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torisob [31]
2 years ago
7

Sheila buys some boxes of pens with 20 pens in each box. Which expression represents the total number of pens Sheila bought?

Mathematics
2 answers:
katrin [286]2 years ago
6 0
The expression is:

20b

20 pens * number of boxes
Semmy [17]2 years ago
5 0
Total number of pens = (20 pens/box)*(number of boxes)
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Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?
cestrela7 [59]

Answer:

at least 6

Step-by-step explanation:

3(.5x+3)>12

1.5x+9>12

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Match the following items.
Margarita [4]

Answer:

1. m\angle ECB=50\\2. m\textrm{ arc BC}=100\\3. m\textrm{ arc CD}=80\\4. m\angle DCF=40

Step-by-step explanation:

Given:

\angle DBC=40°

From the triangle, using the theorem that center angle by an arc is twice the angle it subtend at the circumference.

m\textrm{ arc CD}=2\times \angle DBC\\m\textrm{ arc CD}=2\times 40=80

Also, the diameter of the circle is BD. As per the theorem that says that angle subtended by the diameter at the circumference is always 90°,

m\angle BCD=90

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m\angle DBC+m\angle BDC=90\textrm{ (right angled triangle)}\\40+m\angle BDC=90\\m\angle BDC=90-40=50

Now, using the theorem that angle between the tangent and a chord is equal to the angle subtended by the same chord at the circumference.

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Therefore, m\angle DCF=m\angle DBC=40\\m\angle ECB=m\angle BDC=50

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m\angle DCF=50\\\therefore m\textrm{ arc BC}=2\times m\angle DCF=2\times 50=100

Hence, all the angles are as follows:

1. m\angle ECB=50\\2. m\textrm{ arc BC}=100\\3. m\textrm{ arc CD}=80\\4. m\angle DCF=40

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Answer:

the answer is C

Step-by-step explanation:

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Answer:

Option A.

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