9514 1404 393
Answer:
(a) ΔWZY ~ ΔWXZ ~ ΔZXY
Step-by-step explanation:
In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.
A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).
ΔWXZ lists sides in order short leg (WX), long leg (XZ).
ΔZXY lists sides in order short leg (ZX), long leg (XY).
The first similarity statement is correct.
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You can compare this to an incorrect one, the last one, for example.
ΔYZW lists sides in order long leg (YZ), short leg (ZW).
ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.
Radius = circumference/2(3.14)
OPTION 3
For this case, we have the following expression:
We simplify the expression:
If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that 
So, we have to:
Answer:
-3x + x + 5 = -2x + 5
The are would be 25
and we could make 3 squares. 75
5inches will be left over.
To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.
10.
-8x - 16
8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.
Factor out a -8:
-8x - 16 = -8(x + 2)
To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.
11.
w^2 - 4w
The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.
w^2 - 4w = w(w - 4)
12.
4s + 10rs
4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s
4s + 10rs = 2s(2 + 5r)
