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olasank [31]
3 years ago
8

A pair of parallel lines is cut by a transversal What are the measures of the two marked angles?

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

A 40 and 40

Step-by-step explanation: if two of the angles were cut by a transversal you would get A as an answer i think....

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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.
Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers a and b whose sum is a prime number p, that their greatest common divisor is greater than 1.

a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\

Since p is a prime number and d>1, then d=p \wedge e+f=1, but we assumed earlier that e,f\in\mathbb{Z^+}, and there are no two positive integers that sum up to 1.

q.e.d.

7 0
3 years ago
If the price of an item is $34 and the sales tax on it is $1.36,what is the sales-tax rate?
Mandarinka [93]

The tax is 4%, do 1.36 divided by 34

5 0
3 years ago
.?????????????????????????
weqwewe [10]

Step-by-step explanation:

To divide fractions, we have to focus on 4 steps, which are:

1: Change to improper fractions

2: Keep the same

3: Change the sign to multiplication

4: Flip the 2nd fraction in the equation

So, step one:

1/3 / 4/5

Step two:

1/3 / 4/5

Step three:

1/3 x 4/5

Step four:

1/3 x 4/5 = (4 / 15)

4/15 is in simplist for.

Therefore, your answer is 4/15.

Best of Luck to you!!

4 0
3 years ago
A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce
Scilla [17]

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0
2 years ago
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
Hoochie [10]
7.3in have a nice dayyyyyy
8 0
3 years ago
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