy → y = x)).

j. Everyone in your class with an internet connection has chatted over the internet with at least one other student in your class.

∀x (Ix → ∃y (Cxy ∧ x ≠ y)).

Assuming nobody can chat with him or herself, then

∀x (Ix → ∃y (Cxy))

k. Someone in your class has an internet connection but has not chatted with anyone else in your class.

∃x (Ix ∧ ∀y ~Cxy).

l. There are two students in your class who have not chatted with each other over the internet.

∃x ∃y (x ≠ y∧~Cxy).

m. There is a student in your class who has chatted with everyone in your class over the internet.

∃x ∀y Cxy.

n. There are at least two students in your class who have not chatted with the same person in your class. ∃x ∃y (x ≠ y ∧ ∃z (~Cxz ∧ ~Cyz)).

o. There are two students in the class who between them have chatted with everyone else in the class.

∃x ∃y (x ≠ y ∧ ∀z (Cxz ∨ Cyz)).

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3 years ago
What is the standard form of the equation of the circle to the​ right?
Shkiper50 [21]

Answer:

(y+2)^2+(x+3)^2=1

Step-by-step explanation:

Because this circle has a center at (-3,-2) and a radius of 1, the equation is (y+2)^2+(x+3)^2=1. Hope this helps!

3 0
3 years ago
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