The greatest of the common factors of two or more numbers is
called the greatest common factor of the two or more numbers.
Oooweeeooo . . . What did I just say . . . ?
Median age of 1 is 17, median age of 2 is 19 so the average age of party 1 is younger
the range of 1 is 27, the range of 2 is 20 so the range of 1 is larger, which means there is more variance
the answer should be
<span>A. A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2.</span>
Answer:
a) ∠BAC corresponds to ∠CDA
Step-by-step explanation:
We assume that the statement ∠BCA ≅ ∠CAD is supposed to mean ΔBCA ~ ΔCAD.
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For any statement about correspondence to be true, the order of the vertex names in the statement must match the order of the vertex names in the similarity claim.
Here, the letters of ∠BAC are the 1st, 3rd, and 2nd letters of the name of the first triangle in the assumed similarity statement. The 1st, 3rd, and 2nd letters in the name of ΔCAD are C, D, A, so corresponding angles are ...
∠BAC and ∠CDA . . . . . matches answer choice A
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<em>Comment on the problem statement</em>
As written here, ∠C in the first triangle corresponds to ∠A in the second triangle. This tells you nothing about the relationships of the other angles or sides. That is why we have to assume a similarity statement is intended. Otherwise, the problem cannot be appropriately answered.
For quadratics, these formulas are used mainly for factoring.
Your equation can be written as ...
... 2(x² +2x -3) = 0
You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...
... 2(x -1)(x +3) = 0
The roots are then 1 and -3, which sum to -b = -2.
(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)
Answer:
y=2/15
Step-by-step explanation:
8+(6/y)=53
We move all terms to the left:
8+(6/y)-(53)=0
Domain of the equation: y)!=0
y!=0/1
y!=0
We add all the numbers together, and all the variables
(+6/y)+8-53=0
We add all the numbers together, and all the variables
(+6/y)-45=0
We get rid of parentheses
6/y-45=0
We multiply all the terms by the denominator
-45*y+6=0
We add all the numbers together, and all the variables
-45y+6=0
We move all terms containing y to the left, all other terms to the right
-45y=-6
y=-6/-45
y=2/15
hope this helps.