An online flower service sells boxes of roses. Each box contains one dozen roses of only one color. The choices are red, white,
or pink. Based on the last 1000 orders, about how many boxes out of the next 100 orders will be for white or pink roses?
A) 11
B) 32
C) 21
D) 48
A) 11
B) 32
C) 21
D) 48
1 answer:
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Answer:
Given: A triangle ABC and a line DE parallel to BC.
To prove: A line parallel to one side of a triangle divides the other two sides proportionally.
Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have
∠A=∠A (Common)
∠ADE=∠ABC (Corresponding angles)
Thus, by AA similarity, ΔABC is similar to ΔADE, therefore
AB/AD= AC/AE
⇒AD+DB/AD = AE+EC/AE
⇒1+DB/AD = 1+ EC/AE
⇒DB/AD = EC/AE
Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.
⇒Therefore Proved
Hope this helps!!!
We know the following relationship:
The domain of a function are the inputs of the function, that is, a function
is a relation that assigns to each element 
in the set A exactly one element in the set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function 
we can write its domain as follows:
1. D<span>omain of validity for:
</span>
When:
?
when:
where k is an integer either positive or negative. That is:
To match this with the choices above, the answer is:
<span>"All real numbers except multiples of
"
</span>
2. which identity is not used in the proof of the identity
:
This identity can proved as follows:
The identity that is not used is as established in the statement above:
<span>"1 +cos squared theta over sin squared theta= csc2theta"
Written in mathematical language as follows:
</span>
<span>
</span>
The domain of a function are the inputs of the function, that is, a function
1. D<span>omain of validity for
</span>
When:
when:
where k is an integer either positive or negative. That is:
To match this with the choices above, the answer is:
<span>"All real numbers except multiples of
</span>
2. which identity is not used in the proof of the identity
This identity can proved as follows:
The identity that is not used is as established in the statement above:
<span>"1 +cos squared theta over sin squared theta= csc2theta"
Written in mathematical language as follows:
</span>
</span>
Answer:
C
Step-by-step explanation:
The polynomial on the graph has zeros or x-intercepts at x = -3, 0, 2, 4. These come from the factors x (x+3)(x-2)(x-4). Notice at 4 it doesn't cross but just touches. This means it has a degree of 2. So the factors are . This matches to C.